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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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Purple Purple Purple 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 Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Brown\nBlack Yellow Black Black Black Black Black Brown Black Brown\nBlack Black Black Brown Gray Black Black Purple Black Brown\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Green Black Black Brown Black Black Black\nBlack Black Black Black Black Purple Brown Black Black Black\nBlack Black Black Brown Black Yellow Black Brown Black Black\nRed Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Orange Brown Black Black Black Black Black Black Black\n\nOutput:\nYellow Red Red Red Red Red Red Red Red Yellow\nRed Red Red Red Red Red Red Yellow Red Yellow\nRed Red Red Yellow Red Red Red Red Red Yellow\nRed Red Red Red Red Red Red Red Red Yellow\nRed Red Red Red Red Red Yellow Red Red Red\nRed Red Red Red Red Red Yellow Red Red Red\nRed Red Red Yellow Red Red Red Yellow Red Red\nRed Red Red Red Red Red Red Red Yellow Red\nRed Red Red Red Red Red Red Red Yellow Red\nRed Red Yellow Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Gray Black Green Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Brown Yellow\nGreen Black Black Black Black Green Black Black Green Black\nPink Black Black Black Black Brown Yellow Black Black Black\nBlack Brown Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Green Black Black Black Black Black Green Black Black\nBlack Red Black Black Green Black Black Black Green Black\nBlack Black Green Black Black Green Pink Red Black Black\nBlack Black Black Gray Black Green Black Green Black Black\n\nOutput:\nRed Red Red Red Yellow Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red\nYellow Red Red Red Red Yellow Red Red Yellow Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Yellow Yellow Yellow Yellow Yellow Red Red\nRed Red Red Red Red Red Red Yellow Red Red\nRed Yellow Red Red Red Red Red Yellow Red Red\nRed Red Red Red Yellow Red Red Red Yellow Red\nRed Red Yellow Red Red Yellow Red Red Red Red\nRed Red Red Red Red Yellow Red Yellow Red Red\n\n\nExample 3\nInput:\nBlack Gray Black Black Black Black Black Black Black Red\nBlack Black Gray Gray Black Black Gray Black Black Black\nGray Gray Gray Black Black Black Black Black Black Purple\nBlack Black Gray Black Gray Black Orange Black Black Black\nGray Gray Black Black Gray Black Black Black Black Black\nBlue Black Black Black Yellow Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Black Pink Black Black Gray Gray Black Black Orange\nBlack Black Black Black Black Gray Gray Black Red Black\nGray Black Black Black Black Black Gray Black Black Gray\n\nOutput:\nRed Yellow Red Red Red Red Red Red Red Red\nRed Red Yellow Yellow Red Red Yellow Red Red Red\nYellow Yellow Yellow Red Red Red Red Red Red Red\nRed Red Yellow Red Yellow Red Red Red Red Red\nYellow Yellow Red Red Yellow Red Red Red Red Red\nRed Red Red Red Red Red Red Red Yellow Red\nRed Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Yellow Yellow Red Red Red\nRed Red Red Red Red Yellow Yellow Red Red Red\nYellow Red Red Red Red Red Yellow Red Red Yellow\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Red Black Red Black Black\nBlack Black Black Black Black Black Black Yellow Black Red\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Red Black Black Black Black Brown Black Black\nBlack Red Black Black Black Black Orange Red Black Red\nBlack Black Yellow Black Pink Black Black Black Black Red\nRed 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 Red Yellow Yellow 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 Yellow Red Yellow Red Red\nRed Red Red Red Red Red Red Red Red Yellow\nRed Red Red Red Red Red Yellow Red Red Red\nRed Red Yellow Red Red Red Red Red Red Red\nRed Yellow Red Red Red Red Red Yellow Red Yellow\nRed Red Red Red Red Red Red Red Red Yellow\nYellow Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Gray Yellow Green Green Green Green Green Green Green Green Green Green Green Green\nGray Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green\nYellow Blue Black Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Gray Yellow Green Green Green Green Green Green Green Green Green Green Green Green\nGray Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green\nYellow Blue Black Gray Yellow Green Green Green Green Green Green Green Green Green Green\nGreen Green Gray Blue Blue Green Green Green Green Green Green Green Green Green Green\nGreen Green Yellow Blue Black Gray Yellow Green Green Green Green Green Green Green Green\nGreen Green Green Green Gray Blue Blue Green Green Green Green Green Green Green Green\nGreen Green Green Green Yellow Blue Black Gray Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Gray Blue Blue Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Blue Black Gray Yellow Green Green Green Green\nGreen Green Green Green Green Green Green Green Gray Blue Blue Green Green Green Green\nGreen Green Green Green Green Green Green Green Yellow Blue Black Gray Yellow Green Green\nGreen Green Green Green Green Green Green Green Green Green Gray Blue Blue Green Green\n\n\nExample 2\nInput:\nBlue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nGray Gray Gray 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input 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\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple 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\nBlack Black Black Black Black Black Purple Purple 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\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 Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Orange Orange Gray Gray Gray Gray\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Orange Orange Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Purple Purple 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\nBlack Black Black Black Black Black Purple Purple 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\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 Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple 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\nBlack Gray Gray Gray Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Gray Gray Gray Black Purple Purple Purple Purple 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 Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Brown Brown Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Brown Brown Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Brown Brown Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Brown Brown Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Brown Brown Brown Black Black Black Purple Purple Purple Purple Purple\nBlack Brown Brown Brown Black Black Black Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Red Red Black Black Black Black Black\nRed Black Black Red Black Black Black Red Black Black Red Black Black Black Black\nBlack Red Red Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Blue Blue Black Black Black Black Black\nRed Black Black Red Black Black Black Blue Black Black Blue Black Black Black Black\nBlack Red Red Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Green Black Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Green Black Blue Blue Blue Blue Black Red Black Black Black Black Black\nBlack Black Red Black Blue Blue Blue Blue Black Red Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Red Red Red Red Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Red Red Red Red Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Red Red Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Red Red Black Black Black\nBlack Black Red Red Red Red Black Black Black Red Red Red Red Black Black\nBlack Black Red Red Red Red Black Black Black Red Red Red Red Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Blue Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Black Black Red Black Black Black Black Red Black Black Red\nBlack Black Black Black Red Red Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Red Red Black\nBlack Black Black Blue Black Black Blue Black Black Black Black Red Black Black Red\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Red Red Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Blue Blue Blue\nBlack Yellow Yellow Black Yellow Yellow Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Brown Brown Black Black Black Black Black Black Orange Orange Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Brown Brown Black Black Black Black Black Black Orange Orange Black\n\nOutput:\nYellow Brown Brown Yellow Yellow\nBrown Brown Yellow Yellow Yellow\nBrown Brown Blue Yellow Yellow\nBlue Brown Brown Black Black\nOrange Orange Black Black Black\nBlack Orange Orange Black Black\nBlack Orange Orange Black Black\nOrange Orange Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Pink Pink Black Black Black Blue Blue Blue\nBlack Pink Pink Pink Pink Pink Black Black Blue Blue Blue\nBlack Pink Pink Pink Pink Pink Black Black Black Blue Blue\nBlack Pink Pink Pink Pink Black Black Orange Orange Orange Black\nBlack Pink Pink Pink Pink Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Orange Black Orange Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black\n\nOutput:\nBlack Black Pink Pink Blue\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Blue\nPink Pink Pink Pink Black\nOrange Orange Orange Orange Black\nBlack Orange Black Orange Black\nOrange Orange Orange Orange Black\nBlack Orange Orange Orange Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black\nBlack Gray Gray Gray Black Black Black Black Black Purple Black Black Black\nBlack Gray Black Gray Black Black Black Black Purple Purple Purple Black Black\nBlack Gray Black Gray Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Yellow Yellow\nGray Yellow Gray Yellow Yellow\nGray Yellow Gray Yellow Yellow\nBlack Black Black Purple Black\nBlack Black Purple Purple Purple\nBlack Black Black Purple Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Purple Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Purple Black Green Green Black Gray Gray Gray Gray Black Black Black\nBlack Purple Purple Purple Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Purple Black Black Black Black Gray Gray Gray Gray Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Purple Gray Gray Black\nGreen Purple Gray Black Black\nPurple Purple Purple Gray Black\nGreen Purple Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Blue Black Black Blue\nBlack Black Black Black Black Blue Black Black Blue Black Blue Blue Black\nBlack Black Black Black Blue Black Blue Blue Black Blue Blue Blue Black\nBlack Black Black Blue Black Blue Blue Blue Black Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Blue 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 Green Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Red Green Black Green Black Black\nBlack Black Black Black Black Black Green Red Red Green Black Black Green\nBlack Black Black Black Black Green Red Red Red Red Green Green Black\nBlack Black Black Black Green Red Red Red Red Red Red Green Black\nBlack Black Black Green Black Green Red Red Red Green Green Black Black\nBlack Black Black Black Black Green Green Red Green Black Black Black Black\nBlack Black Black Black Green Black Black Green Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Green Red Green Black Black Black Black Black Black Black\nBlack Green Red Green Black Black Black Black Black Black Black Black\nGreen Red Green Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Blue Black Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Black Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Green Red Green Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Green Black Green Black\nBlack Black Black Black Black Black Black Green Red Green Black Black\nBlack Black Black Black Black Black Green Red Red Green Black Black\nBlack Black Black Black Green Green Red Green Green Black Black Black\nBlack Black Black Green Red Green Green Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue 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 Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green 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 Orange Black Black Black Black Black Black Black Green\nBlack Black Black Black Orange Black Black Black Black Black Black Black Green\nBlack Black Black Black Orange Black Black Black Black Black Black Black Green\nBlack Black Black Black Orange Black Black Black Black Black Black Black Green\nPurple Purple Purple Purple Orange Purple Purple Purple Purple Purple Purple Purple Green\nBlack Black Black Black Orange Black Black Black Black Black Black Black Green\nBlack Black Black Black Orange Black Black Black Black Black Black Black Green\nBlack Black Black Black Orange Black Black Black Black Black Black Black Green\nBlack Black Black Black Orange Black Black Black Black Black Black Black Green\nBlack Black Black Black Orange Black Black Black Black Black Black Black Green\nBlack Black Black Black Orange Black Pink Black Pink Black Black Black Green\nBlack Black Black Black Orange Black Black Pink Black Pink Black Black Green\nBlack Black Black Black Orange Black Orange Black Pink Black Pink Black Green\n\nOutput:\nBlack Black Black Black Orange Black Black Black Black Black Black Black Orange\nBlack Black Black Black Orange Black Black Black Black Black Black Black Orange\nBlack Black Black Black Orange Black Black Black Black Black Black Black Orange\nBlack Black Black Black Orange Black Black Black Black Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Black Black Black Black Black Black Black Orange\nBlack Black Black Black Orange Black Black Black Black Black Black Black Orange\nBlack Black Black Black Orange Black Black Black Black Black Black Black Orange\nBlack Black Black Black Orange Black Black Black Black Black Black Black Orange\nBlack Black Black Black Orange Black Black Black Black Black Black Black Orange\nBlack Black Black Black Orange Black Pink Black Pink Black Black Black Orange\nBlack Black Black Black Orange Black Black Pink Black Pink Black Black Orange\nBlack Black Black Black Orange Black Orange Black Pink Black Pink Black Orange\n\n\nExample 2\nInput:\nBlack Black Red Black Brown Black Pink Blue Orange Black Black Brown\nBlack Black Red Black Brown Black Pink Blue Orange Black Black Brown\nBlack Black Red Black Brown Black Pink Blue Orange Black Black Brown\nBlack Black Red Black Brown Black Pink Blue Orange Black Black Brown\nBlue Blue Blue Blue Brown Blue Pink Blue Orange Blue Blue Brown\nBlack Black Red Black Brown Black Pink Blue Orange Black Black Brown\nBlack Black Red Black Brown Black Pink Blue Orange Black Black Brown\nBlack Black Red Black Brown Black Pink Blue Orange Black Black Brown\nBlack Black Red Black Brown Black Pink Blue Orange Black Black Brown\nOrange Orange Orange Orange Brown Orange Pink Blue Orange Orange Orange Brown\nBlack Black Red Black Brown Black Pink Blue Orange Black Black Brown\nBlack Black Red Black Brown Black Pink Blue Orange Black Black Brown\n\nOutput:\nBlack Black Orange Black Orange Black Orange Orange Orange Black Black Orange\nBlack Black Orange Black Orange Black Orange Orange Orange Black Black Orange\nBlack Black Orange Black Orange Black Orange Orange Orange Black Black Orange\nBlack Black Orange Black Orange Black Orange Orange Orange Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Black Orange Black Orange Orange Orange Black Black Orange\nBlack Black Orange Black Orange Black Orange Orange Orange Black Black Orange\nBlack Black Orange Black Orange Black Orange Orange Orange Black Black Orange\nBlack Black Orange Black Orange Black Orange Orange Orange Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Black Orange Black Orange Orange Orange Black Black Orange\nBlack Black Orange Black Orange Black Orange Orange Orange Black Black 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\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Red Black\nBlack Black Black Black Black Black Black Green Black Black Black Blue Black Red\nBlack Black Black Black Black Black Black Black Green Black Black Black Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Red Black\nBlack Black Black Black Black Black Black Green Black Black Black Blue Black Red\nBlack Black Black Black Black Black Black Black Green Black Black Black Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Black Black Pink Orange Black Black Black Black Black Black Black Black\nYellow Black Black Black Pink Orange Brown Black Black Black Black Black Black Black\nYellow Gray Gray Gray Pink Orange Gray Brown Gray Gray Gray Gray Gray Gray\nYellow Black Black Black Pink Orange Black Black Brown Black Black Black Black Black\nYellow Brown Brown Brown Pink Orange Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Black Black Black Pink Orange Black Black Black Orange Brown Black Black Black\nYellow Black Black Black Pink Orange Black Black Black Black Orange Brown Black Black\nYellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Pink Pink\nYellow Black Black Black Pink Orange Black Black Black Black Black Black Orange Brown\nYellow Black Black Black Pink Orange Black Black Black Black Black Black Black Orange\nYellow Black Black Black Pink Orange Black Black Black Black Black Black Black Black\nYellow Brown Brown Brown Brown Orange Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Black Black Black Pink Orange Black Black Black Black Black Black Black Black\nYellow Black Black Black Pink Orange Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Black Black Black Pink Orange Black Black Black Orange Orange Black Black Black\nYellow Black Black Black Pink Orange Brown Black Black Orange Orange Orange Black Black\nYellow Gray Gray Gray Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Black Black Black Pink Orange Black Black Brown Orange Orange Black Black Orange\nYellow Brown Brown Brown Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Black Black Black Pink Orange Black Black Black Orange Orange Black Black Black\nYellow Black Black Black Pink Orange Black Black Black Orange Orange Brown Black Black\nYellow Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Black Black Black Pink Orange Black Black Black Orange Orange Black Orange Brown\nYellow Black Black Black Pink Orange Black Black Black Orange Orange Black Black Orange\nYellow Black Black Black Pink Orange Black Black Black Orange Orange Black Black Black\nYellow Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Black Black Black Pink Orange Black Black Black Orange Orange Black Black Black\nYellow Black Black Black Pink Orange Black Black Black Orange Orange Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red 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 Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange 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 Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Orange Black Black Black Black Black Black Black 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 Purple Black Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Purple Purple Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Orange Orange Blue Purple Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Pink Purple Blue Green Green Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Green Green Yellow Black Green Black Black Black Black\nPink Black Black Black Black Black Black Yellow Brown Yellow Yellow Black Black Black Black Black Black\nBlack 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\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Orange Orange Blue Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Blue Green Green Green Brown Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlue 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\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Purple Blue Purple Black Blue Black Black Black Black\nBlack Black Black Black Black Yellow Pink Blue Pink Yellow Black Black Black Red Black\nBlack Black Black Black Black Pink Pink Gray Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black\nBlue Black Black Black Black Brown Brown Black Brown Brown Black Black Brown Black Black\nBlack Black Black Green Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black 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 Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Pink Blue Blue Yellow Black Black Black Black Black\nBlack Black Black Black Black Pink Gray Gray Gray Pink Black Black Black Black Black\nBlack Black Black Black Black Brown Gray Gray Gray Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Red Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Red Red Green Purple Purple Black Black Black Black Blue\nBlack Black Black Black Black Black Red Red Blue Green Blue Black Black Black Black Black\nBlack Black Black Black Black Black Pink Brown Gray Orange Purple Black Green Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Green Green Purple Black Black Black Black Black\nBlack Black Black Black Black Black Red Brown Brown Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Pink Brown Brown Orange Green Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black 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 Brown Black Black Black Pink\nBlack Green Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Purple Gray Gray Black Black Black Black\nBlack Black Black Brown Black Gray Purple Purple Purple Blue Black Black Black Black\nBlack Black Black Black Black Purple Purple Yellow Purple Purple Black Black Black Black\nBlack Black Black Black Black Blue Purple Purple Purple Gray Black Black Black Black\nPink Black Black Black Black Black Gray Purple 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 Gray Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Blue Purple Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Purple Purple Purple Blue Black Black Black Black\nBlack Black Black Black Black Purple Purple Yellow Purple Purple Black Black Black Black\nBlack Black Black Black Black Blue Purple Purple Purple Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Purple Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Green Black Green Black Green Black Yellow Blue Blue Blue Yellow Black\nBlack Black Black Green Green Green Green Green Black Yellow Blue Blue Blue Yellow Black\nBlack Black Black Green Green Green Green Green Black Yellow Blue Blue Blue Yellow Black\nBlack Black Black Black 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\n\nOutput:\nBlue Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Blue Blue Blue Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Blue Blue Blue Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Blue Blue Blue Yellow Black\nBlack Black Black Black 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 Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Yellow Black Black Black Black Black Green Black Black Black Black\nYellow Black Black Black Yellow Black Black Black Black Green Green Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Blue Blue Blue Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Blue Blue Blue Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Blue Blue Blue Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Green 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 Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Yellow Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Blue Blue Blue Yellow\nBlack 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\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```\nBlue Blue Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Black Green Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Green Black Black Black Green Black Black Black Green Black Black\nBlack Black Black Blue Black Yellow Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Green Blue Red Black Black Yellow\nBlack Black Black Black Black Blue Black Black Black Black Red Black Black\nBlack Black Black Green Black Black Green Blue Black Green Black Black Black\nBlack Black Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Red Yellow Black Red Black Black Blue\nBlack Black Black Black Black Black Black Yellow Black Black Red Black Black\nBlack Black Black Black Blue Red Red Yellow Black Black Black Black Blue\nBlack Black Black Yellow Black Black Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Red Green Black Blue Blue Black Black\n\nOutput:\nBlack Yellow Yellow Yellow Red Green Black Green Black Black Black Black Black\nRed Yellow Black Black Black Black Blue Black Black Green Black Black Black\nRed Black Green Black Black Black Green Black Black Black Green Black Black\nRed Green Black Blue Blue Yellow Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Green Blue Red Black Black Yellow\nBlack Black Black Black Black Blue Black Black Black Black Red Black Black\nBlack Black Black Green Black Black Green Blue Black Green Black Black Black\nBlack Black Black Green Red Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Red Yellow Black Red Black Black Blue\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Red Green Black\nBlack Black Black Black Blue Red Red Yellow Black Black Black Black Blue\nBlack Black Black Yellow Black Black Red Black Green Black Black Black Green\nBlack Black Red Black Black Black Red Green Black Blue Blue Yellow Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Green Red Black Black Black Black\nBlack Black Red Black Black Yellow Black Blue Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Green Black Black\nRed Black Black Black Black Black Black Black Black Black Green Black\nBlack Red Black Yellow Yellow Blue Black Black Black Black Black Black\nRed Black Black Black Black Black Green Black Black Black Black Blue\nBlack Black Black Blue Black Yellow Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Blue Green Yellow Black Black\nBlack Black Black Black Red Green Black Black Black Red Red Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Yellow\nBlue Black Black Black Black Black Black Green Black Yellow Red Black\n\nOutput:\nBlack Green Black Black Black Black Green Red Black Black Black Black\nBlack Black Red Black Black Yellow Black Blue Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Green Black Black\nRed Black Black Black Black Black Black Black Black Black Green Black\nYellow Red Black Yellow Yellow Blue Black Black Black Black Black Red\nRed Red Green Black Black Black Green Black Black Black Blue Blue\nBlack Black Black Blue Black Yellow Black Black Black Red Black Black\nBlack Black Yellow Black Black Black Black Blue Green Yellow Red Black\nYellow Red Black Black Red Green Black Black Black Red Red Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Yellow\nBlue Black Black Black Black Black Black Green Black Yellow Red Black\n\n\nExample 3\nInput:\nGreen Black Yellow Yellow Blue Black Black Black Black Black Black Black Yellow Red\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Red\nRed Black Black Black Blue Black Black Black Black Black Black Black Green Black\nBlack Black Yellow Black Black Green Black Black Blue Black Red Black Black Black\nBlack Green Black Black Black Red Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Red Black Black Black Blue Black Black Black\nBlack Black Yellow Yellow Black Black Black Red Black Black Red Green Black Black\nYellow Black Black Red Black Black Black Black Black Blue Black Black Blue Green\nBlack Black Green Red Black Yellow Black Black Black Black Black Yellow Black Black\nBlue Black Black Yellow Black Black Green Black Blue Red Black Black Red Black\nBlack Black Blue Black Yellow Black Black Green Black Black Black Black Black Black\nBlue Black Black Black Black Green Black Black Black Green Black Black Black Black\n\nOutput:\nGreen Red Yellow Yellow Blue Blue Black Black Black Black Black Black Yellow Red\nBlack Black Red Black Black Red Green Black Blue Black Black Black Black Red\nRed Black Black Black Blue Black Black Blue Green Black Black Black Green Black\nYellow Black Yellow Black Black Green Yellow Black Blue Black Red Black Black Black\nBlack Green Black Blue Red Red Black Red Black Black Black Black Black Green\nBlack Black Green Black Black Green Red Yellow Yellow Blue Blue Black Black Black\nGreen Black Yellow Yellow Green Black Black Red Black Black Red Green Black Blue\nYellow Black Black Red Black Red Black Black Black Blue Black Black Blue Green\nBlack Black Green Red Black Yellow Black Yellow Black Black Green Yellow Black Blue\nBlue Black Black Yellow Black Black Green Black Blue Red Red Black Red Black\nBlack Black Blue Black Yellow Black Black Green Black Black Green Red Yellow Yellow\nBlue Black Black Black Black Green Black Yellow Yellow Green Black Black Red Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Yellow Black Black Black Red Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Yellow Black Green Black\nBlack Black Black Black Green Black Black Black Blue Blue Black Black Blue Black\nBlue Black Black Black Black Black Black Green Black Black Black Black Black Black\nGreen Black Red Black Yellow Red Black Yellow Black Black Black Red Black Black\nBlack Black Black Black Black Red Black Black Red Black Black Black Blue Black\nBlack Green Black Black Black Red Black Black Blue Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Green Blue Red Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Red Black Red\nBlack Black Black Yellow Black Black Black Yellow Black Green Yellow Green Black Black\nBlack Black Black Green Black Black Blue Black Red Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Blue Yellow Black Black Black\nYellow Black Black Yellow Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Red 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```\nBlack Yellow Black Black Black Red Green Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Blue Black Black Yellow Black Green Black\nBlack Black Black Black Green Black Black Black Blue Blue Black Black Blue Black\nBlue Black Black Black Black Black Black Green Black Black Black Black Black Black\nGreen Black Red Black Yellow Red Black Yellow Black Black Black Red Black Black\nBlack Black Black Black Black Red Black Black Red Black Black Black Blue Black\nBlack Green Black Black Black Red Black Black Blue Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Green Blue Red Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Red Black Red\nBlack Black Black Yellow Black Black Black Yellow Black Green Yellow Green Black Black\nBlack Black Black Green Black Black Blue Black Red Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Blue Yellow Black Black Black\nYellow Black Black Yellow Black Black Black Black Black Red Black Black Black Black\nBlack Yellow Black Black Black Red Green Black Black Black Black Black Black Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Brown 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 Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Green Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Gray Black Black Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray 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\nBlack Black Black Black Black Black 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 Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Brown Brown Black Brown Black Black Black Black Black Brown\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Brown Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Brown Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\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 Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack 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\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack 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\nBlack Black 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 Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Pink Gray Gray Black Black Black\nBlack Black Black Black Black Black Pink Black Gray Gray Gray Gray Black Black Pink\nBlack 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\nBlack Black 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 Black\nBlack Black Black Black Pink Pink Pink Pink Pink Red Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Red Red Red Black Black Black\nBlack Black Pink Black Black Black Black Black Black Red Pink Red Black Black Black\nBlack Black Black Black Black Black Black Pink Black Red Red Red 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 Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Red Red Red Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black\n\n\nExample 3\nInput:\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Purple Green Purple Purple Black\nBlack Black Black Black Black Green Black Pink Pink Pink Pink Purple Purple Purple Purple Black\nBlack Green Black Black Black Black Black Pink Pink Pink Pink Purple Purple Purple Purple Green\nBlack Black Brown Brown Brown Black Black Pink Pink Pink Pink Purple Purple Purple Purple Black\nBlack Black Brown Brown Brown Black Black Black Black Black Green Green Purple Purple Purple Black\nBlack Black Brown Green Brown Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Green Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Purple Purple Purple Purple Black\nBlack Black Brown Brown Brown Black Black Pink Pink Pink Pink Purple Purple Purple Purple Black\nBlack Black Brown Brown Brown Black Black Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Black\nBrown Black Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Black\nBlack Black Black Black Black Brown Black Brown Yellow Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Brown Black Black Black\nBlack Black Black Black Black Black Black Black Brown Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Brown Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Brown Brown Brown Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack 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\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 Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Gray Black Black Black Gray Black\nGray Gray Gray Black Black Gray Gray Gray Gray Black Black Gray Black Black Black Gray Black\nGray Gray Gray Black Black Gray Gray Gray Gray Black Black Gray Black Black Black Gray Black\nGray Gray Gray Black Black Gray Gray Gray Gray Black Black Gray Black Black Black Gray Black\nGray Gray Gray Black Black Gray Gray Gray Gray Black Black Gray Black Black Black Gray Black\nGray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Yellow\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Yellow Yellow Gray Yellow Yellow Yellow Gray Yellow\nGray Gray Gray Yellow Yellow Gray Gray Gray Gray Yellow Yellow Gray Yellow Yellow Yellow Gray Yellow\nGray Gray Gray Yellow Yellow Gray Gray Gray Gray Yellow Yellow Gray Yellow Yellow Yellow Gray Yellow\nGray Gray Gray Yellow Yellow Gray Gray Gray Gray Yellow Yellow Gray Yellow Yellow Yellow Gray Yellow\nGray Gray Gray Yellow Yellow Gray Gray Gray Gray Yellow Yellow Gray Yellow Yellow Yellow Gray Yellow\nGray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray Black Black\nGray Black Black Black Black Gray Black Black Black Black Gray Gray Gray Black Black\nGray Black Black Black Black Gray Black Black Gray Gray Gray Gray Black Black Black\nGray Black Black Black Black Gray Black Black Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow\nGray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow\nGray Yellow Yellow Yellow Yellow Gray Yellow Yellow Yellow Yellow Gray Gray Gray Yellow Yellow\nGray Yellow Yellow Yellow Yellow Gray Yellow Yellow Gray Gray Gray Gray Yellow Yellow Yellow\nGray Yellow Yellow Yellow Yellow Gray Yellow Yellow Gray Gray Gray Gray Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray Yellow Yellow\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 Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Yellow Yellow Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black 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 Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Gray Gray Gray Yellow Yellow Gray Gray Gray Gray Gray Gray Gray\nYellow Yellow Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Gray Gray Gray 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 Gray Gray Gray Gray Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Gray Yellow Yellow Gray Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Gray Yellow Yellow Gray Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Gray Yellow Yellow Gray Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Gray Yellow Yellow Gray Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Gray Yellow Yellow Gray Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\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 Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Orange Orange Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Orange Orange Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\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 Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Orange Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Orange Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Orange Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Gray Gray Gray Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Pink Pink Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange Black Black Black Black Black Black Black Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Purple Purple Black Black Black Purple Purple Orange Black\nBlack Orange Purple Purple Black Black Black Purple Purple Orange Black\nBlack Orange Black Purple Purple Purple Purple Purple Black Orange Black\nBlack Orange Purple Purple Purple Purple Purple Purple Purple Orange Black\nBlack Orange Purple Purple Purple Purple Purple Purple Purple Orange Black\nBlack Orange Purple Purple Purple Purple Purple Purple Purple Orange Black\nBlack Orange Purple Purple Purple Purple Purple Purple Purple Orange Black\nBlack Orange Black Purple Purple Purple Purple Purple Black Orange Black\nBlack Orange Black Black Purple Purple Purple Black Black Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Black Black Black Black Black Black Black Orange 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 Orange Orange Black Black Black Orange Orange Black Black\nBlack Black Orange Orange Black Black Black Orange Orange Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Yellow Black Black Black Black Black Black Black Black Black Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Orange Orange Orange Black Black Black Orange Orange Orange Yellow Black\nBlack Yellow Orange Orange Orange Orange Black Orange Orange Orange Orange Yellow Black\nBlack Yellow Orange Orange Orange Orange Black Orange Orange Orange Orange Yellow Black\nBlack Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Black\nBlack Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Black\nBlack Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Black Black Black Black Black Black Black Black Yellow 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 Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 3\nInput:\nBlack Brown Black Black Black Black Black Black Black Black Black Black Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Brown Gray Gray Gray Gray Black Black Black Gray Gray Black Brown Black\nBlack Brown Gray Gray Gray Gray Black Black Black Gray Gray Gray Brown Black\nBlack Brown Gray Gray Gray Gray Gray Black Black Black Gray Gray Brown Black\nBlack Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Brown Black\nBlack Brown Gray Gray Gray Gray Gray Gray Gray Black Black Black Brown Black\nBlack Brown Gray Gray Gray Gray Gray Gray Black Black Black Black Brown Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Brown Black Black Black Black Black Black Black Black Black Black Brown 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 Brown Brown Brown Brown Black Black Black Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Black Black Black Black Black Black Black Black Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Pink Pink Pink Pink Black Black Black Pink Gray Black\nBlack Gray Black Pink Pink Pink Pink Black Pink Pink Gray Black\nBlack Gray Black Black Pink Pink Pink Pink Pink Pink Gray Black\nBlack Gray Black Pink Pink Pink Pink Pink Pink Pink Gray Black\nBlack Gray Pink Pink Pink Pink Pink Pink Pink Black Gray Black\nBlack Gray Pink Pink Pink Pink Pink Pink Black Black Gray Black\nBlack Gray Pink Pink Black Pink Pink Pink Pink Black Gray Black\nBlack Gray Pink Black Black Black Pink Pink Pink Pink Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Black Black Black Black Black Black Black Black Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Gray Black Black\nBlack Black Black Gray Gray Gray Gray Black Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Black Gray Gray Gray Gray Black Black Black\nBlack Black Gray Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown 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 Orange Orange 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 Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Brown Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Pink 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 Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black\nGreen 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen 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 Black Black Black Black Black Black Black Black Black Black Black 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```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow 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 Blue Yellow Black Blue Black\nBlack Black Black Black Black Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow\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 Blue Black Black Black\nBlack Black Black Black Yellow Black Blue\nBlack Black Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Blue\nBlack Black Black Black Black Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Blue 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 Yellow Black Black\n\nOutput:\nBlack Black Black Blue 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 Blue Black Yellow\nBlack Black Black Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Yellow Black Blue Black Yellow Black\nBlack Black Black Black Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Black Black\nBlack Black Black Yellow Black Blue Black Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Brown\nBlack Black Black Black Black Brown Black Brown Black Brown\nBlack Black Black Black Black Black Brown Purple Brown Black\nBlack Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Brown Black Black Black Brown\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 Brown Brown Black Brown Brown\nBlack Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Purple Brown Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Brown Brown Black Brown Brown\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 Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Black 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 Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nRed Red Green Black Red Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\nRed Red Green Red Red Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Black Black Black\nBlack Black Black Black Black Orange Black Orange Black Black\nBlack Black Black Black Black Blue Yellow Black Blue Black\nBlack Black Black Black Black Orange Blue Orange 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\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Blue Blue Black Black Black\nBlack Black Black Black Black Orange Blue Orange Blue Black\nBlack Black Black Black Blue Blue Yellow Blue Blue Black\nBlack Black Black Black Blue Orange Blue Orange 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```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue\nYellow Yellow Black Black Black Blue Blue Blue Blue\nYellow Yellow Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black\nYellow Yellow Orange Orange Orange Orange Black Black Black\nYellow Yellow Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Blue Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Black Black Black\nBlack Black Orange Black Orange Black Black Black\nBlack Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nYellow Yellow Black Blue Blue Black Black\nYellow Yellow Black Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Black\nBlack Black Black Blue Blue Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nYellow Yellow Orange Orange Black Black Black\nYellow Yellow Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Black Black\nBlack Black Orange Orange Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Pink Pink Pink Pink Black Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Pink Pink Pink Pink Black Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Pink Pink Pink Pink Black Black Black Purple Purple Purple Black Black Black\nGreen Green Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nGreen Green Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Black Red Red Red Black Black Black\nBlue Blue Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlue Blue Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Blue Blue Blue Blue 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Red Red Red Red Black Black Black Black\nBlack Blue Blue Blue Black Red Red Red Red Black Black Black Black\nBlack Blue Blue Blue Black Blue Blue Black Black Black Orange Orange Orange\nBlack Black Black Black Black Blue Blue Black Black Black Orange Orange Orange\nBlack Black Black Black Black Blue Blue 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 Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Black Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Black Blue Blue Black Black Black Blue Blue Blue\nBlack Black Black Black Black Blue Blue Black Black Black Blue Blue Blue\nBlack Black Black Black Black Blue Blue 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 Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Black Black Black Black Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Black Black Black Black Red Red Red Red\nGreen Green Green Green Black Black Blue Blue Blue Black Red Red Red Red\nGreen Green Green Green Black Black Blue Blue Blue Black Black Black Black Black\nGreen Green Green Green Black Black Blue Blue Blue Black Black Black Black Black\nBlack Gray Gray Gray Gray Green Green Green Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Green Green Green Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Green Green Green Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Red Red Red Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Red Red Red Black Black Black Black Black\nBlue Blue Blue Blue Black Black Red Red Red Black Black Black Black Black\nBlack Blue Blue Blue Blue Red Red Red Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Red Red Red Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Red Red Red Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Blue Blue Black Black\nBlack Black Black Black Pink Pink Black Black Blue Blue Black Black\nBlack Black Black Black Pink Pink Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Green Green Black Orange Orange Orange Black\nBlack Pink Pink Pink Black Green Green Black Orange Orange Orange Black\nBlack Pink Pink Pink Black Green Green Black Gray Gray Black Black\nBlack Pink Pink Pink Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Black Blue Blue Blue Black\nBlack Red Red Red Black Blue Blue Black Blue Blue Blue Black\nBlack Red Red Red Black Blue Blue Black Blue Blue Black Black\nBlack Red Red Red Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black\nBlack Black Red Red Red Black Black Black\nBlack Black Red Red Red Black Black Black\nBlack Black Green Green Green Black Black Black\nBlack Black Green Green Green Black Black Black\nBlack Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black Black\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 Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black\nBlack Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black\nBlack Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue 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 Red Red Red Black Black\nBlack Black Black Black Red Red Red Black Black\nBlack Black Black Black Red Red Red Black Black\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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black\nBlack Black Black Black Red Red Red Black Black\nBlack Black Black Black Red Red Red Black Black\nBlack Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black 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 Brown Black Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Black Brown Black Black Black Black\nBlack Black Black Black Brown Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown 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 Brown Black Brown\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 Purple Black Purple Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Purple Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Red Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Black Red Black Black Black Black Black Red Black\nBlack Black Red Red Red Red Red Black Red Red Red Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Red Red Red Red Red Black Red Red Red Red\nBlack Black Black Black Red Black Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Red Black Black Black Black Black Red Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Red Red Red Black Black Black Red Red Red\nBlack Black Black Yellow Yellow Yellow Black Red Red Red Red Red Black Red Red Red Red\nBlack Black Black Black Yellow Black Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\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 Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Red Red Red Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nYellow 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 Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red Red Red Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Green Green Green Green Green Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink\nPink Pink Green Green Green Green Green Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink\nPink Pink Green Green Green Green Green Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink\nPink Pink Green Green Green Green Green Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink\nPink Pink Green Green Green Green Green Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink\nPink Pink Green Green Green Green Green Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green\nGreen Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Green\nGreen Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Green Green\nGreen Purple Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Green Green Green Green Green\nGreen Green Purple Purple Purple Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Gray Gray Gray Gray Gray Gray\nGreen Green Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Orange Orange\nYellow Yellow Yellow Yellow Orange Orange\nYellow Yellow Yellow Yellow Orange Orange\nYellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Yellow Yellow Black Black Black Black\nBlack 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 Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Black Black Gray Yellow Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Yellow Gray 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 Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Brown Black\nRed Red Green Green Black Black Black Black Black Black Black Black Brown Brown Black\nRed Red Green Green Black Black Black Black Black Black Gray Gray Gray Gray Black\nGreen Green Green Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Orange Orange Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Red Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Red Red Black\nPink Pink Pink Pink Black Black Black Black Black Black Red Red Red Red Black\nPink Pink Pink Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Orange Yellow Yellow Orange Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Green Green Black Black\nBlack Black Red Gray Red Black Green Green Green Black Green Green Black Black\nBlack Black Black Red Black Black Green Green Green Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Pink Pink Pink Black Blue Blue Blue Black Blue Blue Black Black\nBlack Black Black Pink Black Black Blue Blue Blue Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Green Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Blue Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Green Green Black Blue Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Green Green Black Blue Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Blue Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Blue Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Blue Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Blue Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Blue Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Blue Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Blue Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Yellow Yellow Yellow Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Green Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black 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 Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Blue Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Blue Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Black Black Black Blue Black Blue Black Black Black Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Black Blue Black Black Black Blue Black\nBlack Black Black Pink Pink Black Orange Orange Black Blue Black Pink Black Blue Yellow\nBlack Black Black Black Black Black Orange Orange Black Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Black Black Black Blue Black Blue Black Black Black Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Black Blue Black Black Black Blue Black\nBlack Black Black Pink Pink Black Orange Orange Black Blue Black Blue Black Blue Yellow\nBlack Black Black Black Black Black Orange Orange Black Blue Blue Blue Blue Blue Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Pink Black\nBlack Black Black Blue Red Red Red Blue Black Black\nBlack Black Black Blue Black Black Black Blue Black Black\nBlack Black Black Blue Black Black Black Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Red Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Pink Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Black Black Black Blue Black Black\nBlack Black Black Blue Black Black Black Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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:\nGreen Black Black Black Black Black Black Black Green Black Black Black\nBlack Green Black Black Black Black Black Green Black Green Black Black\nBlack Black Green Black Black Black Green Black Black Black Green Black\nBlack Black Black Green Black Green Black Black Black Black Black Green\nBlack Black Black Black Green Black Black Black Black Black Green Black\nBlack Black Black Green Black Green Black Black Black Green Black Black\nGreen Black Green Black Black Black Green Black Green Black Black Black\nBlack Green Black Black Black Black Black Green Black Black Black Black\n\n\nExample 2\nInput:\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Black Black Black Black Black Green Black Black Black\nBlack Green Black Black Black Green Black Green Black Black\nBlack Black Green Black Green Black Black Black Green Black\nBlack Black Black Green Black Black Black Black Black Green\nBlack Black Green Black Green Black Black Black Green Black\nBlack Green Black Black Black Green Black Green Black Black\nGreen Black Black Black Black Black Green Black Black Black\n\n\nExample 3\nInput:\nGreen Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Black Black Black Black Black Black Black Green Black Black\nBlack Green Black Black Black Black Black Green Black Green Black\nBlack Black Green Black Black Black Green Black Black Black Green\nBlack Black Black Green Black Green Black Black Black Green Black\nGreen Black Black Black Green Black Black Black Green Black Black\nBlack Green Black Green Black Green Black Green Black Black Black\nBlack Black Green Black Black Black Green Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGreen Green Green 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\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\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\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\nGray 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 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\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\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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Pink Blue Black Black Black Black\nBlack Black Black Pink Black Pink Black Black Black Black Black Black Black Blue Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Green Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Pink Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black\nOrange Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black\nBrown Black Orange Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Green Orange Black Black Black Black Brown Black Pink Black Black Black\nBlack Black Black Black Pink Green Pink Black Black Black Orange Black Black Orange\nBlack Black Black Orange Orange Black Black Black Black Black Orange Red Black Pink\nRed Black Black Black Black Green Black Black Black Black Black Brown Black Black\nOrange Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nPurple Black Black Black Purple Black Black Black Black Black Black\nPink Black Black Red Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Purple\nGreen Black Black Black Black Black Black Red Black Black Black\nPink Black Purple Black Black Black Black Black Green Black Black\nBlack Black Black Pink Green Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Red Black Black Pink\nBlack Black Black Black Black Black Black Pink Black Black Pink\nBlack Black Red Black Black Black Black Black Black Black Green\nBlack Black Red Purple Black Black Purple Pink Black Black Black\nBlack Black Black Black Black Red Black Black Black Purple Black\nBlack Green Black Black Black Green Red Black Black Black Black\nBlack Black Red Black Green Red Purple Black Black Black Red\nPurple Black Green Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Red Green Black Red Black Black\nBlack Red Black Black Purple Pink Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black Black\nBlack Black Green Pink Black Black Black Black Black Green Pink\n\nOutput:\nPurple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Red Black Black Black Black Black Pink Blue Black\nBlack Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Purple Blue Black Black Black Pink Black\nBlack Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Red Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Blue Black Black\nBlack Pink Black Black Black Black Black Black Blue Black Black\nBlack Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Red Blue Pink\nBlack Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Pink Black Black Black Black Black Black Black\nBlack Red Pink Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black\nBlack Black Red Black Pink Black Black Black Black Pink Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Green Black Black Black Green Black Black\nBlack Black Black Green Black Black Green Black Black Green Black Black Black\nBlack Black Black Black Green Black Green Black Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Black Green Black Green Black Black Black Black\nBlack Black Black Green Black Black Green Black Black Green Black Black Black\nBlack Black Green Black Black Black Green Black Black Black Green Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Green Black Black Black Green Black Black Black Green Black\nBlack Black Black Green Black Black Green Black Black Green Black Black\nBlack Black Black Black Green Black Green Black Green Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Green Blue Blue Blue Blue Blue\nBlack Black Black Black Black Green Blue Green Black Black Black Black\nBlack Black Black Black Green Black Blue Black Green Black Black Black\nBlack Black Black Green Black Black Blue Black Black Green Black Black\nBlack Black Green Black Black Black Blue Black Black Black Green Black\nBlack Black Black Black Black Black Blue 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 Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Green Black Black Black Green Black Black Black Green Black\nBlack Black Black Green Black Black Green Black Black Green Black Black\nBlack Black Black Black Green Black Green Black Green Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Green Blue Blue Blue Blue Blue\nBlack Black Black Black Black Green Blue Green Black Black Black Black\nBlack Black Black Black Green Black Blue Black Green Black Black Black\nBlack Black Black Green Black Black Blue Black Black Green Black Black\nBlack Black Green Black Black Black Blue Black Black Black Green Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Black Black Yellow Black Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green\nBlack Black Black Black Black Black Yellow Green Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Green Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Green Black Black Yellow Black Black Black\nBlack Black Black Yellow Black Black Black Green Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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\nPink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Pink Black Purple Purple Purple Purple Black Black Black Black Black Black Black\nPink Black Black Black Pink Black Purple Black Purple Purple Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Black Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Green Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Pink Black Pink Pink\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Pink Pink Pink Pink\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\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Red Red Red Black Black Purple Black Purple\nBlack Black Black Black Black Black Black Red Red Red Black Black Purple Purple Purple\nBlack Brown Brown Brown Brown Brown Black Red Black Red Black Black Purple Purple Purple\nBlack Brown Brown Black Brown Brown Black Red Red Red Black Black Black Black Black\nBlack 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 Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black 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 Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Black Black Gray Black Gray Black Black Black Black\nBlack Black Gray Black Gray Black Black Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Pink Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Gray Pink Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Pink Pink Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Gray Gray Green Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black 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 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Red Red Red Red Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Green Green Green Green Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Pink 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Green Green Green Green Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Red Red Red Red Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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 Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Red Black Gray Purple Red Orange Black Black Black Pink Black\nBlack Black Black Black Black Red Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Yellow Pink Pink Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Red Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Yellow 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\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown\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 Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Orange Gray Gray Blue Blue Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Gray Yellow Blue Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Orange Gray Gray Blue Blue Brown Black Black Black Black Black Black\nBlack Black Black Yellow Black Red Black Black Black Black Green Red Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow 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\nRed Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Blue Blue Black Black Black Black Yellow Black Black\nBlack Blue Blue Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Blue Blue Black Black Black Black Black Yellow Black\nBlack Blue Blue Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black\nBlack Yellow Yellow Yellow Black Black Black Black Blue Blue Black\nBlack Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Yellow Yellow Yellow Black Black Black Blue Blue Black\nBlack Black Black Black Yellow Black 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\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 Blue Blue\nBlack Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow\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:\nYellow\n\nOutput:\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen\n\nOutput:\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\n\n\nExample 3\nInput:\nGray\n\nOutput:\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPurple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\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 Pink Brown Purple Gray Pink Black Black\nBlack Black Black Black Orange Brown Green Green Orange Black Black\nBlack Black Black Black Orange Brown Orange Gray Orange Black Black\nBlack Black Black Black Blue Pink Gray Purple Orange Black Black\nBlack Black Black Black Yellow Purple Red Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nPink Brown Purple Gray Pink Black Black Black Black Black Black\nOrange Brown Green Green Orange Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Red Green Pink Blue Black Black Black Black\nBlack Black Black Black Gray Red Orange Brown Blue Black Black Black Black\nBlack Black Black Black Purple Brown Gray Brown Brown Black Black Black Black\nBlack Black Black Black Purple Purple Brown Pink Orange Black Black Black Black\nBlack Black Black Black Blue Orange Brown Pink Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Red Green Pink Blue Black Black Black Black Black Black Black Black\nGray Red Orange Brown Blue Black Black Black Black Black Black Black Black\nPurple Brown Gray Brown Brown Black Black Black Black Black Black Black Black\nPurple Purple Brown Pink Orange Black Black Black Black Black Black Black Black\nBlue Orange Brown Pink Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Red Green Black Black Black Black Black Black Black\nBlack Black Black Black Blue Orange Purple Black Black Black Black Black Black Black\nBlack Black Black Black Pink Orange Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Red Green Black Black Black Black Black Black Black Black Black Black Black\nBlue Orange Purple Black Black Black Black Black Black Black Black Black Black Black\nPink Orange 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Green Pink Brown Black Black Black\nBlack Black Black Black Black Gray Brown Blue Pink Black Black Black\nBlack Black Black Black Black Gray Pink Gray Pink Black Black Black\nBlack Black Black Black Black Brown Brown Orange 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\n\n\nDirectly provide the output grids corresponding to the given test input 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 Green Pink Brown Black Black Black Black Black Black Black Black\nGray Brown Blue Pink Black Black Black Black Black Black Black Black\nGray Pink Gray Pink Black Black Black Black Black Black Black Black\nBrown Brown Orange 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Green 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 Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow\nGreen Black Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Green Red Red Red Red Black Black\nBlack Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Green Black Black\nBlue Blue Blue Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue\nGreen Black Black Black Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black 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\nHere is the input grid for the test example:\nInput:\nGreen Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue\nBlack Black Black Black Green Black Blue Blue\nBlack Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Green Blue Blue\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow 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 Yellow Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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 Yellow Yellow Blue Blue Orange Orange Black\nBlack Green Black Yellow Yellow Blue Blue Orange Black Black\nGreen Green Green Black Black Blue Blue Black Black Black\nBlack Green Pink Black Gray Gray Gray Pink Pink Pink\nBlack Pink Pink Pink Gray Gray Gray Pink Pink Pink\nRed Black Pink Red Black Black Pink Pink Black Black\nRed Red Red Red Black Black Black Green Green Black\nBlack Red Red Black Black Pink Pink Black Green Black\nRed Red Red Red Black Pink Pink Black Black Black\nRed Black Black Red Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue\nBlue Red Black Black Red Blue\nBlue Red Red Red Red Blue\nBlue Black Red Red Black Blue\nBlue Red Red Red Red Blue\nBlue Red Black Black Red Blue\nBlue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Red Red Red Yellow Black\nBlack Black Black Black Red Red Red Red Red Black\nBlack Blue Blue Blue Red Red Red Red Red Black\nBlack Blue Blue Blue Black Red Black Red Black Black\nBlack Black Gray Gray Gray Black Gray Gray Black Black\nBlack Black Gray Gray Gray Black Purple Gray Black Black\nGray Gray Black Black Black Black Gray Gray Black Black\nBlack Gray Gray Black Pink Green Pink Orange Black Orange\nBlack Black Black Black Pink Pink Pink Orange Orange Orange\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue\nBlue Black Red Red Red Black Blue\nBlue Red Red Red Red Red Blue\nBlue Red Red Red Red Red Blue\nBlue Black Red Black Red Black Blue\nBlue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Orange Black Black Black Black Black Orange Black\nBlack Black Orange Black Black Black Black Orange Orange Orange\nOrange Orange Orange Gray Gray Black Black Black Orange Black\nBlack Yellow Yellow Gray Orange Orange Orange Black Black Black\nBlack Yellow Yellow Gray Gray Orange Orange Black Brown Brown\nBlack Red Red Red Red Brown Brown Brown Brown Brown\nRed Red Red Red Red Brown Black Black Brown Brown\nRed Black Red Red Red Brown Black Black Blue Blue\nRed Black Black Red Red Gray Gray Gray Blue Blue\nRed Red Red Red Black Gray Gray Gray Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue\nBlue Black Red Red Red Red Blue\nBlue Red Red Red Red Red Blue\nBlue Red Black Red Red Red Blue\nBlue Red Black Black Red Red Blue\nBlue Red Red Red Red Black Blue\nBlue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Orange Orange Orange Purple Purple Purple Black Green\nBlack Black Orange Orange Orange Green Purple Green Black Yellow\nBlack Black Red Black Blue Blue Blue Black Yellow Yellow\nBlack Red Red Red Blue Blue Blue Gray Gray Black\nPurple Purple Red Black Black Black Black Gray Gray Black\nPurple Purple Black Black Black Black Black Gray Gray Black\nPurple Purple Pink Pink Black Blue Blue Blue Black Black\nBlack Black Pink Pink Black Blue Blue Blue Pink Pink\nBlack Black Black Orange Orange Orange Black Black Pink Black\nBlack Black Black Orange Orange Orange Black Black Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue\nBlue Black Red Black Blue\nBlue Red Red Red Blue\nBlue Black Red Black Blue\nBlue Blue Blue Blue Blue\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Black Black Black Gray Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Pink Pink Purple Gray Brown Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Blue Purple Purple Yellow Yellow Black Yellow Yellow Black Black Green Black Black Yellow\nYellow Gray Yellow Pink Blue Green Purple Brown Yellow Yellow Black Green Purple Yellow Black Yellow\nYellow Black Purple Blue Yellow Red Gray Black Yellow Yellow Gray Brown Purple Brown Orange Yellow\nYellow Black Pink Orange Red Brown Red Black Yellow Yellow Black Yellow Yellow Green Black Yellow\nYellow Black Black Black Brown Black Black Black Yellow Yellow Black Black Orange Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Black Black Black Pink Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Brown Purple Gray Pink Orange Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Brown Green Green Orange Orange Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Brown Orange Gray Orange Blue Pink Gray Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Purple Orange Yellow Purple Red Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Orange Orange Green Orange Blue Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Black Black Purple Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nGray Black Black Black Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Pink Pink Purple Gray Brown Black Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Blue Purple Purple Gray Gray Black Gray Gray Black Black Green Black Black Gray\nGray Gray Gray Pink Blue Green Purple Brown Gray Gray Black Green Purple Gray Black Gray\nGray Black Purple Blue Gray Red Gray Black Gray Gray Gray Brown Purple Brown Orange Gray\nGray Black Pink Orange Red Brown Red Black Gray Gray Black Gray Gray Green Black Gray\nGray Black Black Black Brown Black Black Black Gray Gray Black Black Orange Black Black Gray\nGray Gray Gray Gray Gray Black Black Black Pink Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Brown Purple Gray Pink Orange Black Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Brown Green Green Orange Orange Black Gray Gray Gray Gray\nGray Gray Gray Gray Gray Brown Orange Gray Orange Blue Pink Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Purple Orange Gray Purple Red Black Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Orange Orange Green Orange Blue Black Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Black Black Purple Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nGreen 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\nGreen 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\nGreen Green Green Green Green Black Black Black Yellow Black Black Black Green Green\nGreen Green Green Green Green Black Red Green Blue Orange Purple Black Green Green\nGreen Green Green Green Green Black Pink Orange Gray Pink Blue Black Green Green\nGreen Green Green Green Green Purple Yellow Orange Green Purple Blue Blue Green Green\nGreen Green Green Green Green Black Brown Green Orange Gray Red Black Green Green\nGreen Green Green Green Green Black Yellow Pink Purple Orange Gray Black Green Green\nGreen Green Green Green Green Black Black Black Pink Black Black Black Green Green\nBlack Black Purple Black Black Green Green Green Green Green Green Green Green Green\nBlack Brown Yellow Brown Black Green Green Green Green Green Green Green Green Green\nPink Blue Gray Green Gray Green Green Green Green Green Green Green Green Green\nBlack Blue Blue Purple Black Green Green Green Green Green Green Green Green Green\nBlack Black Orange Black Black Green Green Green Green Green Green Green Green Green\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Black Black Yellow Black Black Black Gray Gray\nGray Gray Gray Gray Gray Black Red Gray Blue Orange Purple Black Gray Gray\nGray Gray Gray Gray Gray Black Pink Orange Gray Pink Blue Black Gray Gray\nGray Gray Gray Gray Gray Purple Yellow Orange Gray Purple Blue Blue Gray Gray\nGray Gray Gray Gray Gray Black Brown Gray Orange Gray Red Black Gray Gray\nGray Gray Gray Gray Gray Black Yellow Pink Purple Orange Gray Black Gray Gray\nGray Gray Gray Gray Gray Black Black Black Pink Black Black Black Gray Gray\nBlack Black Purple Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Brown Yellow Brown Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Blue Blue Purple Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Orange Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Black Black Red Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Black Pink Pink Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Pink Orange Brown Green Pink Brown Black Black Black Gray Black Black Black Brown Brown Brown\nBrown Brown Brown Black Gray Blue Gray Black Brown Black Yellow Pink Purple Pink Brown Black Brown Brown Brown\nBrown Brown Brown Black Black Purple Black Black Brown Black Blue Yellow Green Blue Green Black Brown Brown Brown\nBrown Brown Black Black Black Blue Black Black Black Gray Green Brown Red Blue Orange Gray Brown Brown Brown\nBrown Brown Black Brown Orange Brown Pink Yellow Black Black Brown Yellow Red Red Yellow Black Brown Brown Brown\nBrown Brown Black Blue Orange Pink Brown Purple Black Black Green Green Green Pink Purple Black Brown Brown Brown\nBrown Brown Orange Gray Brown Green Purple Pink Purple Black Black Black Yellow Black Black Black Brown Brown Brown\nBrown Brown Black Green Brown Orange Red Red Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Black Orange Pink Red Red Orange Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Black Black Black Purple Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nGray 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\nGray 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\nGray 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\nGray Gray Gray Black Black Red Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Pink Pink Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Pink Orange Gray Green Pink Gray Black Black Black Gray Black Black Black Gray Gray Gray\nGray Gray Gray Black Gray Blue Gray Black Gray Black Yellow Pink Purple Pink Gray Black Gray Gray Gray\nGray Gray Gray Black Black Purple Black Black Gray Black Blue Yellow Green Blue Green Black Gray Gray Gray\nGray Gray Black Black Black Blue Black Black Black Gray Green Gray Red Blue Orange Gray Gray Gray Gray\nGray Gray Black Gray Orange Gray Pink Yellow Black Black Gray Yellow Red Red Yellow Black Gray Gray Gray\nGray Gray Black Blue Orange Pink Gray Purple Black Black Green Green Green Pink Purple Black Gray Gray Gray\nGray Gray Orange Gray Gray Green Purple Pink Purple Black Black Black Yellow Black Black Black Gray Gray Gray\nGray Gray Black Green Gray Orange Red Red Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Orange Pink Red Red Orange Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Black Black Purple Black Black Black 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Black Pink Black Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Purple Yellow Pink Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Purple Yellow Pink Yellow Red Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Brown Brown Brown Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Black Red Black Black Pink Pink Pink Pink Pink\nBlack Black Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Red Pink Gray Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Purple Orange Orange Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Purple Brown Yellow Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Green Black Black 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"
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"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Black Gray Black Black Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Purple Yellow Gray Black Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Purple Yellow Gray Yellow Red Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Brown Brown Brown Black Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Black Red Black Black Gray Gray Gray Gray Gray\nBlack Black Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Red Gray Gray Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Purple Orange Orange Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Purple Brown Yellow Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Green Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow 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 Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Pink 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 Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Pink 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 Black\nBlack Black Black Pink 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 Black\nBlack Black Black Pink 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 Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Pink Black Black Black 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 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 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 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\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Black Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Yellow Yellow Black\n\nOutput:\nPurple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Yellow Black Yellow Black\nYellow Black Yellow Black Yellow Black\nYellow Black Yellow Black Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple\nPurple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple\nPurple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Yellow Black Yellow\nBlack Yellow Black Yellow Black Yellow\nBlack Yellow Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black\nBlack Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black\nBlack Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black Purple Black\nPurple 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:\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple 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\nPurple 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\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Gray Blue Gray Blue Blue Gray Blue Gray Blue Blue Gray\nOrange Orange Pink Pink Pink Orange Orange Pink Pink Pink Orange Orange Pink\nGray Gray Black Blue Blue Gray Gray Blue Blue Blue Gray Gray Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Gray Blue Gray Blue Blue Gray Blue Gray Blue Blue Gray\nOrange Orange Pink Pink Pink Orange Orange Pink Pink Pink Black Orange Pink\nGray Gray Blue Blue Blue Gray Gray Blue Blue Blue Gray Gray Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Gray Blue Gray Blue Blue Gray Blue Gray Blue Blue Gray\nOrange Orange Pink Pink Pink Orange Orange Black Pink Pink Orange Orange Pink\nGray Gray Blue Blue Blue Gray Gray Blue Blue Blue Gray Gray Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Gray Blue Gray Blue Blue Gray Blue Gray Blue Blue Gray\n\nOutput:\nBlue Blue Gray Blue Gray Blue Blue Gray Blue Gray Blue Blue Gray\nOrange Orange Pink Pink Pink Orange Orange Pink Pink Pink Orange Orange Pink\nGray Gray Blue Blue Blue Gray Gray Blue Blue Blue Gray Gray Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Gray Blue Gray Blue Blue Gray Blue Gray Blue Blue Gray\nOrange Orange Pink Pink Pink Orange Orange Pink Pink Pink Orange Orange Pink\nGray Gray Blue Blue Blue Gray Gray Blue Blue Blue Gray Gray Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Gray Blue Gray Blue Blue Gray Blue Gray Blue Blue Gray\nOrange Orange Pink Pink Pink Orange Orange Pink Pink Pink Orange Orange Pink\nGray Gray Blue Blue Blue Gray Gray Blue Blue Blue Gray Gray Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Gray Blue Gray Blue Blue Gray Blue Gray Blue Blue Gray\n\n\nExample 2\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Purple Brown Black Brown Brown Purple Brown Brown\nBrown Brown Brown Brown Gray Brown Brown Brown Brown Gray Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Purple Brown Brown Brown Brown Purple Brown Brown\nBrown Brown Brown Brown Gray Brown Brown Brown Brown Gray Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Purple Brown Brown Brown Brown Purple Brown Brown\nBrown Brown Brown Brown Gray Brown Brown Brown Brown Gray Brown Brown\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Brown Brown Brown Purple Brown Brown Brown Brown Purple Brown Brown\nBrown Brown Brown Brown Gray Brown Brown Brown Brown Gray Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Purple Brown Brown Brown Brown Purple Brown Brown\nBrown Brown Brown Brown Gray Brown Brown Brown Brown Gray Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Purple Brown Brown Brown Brown Purple Brown Brown\nBrown Brown Brown Brown Gray Brown Brown Brown Brown Gray Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Purple Brown Brown Brown Brown Purple Brown Brown\nBrown Brown Brown Brown Gray Brown Brown Brown Brown Gray Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Purple Brown Brown Brown Brown Purple Brown Brown\nBrown Brown Brown Brown Gray Brown Brown Brown Brown Gray Brown Brown\n\n\nExample 3\nInput:\nGray Purple Gray Green Green Gray Purple Gray Green Green Gray Purple Gray Green\nBrown Orange Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange\nBrown Purple Gray Orange Brown Brown Purple Gray Orange Brown Brown Purple Gray Orange\nGray Purple Gray Green Green Gray Purple Gray Green Green Gray Purple Gray Green\nBrown Orange Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange\nBrown Purple Gray Orange Brown Brown Black Black Orange Brown Brown Purple Gray Orange\nGray Purple Gray Green Green Gray Purple Gray Green Green Gray Purple Gray Green\nBrown Orange Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange\nBrown Purple Gray Orange Brown Brown Purple Gray Orange Brown Brown Purple Gray Orange\nGray Purple Gray Green Green Gray Purple Gray Green Green Gray Purple Gray Green\nBrown Orange Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange\nBrown Purple Gray Orange Brown Brown Purple Gray Orange Brown Brown Purple Gray Orange\n\nOutput:\nGray Purple Gray Green Green Gray Purple Gray Green Green Gray Purple Gray Green\nBrown Orange Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange\nBrown Purple Gray Orange Brown Brown Purple Gray Orange Brown Brown Purple Gray Orange\nGray Purple Gray Green Green Gray Purple Gray Green Green Gray Purple Gray Green\nBrown Orange Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange\nBrown Purple Gray Orange Brown Brown Purple Gray Orange Brown Brown Purple Gray Orange\nGray Purple Gray Green Green Gray Purple Gray Green Green Gray Purple Gray Green\nBrown Orange Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange\nBrown Purple Gray Orange Brown Brown Purple Gray Orange Brown Brown Purple Gray Orange\nGray Purple Gray Green Green Gray Purple Gray Green Green Gray Purple Gray Green\nBrown Orange Orange Orange Purple Brown Orange Orange Orange Purple Brown Orange Orange Orange\nBrown Purple Gray Orange Brown Brown Purple Gray Orange Brown Brown Purple Gray Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\nBlue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow\nBlue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Brown Blue Black Blue Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Black Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\nBlue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow\nBlack Brown Blue Blue Black Black Blue Blue Blue Brown Blue Blue Blue Brown\nBlack Blue Brown Blue Black Black Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\nBlue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow\nBlue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\nBlue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow\nBlue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\nBlue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow\nBlue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\nBlue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow\nBlue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Blue Black Gray Black Black Black Black Black Black Black\nBlack Black Black Purple Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Purple Orange Red Red Black Black Black Black Black\nBlack Black Black Red Black Gray Blue Black Black Black Black Black Black Black\nBlack Black Black Orange Blue Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Purple Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Purple Black Black Black Black Black\nBlack Black Black Black Blue Blue Gray Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Green Blue Yellow Black Black Black Black Black\nBlack Black Black Black Blue Gray Pink Brown Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Blue Black Black Black Black Black Black Black Black Black Black\nGray Black Black Blue Black Black Black Black Black Black Black Black Black Black\nPink Green Black Gray Black Black Black Blue Purple Black Black Black Black Black\nBrown Blue Blue Purple Blue Blue Gray Purple Purple Black Black Black Black Black\nRed Yellow Yellow Purple Purple Black Black Blue Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Green Blue Yellow Black Black Black Black Black\nBlack Black Black Black Blue Gray Pink Brown Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Green Yellow Black Black Black Black\nBlack Black Black Black Black Purple Orange Orange Green Yellow Yellow Black Black Black\nBlack Black Black Black Black Red Green Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Red Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Green Black Black Black Black Black Black Black\nBlack Black Black Black Gray Purple Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black 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 Purple Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Blue Red Red Purple Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Orange Red Black\nBlack Black Black Black Black Black Red Red Green Yellow Black Orange Red Black\nBlack Black Black Black Black Purple Orange Orange Green Yellow Yellow Green Green Black\nBlack Black Black Black Black Red Green Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Red Green Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Blue Green Black Black Black Black Black Black Black\nBlack Black Black Black Gray Purple Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Blue Black Black Black Black Black Black Black\nBlack Red Brown Black Black Black Black Black Black Black\nBlack Red Brown Black Black Black Black Black Black Black\nBlack Red Brown Black Black Black Gray Black Black Black\nBlack Orange Purple Brown Yellow Green Purple Black Black Black\nBlack Green Gray Purple Yellow Yellow Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Orange Red Red Red Red\nBlack Black Black Black Gray Purple Brown Brown Brown Blue\nBlack Red Blue Black Purple Brown Black Black Black Black\nBlack Red Brown Black Yellow Yellow Black Black Black Black\nBlack Red Brown Black Yellow Green Black Black Black Black\nBlack Red Brown Black Blue Purple Gray Black Black Black\nBlack Orange Purple Brown Yellow Green Purple Black Black Black\nBlack Green Gray Purple Yellow Yellow Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Orange Yellow Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Orange Yellow Orange Yellow Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nRed Red Red Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Yellow Green Yellow Blue Blue Blue Green Green\nGreen Green Green Green Green Green Green Green Green Yellow Green Blue Blue Green Blue Green\nGreen Green Green Green Green Green Green Green Yellow Green Yellow Blue Green Blue Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Blue Blue Blue Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Blue Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Blue Green Blue Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Blue Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Blue Green Blue Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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 Gray Purple Gray Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Purple Yellow Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Orange Orange Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange 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 Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Black Black Black Black\nOrange Orange Orange Purple Orange Purple Orange Black Black Black Orange Orange Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Orange Black Black Purple Black Orange Purple Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Brown Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black Brown Brown Brown Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Brown Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Purple Brown Purple Brown Black Black Black Black Brown Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Purple Black Brown Brown Brown Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Brown Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Green Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Green Black Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Purple Green Purple Black Black Black Black Green Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Purple Green Green Green Black Black Black Black Black\nBlack Black Green Black Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink 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 Black Black Black Black Black Black Pink 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 Pink Pink Pink Pink Pink 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 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```\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Pink Pink Pink Purple Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple 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 Pink Pink Pink Pink Pink 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 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\nBlack Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Pink Pink Black\nPink Pink Orange Black Black Black Pink Pink Black\nBlack Orange Purple Purple Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nOrange\n\n\nExample 2\nInput:\nBlack Black Black Yellow Yellow Black Black\nBlack Black Black Yellow Gray Gray Black\nRed Red Black Black Gray Gray Black\nRed Red Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nOrange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black\nBlack Black Black Brown Brown 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:\nBlue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Pink Black Black Black\nBlack Pink Pink Black Black Black\nBlack Gray Gray Black Black Black\nBlack Gray Gray Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue 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 Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow 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 Blue Black Black\nBlack Blue Black Black Black Black Blue Blue Blue Black\nBlue Blue Blue Black Black Black Blue Blue Black Black\nBlack Blue Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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 Yellow Black\nBlack Yellow Black Black Black Black Blue Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black\nBlack Yellow Black Black Black Blue Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow 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 Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black 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 Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack 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 Pink Brown Black Pink Purple Brown Black\nBlack Pink Brown Black Pink Purple Brown Black\nBlack Pink Brown Black Pink Black Brown Black\nBlack Black Green 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\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 Purple Black Black\nBlack Pink Black Black Pink Purple Brown Black\nBlack Pink Green Black Pink Purple Brown Black\nBlack Pink Green Black Pink Purple Brown Black\nBlack Pink Green Black Pink Purple Brown Black\nBlack Pink Green Black Pink Purple Brown Black\nBlack Pink Green Black Pink Purple Brown Black\nBlack Pink Green Black Pink Purple Brown Black\nBlack Pink Green Black Pink Purple Brown Black\nBlack Pink Green Black Pink Purple Brown Black\nBlack Pink Green Black Pink Purple Brown Black\nBlack Pink Green Black Pink Purple Brown Black\nBlack Pink Green Black Pink Purple Brown Black\nBlack Pink Green Black Pink Purple Brown Black\nBlack Pink Green Black Pink Purple Brown Black\n\n\nExample 2\nInput:\nBlack Blue Blue Red Orange Black Black\nBlack Black Blue Black Orange Black Black\nBlack Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Blue Black Red Black Black Black\nBlack Blue Blue Red Black Black Black\nBlack Blue Blue Red Gray Black Black\nBlack Blue Blue Red Gray Black Black\nBlack Blue Blue Red Gray Black Black\nBlack Blue Blue Red Gray Black Black\nBlack Blue Blue Red Gray Black Black\nBlack Blue Blue Red Gray Black Black\nBlack Blue Blue Red Gray Black Black\nBlack Blue Blue Red Gray Black Black\nBlack Blue Blue Red Gray Black Black\nBlack Blue Blue Red Gray Black Black\nBlack Blue Blue Red Gray Black Black\nBlack Blue Blue Red Gray Black Black\n\n\nExample 3\nInput:\nYellow Black Red Black Blue Green Black\nYellow Black Red Black Blue Green Black\nYellow Black Black Black Black Orange Black\nYellow Black Black Black Black Orange Black\nPurple Black Black Black Black Orange Black\nPurple Black Black Black Black Orange Black\nPurple Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Red Black Blue Black Black\nBlack Black Red Black Blue Black Black\nBlack Black Red Black Blue Black Black\nBlack Black Red Black Blue Black Black\nBlack Black Red Black Blue Black Black\nPurple Black Red Black Blue Black Black\nPurple Black Red Black Blue Black Black\nPurple Black Red Black Blue Black Black\nPurple Black Red Black Blue Yellow Black\nPurple Black Red Black Blue Yellow Black\nPurple Black Red Black Blue Yellow Black\nPurple Black Red Black Blue Yellow Black\nPurple Black Red Black Blue Yellow Black\nPurple Black Red Black Blue Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Pink Pink Black Yellow Brown\nGray Black Black Black Pink Pink Black Black Orange\nBlack Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black\nGray Black Black Black Black Black Black Yellow Orange\nGray Black Black Black Pink Pink Black Yellow Orange\nGray Black Black Black Pink Pink Black Yellow Orange\nGray Black Black Black Pink Pink Black Yellow Orange\nGray Black Black Black Pink Pink Black Yellow Orange\nGray Black Black Black Pink Pink Black Yellow Orange\nGray Black Black Black Pink Pink Black Yellow Orange\nGray Black Black Black Pink Pink Black Yellow Orange\nGray Black Black Black Pink Pink Black Yellow Orange\nGray Black Black Black Pink Pink Black Yellow Orange\nGray Black Black Black Pink Pink Black Yellow Orange\nGray Black Black Black Pink Pink Black Yellow Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Pink Black 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\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Pink Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Pink Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Purple Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Black Green Green Green Black Black Black\nBlack Black Purple Purple Purple Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Green Green Green Black Black Black\nBlack Black Purple Purple Black Green Green Green Black Black Black\nBlack Black Purple Purple Purple Green Green Green Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 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 Orange Black Orange Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Blue Blue Orange Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Orange Black Black Black Black Orange Black Black Black\nBlack Black Black Orange Black Black Black Black Orange Black Black Black\nBlack Black Black Black Orange Blue Blue Orange Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black 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 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 Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Black Blue Black Blue Black Blue\nBlack Black Black Black Black Black Black Blue Black Orange Orange Orange Black Blue\nBlack 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Brown Red Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Red Red Red Black Blue Gray Gray Black\nBlack Black Red Red Red Black Black Brown Brown Black\nBlack Black Brown Brown Brown Black Green Brown Black Black\nBlack Black Brown Brown Brown Black Black Brown Green Black\nBlack Black Brown Brown Brown 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 Red Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Gray Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Brown Black\nBlack Black Black Brown Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Purple Red Red Red Black Black Black Black\nPurple Black Black Red Red Red Black Black Black Black\nPurple Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray 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\nRed Black Black Black Purple Purple Purple Black Black Black\nRed Black Black Black Purple Green Green Black Black Black\nBlack Black Black Black Purple Purple Purple Green Black Black\nBlack Black Black Black Black Green Green Red Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Purple Green Black Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green 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 Red Black Black Black Black\nBlack Black Black Black Black Blue Black Green Green Black\nBlack Black Orange Brown Yellow Yellow Yellow Green Green Black\nYellow Yellow Yellow Brown Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Red Black\nBlack Yellow Yellow Yellow Black Blue Blue Black Red Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Orange Black Black Black Black Black Green Black\nBlack Black Black Brown Black Yellow 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 Black Black Black Black Blue Black Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Orange Black Black Black Blue Black Black\nBlack Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Purple Orange\nBlack Black Green Black Black Purple Black Black\nBlack Black Black Black Black Orange Black Black\nGray Black Brown Black Black Black Brown Black\nBlack Black Black Black Orange Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Blue\nBlack Black Black Black Black Black Pink Black\nPurple Orange Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Purple\nBlack Black Black Black Black Black Black Orange\nBrown Black Gray Black Brown Black Black Black\nBlack Black Black Black Black Black Orange Black\n\n\nExample 2\nInput:\nBlack Blue Black Black Gray Black Black\nBlack Black Black Black Orange Black Black\nBrown Black Black Black Black Black Black\nRed Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black\nOrange Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Blue Black Black Gray\nBlack Black Black Black Black Black Orange\nBlack Black Brown Black Black Black Black\nBlack Black Red Black Black Purple Black\nBlack Black Black Black Black Black Black\nBlack Black Orange Black Blue Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBrown Black Orange Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Pink Black Red Black Black Black Orange Black\nBlack Black Purple Black Black Black Black Brown Black\nBlack Black Black Black Pink Black Black Orange Black\nBlack Black Gray Black Black Black Black Black Black\n\nOutput:\nBlack Black Brown Black Orange Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nOrange Black Black Pink Black Red Black Black Black\nBrown Black Black Black Purple Black Black Black Black\nOrange Black Black Black Black Black Pink Black Black\nBlack Black Black Black Gray 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 Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Brown\nGray Brown Black Black Black Pink Black Black Black\nOrange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Blue Black\nBlack Black Gray Brown Black Black Black Pink Black\nBlack Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow Orange Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack 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 Yellow Yellow Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Red Red Red 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\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 Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Red\nBlack Black Black Yellow Yellow Yellow Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack 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 Yellow Yellow Black Black Black Yellow Black Black\nBlack 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 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Red Red Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Red Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Red Black Black\nBlack 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\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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Orange Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nYellow Yellow Black Yellow Yellow Black Black Black Black Black\nYellow Yellow Black Yellow Yellow Orange Black Black Orange Black\n\nOutput:\nBlue Orange Blue Orange Blue\nOrange Blue Orange Blue Orange\nBlue Orange Blue Orange Blue\nOrange Blue Orange Blue Orange\nBlue Orange Blue Orange Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange\nOrange Black Yellow Yellow Black Black Black Black Black Orange\nBlack Black Yellow Yellow Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Orange Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow\n\nOutput:\nBlue Orange Blue Orange Blue\nOrange Blue Orange Blue Orange\nBlue Orange Blue Orange Blue\nOrange Blue Orange Blue Orange\nBlue Orange Blue Orange Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Yellow Yellow Black Black\nOrange Yellow Yellow Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Orange\nBlack Black Yellow Yellow Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Orange Blue Orange Blue\nOrange Blue Orange Blue Orange\nBlue Orange Blue Orange Blue\nOrange Blue Orange Blue Orange\nBlue Orange Blue Orange Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Orange Black Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Yellow Yellow Black\nYellow Yellow Black Black Black Black Orange Yellow Yellow Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Orange Blue Orange Blue\nOrange Blue Orange Blue Orange\nBlue Orange Blue Orange Blue\nOrange Blue Orange Blue Orange\nBlue Orange Blue Orange Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nBlack 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\nBlack Black Black Black Black Black Black Pink Pink Black Pink Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Pink Black Black\nBlack Black Black Pink Pink Pink Black Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Black Pink Black Pink Pink Black Black\nBlack Black Pink Pink Pink Pink 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 Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown 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 Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Red Black Black\nBlack Black Black Black Red Red Black Black Red Red Red Black Black\nBlack Black Black Red Red Red Black Red Red Red Black Black Black\nBlack Black Red Red Red Red Black Red Black Red Red Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Black Orange Orange Black Black Black Black Black Black Black\nRed Red Red Orange Orange Black Black Black Black Black Black Black\nRed Black Red Orange Orange Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black 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\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\nRed Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Black Red Red Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black\nRed Black Red Red Red Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red 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\nBlack Red Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack 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 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 Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Gray Gray Black\nBrown Black Black Black Black Black Black Black Black Pink Pink Pink Gray Gray\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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Red Red Black\nBlue Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow\nGray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray\nBlack Green Orange Orange Green Green Orange Orange Green Green Black Orange Green Green Orange Orange Green\nYellow Pink Brown Purple Yellow Pink Black Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow\nGray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray\nGreen Green Orange Orange Green Green Black Orange Green Green Orange Orange Green Green Orange Orange Green\nYellow Pink Brown Purple Black Pink Brown Purple Yellow Pink Brown Purple Black Pink Black Purple Yellow\nGray Pink Black Brown Black Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray\nGreen Green Orange Orange Green Green Orange Black Green Green Orange Black Green Green Orange Orange Green\nYellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Black\nGray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray Black Orange Brown Gray\nGreen Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green\nYellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow\n\nOutput:\nYellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow\nGray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray\nGreen Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green\nYellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow\nGray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray\nGreen Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green\nYellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow\nGray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray\nGreen Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green\nYellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow\nGray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray\nGreen Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green\nYellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow\n\n\nExample 2\nInput:\nYellow Blue Red Yellow Blue Red Black Blue Red Yellow Blue Red Yellow Blue Red\nGreen Pink Blue Green Pink Blue Green Pink Blue Green Pink Blue Green Pink Blue\nGray Red Orange Gray Red Orange Gray Red Orange Black Red Orange Gray Red Orange\nYellow Blue Red Yellow Blue Red Yellow Blue Red Yellow Blue Red Yellow Blue Black\nGreen Pink Blue Green Pink Blue Green Pink Blue Green Pink Blue Green Pink Blue\nGray Red Orange Gray Red Orange Black Red Orange Gray Red Orange Gray Red Orange\nYellow Blue Red Yellow Blue Red Yellow Blue Red Yellow Blue Red Yellow Blue Red\nGreen Pink Blue Green Pink Blue Green Pink Black Green Pink Blue Black Pink Blue\nGray Red Orange Gray Black Black Gray Red Orange Gray Black Black Gray Black Orange\nBlack Blue Red Yellow Blue Red Yellow Blue Red Yellow Blue Red Yellow Blue Red\nGreen Pink Black Green Pink Blue Green Pink Blue Green Pink Blue Green Pink Blue\nGray Red Orange Gray Red Orange Gray Black Orange Gray Red Orange Gray Red Orange\n\nOutput:\nYellow Blue Red Yellow Blue Red Yellow Blue Red Yellow Blue Red Yellow Blue Red\nGreen Pink Blue Green Pink Blue Green Pink Blue Green Pink Blue Green Pink Blue\nGray Red Orange Gray Red Orange Gray Red Orange Gray Red Orange Gray Red Orange\nYellow Blue Red Yellow Blue Red Yellow Blue Red Yellow Blue Red Yellow Blue Red\nGreen Pink Blue Green Pink Blue Green Pink Blue Green Pink Blue Green Pink Blue\nGray Red Orange Gray Red Orange Gray Red Orange Gray Red Orange Gray Red Orange\nYellow Blue Red Yellow Blue Red Yellow Blue Red Yellow Blue Red Yellow Blue Red\nGreen Pink Blue Green Pink Blue Green Pink Blue Green Pink Blue Green Pink Blue\nGray Red Orange Gray Red Orange Gray Red Orange Gray Red Orange Gray Red Orange\nYellow Blue Red Yellow Blue Red Yellow Blue Red Yellow Blue Red Yellow Blue Red\nGreen Pink Blue Green Pink Blue Green Pink Blue Green Pink Blue Green Pink Blue\nGray Red Orange Gray Red Orange Gray Red Orange Gray Red Orange Gray Red Orange\n\n\nExample 3\nInput:\nBlack Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow\nGreen Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green\nPurple Pink Orange Purple Pink Orange Purple Pink Orange Purple Pink Orange Black Pink Orange Purple\nYellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow\nGreen Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green\nPurple Pink Orange Purple Pink Orange Purple Pink Orange Black Pink Orange Purple Pink Orange Purple\nYellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Black Black Yellow Yellow Red Yellow\nGreen Blue Orange Black Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green\nPurple Pink Black Purple Pink Orange Purple Pink Orange Purple Pink Orange Purple Pink Orange Purple\nBlack Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow\nGreen Blue Orange Green Blue Orange Green Black Orange Green Blue Orange Green Blue Orange Green\nPurple Pink Orange Purple Pink Orange Purple Pink Orange Purple Pink Orange Purple Pink Orange Purple\n\nOutput:\nYellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow\nGreen Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green\nPurple Pink Orange Purple Pink Orange Purple Pink Orange Purple Pink Orange Purple Pink Orange Purple\nYellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow\nGreen Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green\nPurple Pink Orange Purple Pink Orange Purple Pink Orange Purple Pink Orange Purple Pink Orange Purple\nYellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow\nGreen Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green\nPurple Pink Orange Purple Pink Orange Purple Pink Orange Purple Pink Orange Purple Pink Orange Purple\nYellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow\nGreen Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green\nPurple Pink Orange Purple Pink Orange Purple Pink Orange Purple Pink Orange Purple Pink Orange Purple\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Pink Brown Gray Green Pink Brown Gray Green Pink Brown Gray Green\nGray Brown Blue Pink Gray Brown Blue Pink Gray Brown Blue Pink Gray Brown\nGray Pink Gray Pink Gray Pink Gray Pink Gray Pink Gray Pink Gray Pink\nBlack Brown Orange Pink Brown Brown Orange Pink Brown Brown Orange Pink Brown Brown\nGray Green Pink Brown Gray Green Pink Brown Gray Green Pink Brown Gray Green\nGray Brown Blue Pink Gray Brown Blue Black Gray Black Blue Pink Gray Brown\nGray Pink Gray Pink Gray Pink Black Pink Gray Pink Gray Pink Gray Pink\nBrown Brown Orange Pink Brown Brown Orange Pink Brown Brown Orange Pink Brown Brown\nGray Green Pink Brown Gray Green Pink Brown Gray Green Black Brown Gray Green\nGray Brown Blue Pink Gray Brown Blue Pink Black Brown Blue Pink Gray Brown\nGray Pink Gray Pink Gray Pink Gray Pink Gray Pink Gray Pink Gray Pink\nBrown Brown Orange Pink Black Brown Orange Pink Brown Brown Orange Pink Brown Brown\nGray Green Pink Brown Gray Green Pink Brown Gray Green Pink Brown Gray Black\nGray Brown Blue Pink Gray Brown Blue Pink Gray Brown Blue Pink Gray Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Green Pink Brown Gray Green Pink Brown Gray Green Pink Brown Gray Green\nGray Brown Blue Pink Gray Brown Blue Pink Gray Brown Blue Pink Gray Brown\nGray Pink Gray Pink Gray Pink Gray Pink Gray Pink Gray Pink Gray Pink\nBrown Brown Orange Pink Brown Brown Orange Pink Brown Brown Orange Pink Brown Brown\nGray Green Pink Brown Gray Green Pink Brown Gray Green Pink Brown Gray Green\nGray Brown Blue Pink Gray Brown Blue Pink Gray Brown Blue Pink Gray Brown\nGray Pink Gray Pink Gray Pink Gray Pink Gray Pink Gray Pink Gray Pink\nBrown Brown Orange Pink Brown Brown Orange Pink Brown Brown Orange Pink Brown Brown\nGray Green Pink Brown Gray Green Pink Brown Gray Green Pink Brown Gray Green\nGray Brown Blue Pink Gray Brown Blue Pink Gray Brown Blue Pink Gray Brown\nGray Pink Gray Pink Gray Pink Gray Pink Gray Pink Gray Pink Gray Pink\nBrown Brown Orange Pink Brown Brown Orange Pink Brown Brown Orange Pink Brown Brown\nGray Green Pink Brown Gray Green Pink Brown Gray Green Pink Brown Gray Green\nGray Brown Blue Pink Gray Brown Blue Pink Gray Brown Blue Pink Gray Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Blue Blue Blue Black Black\nBlack Orange Orange Orange Black Blue Blue Blue Black Black\nBlack Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Brown Black Black Gray Gray\nBlack Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Orange Black Orange Black\nBlack Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Green Green Black Red Red Red Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nPurple Purple Purple Black Black Yellow Yellow Yellow Black Black\nPurple Purple Purple Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Yellow Yellow Yellow\nBlack Black Black Green Black Green Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Orange Orange Orange\nBlack Brown Black Black Gray Black Black Black Orange Orange\nBlack Black Black Black Gray Gray Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Blue\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 Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Purple\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black\nBlack Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple Black\nBlack Black Purple Purple Purple Purple Black\nBlack Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Green Green Green Black Black\nBlack Green Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBlack Green Green Black Green Green Black\nBlack Green Green Black Green Green Black\nBlack Black Black Black Black Black Pink\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Black Pink Pink Black\nBlack Pink Pink Black Pink Pink Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Green Green Green Green Black\nBlack Green Green Green Green Green Black\nBlack Green Black Green Green Green Black\nBlack Green Black Black Green Green Black\nBlack Green Green Green Green Black Black\nBlack Black Black Black Black Black Orange\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Orange Black Orange Orange Orange Black\nBlack Orange Black Black Orange Orange Black\nBlack Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black Black\nBlack Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen 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\nOrange Orange Orange Green Green Green Green Green Green Green Green Green Green Green\nOrange Orange Orange Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Orange Orange Orange Green Green Green Green Green Green\nGreen Green Green Green Green Orange Orange Orange Orange Green Green Green Green Green\nGreen Green Green Green Green Green Orange Orange Orange Orange Green Green Green Green\nGreen Green Green Green Green Green Green Orange Orange Orange Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Orange Orange Orange Green Green\nGreen Green Green Green Green Green Green Green Green Orange Orange Orange Green Green\nGreen 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\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nOrange 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\nOrange Orange Orange Green Green Green Green Green Green Green Green Green Green Green\nOrange Orange Orange Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Orange Orange Orange Green Green Green Green Green Green\nGreen Green Green Green Green Orange Orange Orange Orange Green Green Green Green Green\nGreen Green Green Green Green Green Orange Orange Orange Orange Green Green Green Green\nGreen Green Green Green Green Green Green Orange Orange Orange Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Orange Orange Orange Green Green\nGreen Green Green Green Green Green Green Green Green Orange Orange Orange Green Green\nGreen 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\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nPink 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Pink Pink Pink Pink\nPink Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Pink Pink Pink Pink\nPink Blue Blue 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\nPink 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\nPink Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Pink\nPink Blue Blue Pink Pink Pink Pink Pink Blue Blue Pink Pink Blue Blue Pink\nPink Pink Pink Pink Pink Pink Pink Pink Blue Blue Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Pink Pink Pink Pink\nPink Blue Blue Pink Pink Pink Pink Pink Pink Blue Blue Pink Blue Blue Pink\nPink Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Pink\nPink 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Pink\nPink Blue Blue Pink Pink Pink Pink Pink Blue Blue Pink Pink Blue Blue Pink\nPink Pink Pink Pink Pink Pink Pink Pink Blue Blue Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Yellow Yellow Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Yellow Yellow Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange\nOrange Orange Purple Purple Purple Orange Purple Purple Purple Orange Orange\nOrange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange\nOrange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange\nOrange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange\nOrange Orange Purple Purple Purple Orange Purple Purple Purple Orange Orange\nOrange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange\nOrange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange\nOrange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange\nOrange Orange Purple Purple Purple Orange Purple Purple Purple Orange Orange\nOrange Orange Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Orange Orange\nOrange Orange Orange Orange Orange Purple Purple Purple Orange Orange Orange\nOrange Orange Orange Orange Orange Purple Purple Purple 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Black Black Black Black Black\nBlack Green Green Green Green 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 Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red 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 Green Green Green Green Black\nGreen Green Green Green Green Green Green Green Green Black\nGreen Green Green Green Green Green Green Green Green Black\nGreen Green Green Green Green Green Green Green Green Black\nGreen Green Green Green Green Black Black Black Black Black\nGreen Green Green Green Green 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 Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\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 Black Black Black\nBlack Green Green Green Green Green Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\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\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 Black Black Black\nBlack Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black\nBlack Black Black Black Black Blue Brown Black\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Pink Black Orange Black Black\nBlack Black Black Black Purple Black Pink Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Brown Pink Orange Blue Purple Black\nBlack Black Brown Pink Orange Blue Purple Black\nBlack Black Brown Pink Orange Blue Purple Black\nBlack Black Brown Pink Orange Blue Purple Black\nBlack Black Brown Pink Orange Blue Purple Black\nBlack Black Brown Pink Orange Blue Purple Black\nBlack Black Brown Pink Orange Blue Purple Black\nBlack Black Brown Pink Orange Blue Purple Black\nBlack Black Brown Pink Orange Blue Purple Black\nBlack Black Brown Pink Orange Blue Purple Black\nBlack Black Brown Pink Orange Blue Brown Black\nBlack Black Pink Pink Purple Orange Pink Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Brown Black\nYellow Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black\nBlack Green Black Black Black Black Yellow\nBlack Black Black Black Black Black Black\nPurple Black Black Black Black Black Black\nOrange Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGray Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nYellow Green Black Black Purple Brown Yellow\nYellow Green Black Black Purple Brown Yellow\nYellow Green Black Black Purple Brown Yellow\nYellow Green Black Black Purple Brown Yellow\nYellow Green Black Black Purple Brown Yellow\nYellow Green Black Black Purple Brown Yellow\nYellow Green Black Black Purple Brown Yellow\nPurple Green Black Black Purple Brown Yellow\nOrange Green Black Black Purple Brown Yellow\nGray Gray Black Black Purple Brown Yellow\n\n\nExample 3\nInput:\nPurple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow\nBlack Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGreen Black Brown Black Black Purple Black\nBlack Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black\n\nOutput:\nPurple Black Brown Brown Black Purple Yellow\nPurple Black Brown Brown Black Purple Yellow\nPurple Black Brown Brown Black Purple Yellow\nPurple Black Brown Brown Black Purple Yellow\nPurple Black Brown Brown Black Purple Yellow\nPurple Black Brown Brown Black Purple Yellow\nPurple Black Brown Brown Black Purple Yellow\nPurple Black Brown Brown Black Purple Yellow\nPurple Black Brown Brown Black Purple Yellow\nPurple Black Brown Brown Black Blue Yellow\nGreen Black Brown Brown Black Gray 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 Orange Black Black Black\nBlack Black Black Black Black Black Black Black Purple\nBlack Black Black Black Brown Black Black Black Pink\nBlack Black Black Black Black Gray Black Black Black\nBrown Black Gray Black Black Black Brown Black Black\nYellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Black Gray Black Brown Orange Brown Black Purple\nBrown Black Gray Black Brown Orange Brown Black Purple\nBrown Black Gray Black Brown Orange Brown Black Purple\nBrown Black Gray Black Brown Orange Brown Black Purple\nBrown Black Gray Black Brown Orange Brown Black Purple\nBrown Black Gray Black Brown Orange Brown Black Purple\nBrown Black Gray Black Brown Orange Brown Black Purple\nBrown Black Gray Black Brown Gray Brown Black Purple\nYellow Black Gray Black Brown Pink Brown Black Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Blue Black Black Black Black Black Blue\nBlack Blue Black Black Black Black Blue Black Black Black Black Blue Black\nBlack Black Blue Black Black Black Blue Black Black Black Blue Black Black\nBlack Black Black Blue Black Black Blue Black Black Blue Black Black Black\nBlack Black Black Black Blue Black Blue Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Blue Black Black Black Black\nBlack Black Black Blue Black Black Blue Black Black Blue Black Black Black\nBlack Black Blue Black Black Black Blue Black Black Black Blue Black Black\nBlack Blue Black Black Black Black Blue Black Black Black Black Blue Black\nBlue Black Black Black Black Black Blue Black Black Black Black Black Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Blue Black Black Black Black Black\nBlack Blue Black Black Black Black Blue Black Black Black Black Blue\nBlack Black Blue Black Black Black Blue Black Black Black Blue Black\nBlack Black Black Blue Black Black Blue Black Black Blue Black Black\nBlack Black Black Black Blue Black Blue Black Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Blue Black Black Black\nBlack Black Black Blue Black Black Blue Black Black Blue Black Black\nBlack Black Blue Black Black Black Blue Black Black Black Blue Black\nBlack Blue Black Black Black Black Blue Black Black Black Black Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nBlue Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Blue Black Black Black Black Black Blue\nBlack Black Blue Black Black Black Black Blue Black Black Black Black Blue Black\nBlack Black Black Blue Black Black Black Blue Black Black Black Blue Black Black\nBlack Black Black Black Blue Black Black Blue Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Black Blue Black Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Black Blue Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Blue Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black Blue Black Black\nBlack Black Blue Black Black Black Black Blue Black Black Black Black Blue Black\nBlack Blue Black Black Black Black Black Blue Black Black Black Black Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black 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 Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black Black Black Black Blue Black Black Black Black Blue\nBlack Blue Black Black Black Blue Black Black Black Blue Black\nBlack Black Blue Black Black Blue Black Black Blue Black Black\nBlack Black Black Blue Black Blue Black Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Black Blue Black Blue Black Black Black\nBlack Black Blue Black Black Blue Black Black Blue Black Black\nBlack Blue Black Black Black Blue Black Black Black Blue Black\nBlue Black Black Black Black Blue Black Black Black Black Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Yellow Yellow Yellow Yellow\nBlack Black Red Red Red Red Yellow Yellow Yellow Yellow\nBlack Black Red Red Red Red Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Blue Blue 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 Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Red Black Black Black\nRed Red Yellow Yellow Yellow Yellow Yellow Black Black Black\nRed Red Yellow Yellow Yellow Yellow Yellow Black Black Black\nRed Red Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Blue Blue Blue Pink Pink Pink Pink Pink Black\nBlack Blue Blue Blue Pink Pink Pink Pink Pink Black\nBlack Blue Blue Blue Pink Pink Pink Pink Pink Black\nBlack Blue Blue Blue Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Yellow Yellow Yellow Yellow\nBlack Black Red Red Red Red Yellow Yellow Yellow Yellow\nBlack Black Red Red Red Red Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Blue Blue Blue Blue Blue Black\nBlack Yellow Yellow Yellow Blue Blue Blue Blue Blue Black\nBlack Yellow Yellow Yellow Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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\nRed Red Red Red Red Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black\nRed Red Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Gray Gray Black Black Black\nBlack Gray Red Red Black Gray Blue Black Black Green\nBlack Gray Gray Gray Black Black Black Black Black Green\nBlack Black Black Black Black Black Gray Gray Black Black\nGreen Black Gray Gray Gray Black Gray Pink Black Black\nGreen Black Gray Yellow Yellow Black Gray Gray Black Black\nBlack Black Gray Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue\n\nOutput:\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Gray Gray Black Black Black\nBlack Gray Red Red Black Gray Blue Black Black Green\nBlack Gray Gray Gray Black Black Black Black Black Green\nBlack Black Black Black Black Black Gray Gray Black Black\nGreen Black Gray Gray Gray Black Gray Pink Black Black\nGreen Black Gray Yellow Yellow Black Gray Gray Black Black\nBlack Black Gray Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Gray Gray Gray Black Black Black Pink Pink Black Black Black\nBlack Gray Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Gray Red Red Black Black\nBlack Gray Gray Black Black Black Black Gray Gray Gray Black Black\nBlack Gray Red Red Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Gray Gray Black Black Black Green Green Black\nPink Pink Black Black Gray Pink Black Black Black Green Green Black\n\nOutput:\nBlack Gray Gray Gray Black Black Black Pink Pink Black Black Black\nBlack Gray Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Gray Red Red Black Black\nBlack Gray Gray Black Black Black Black Gray Gray Gray Black Black\nBlack Gray Red Red Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Pink Black Black Black Black Black Black\n\n\nExample 3\nInput:\nPink Pink Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Yellow Black Black\nBlack Gray Blue Blue Black Black Black Yellow Black Black\nBlack Black Blue Blue Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\nGray Blue Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Green Gray Black Black Black\nBlue Blue Black Black Black Green Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Yellow Black Black\nBlack Gray Blue Blue Black Black Black Yellow Black Black\nBlack Black Blue Blue Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\nGray Blue Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Green Gray Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Yellow Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Red Red Black Yellow Yellow Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Gray 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```\nBlack 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\nBlack Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Red Red Black Yellow Yellow Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Gray 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\nBlack Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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\nPink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nGreen Green Green Green Green Black Black Black Black Black Black Black Black\nGreen 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black 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\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown 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\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 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 Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\nBlack Black Black Black Black\nBlack Purple Blue Black Black\nBlack Brown Purple Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black\nBlack Blue Blue Black\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Yellow Yellow\nBlack Black Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Yellow Black Black\nBlack Black Yellow Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black\nBlack Pink Brown Black\nBlack Pink 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 Black Black Black\nBlack Black Yellow Yellow\nBlack 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 Black Black Black Black Black Black\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 Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlue Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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 Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black\nBlue 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Blue Black\nBlack Black Black Black Black Black Blue Blue Blue\nBlue Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black\nBlue Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack 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\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 Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green Green Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green Green Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Green Green Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nGreen Green Green Green Green Black Black Black Black Black Green Green Green Black Black\nGreen Green Green Green Green Black Black Black Black Green Green Green Green Black Black\nGreen Green Green Green Green Black Black Black Black Green Green Green Green Black Black\nGreen Green Green Green Green 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\nBlack Black Black Black Black Black 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 Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Green Red Black Black\nRed Red Red Red Red Black Black Black Black Black Red Green Red Black Black\nRed Green Green Green Red Black Black Black Black Red Green Green Red Black Black\nRed Green Green Green Red Black Black Black Black Red Green Green Red Black Black\nRed Red Red Red Red 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\nBlack Black Black Black Black Black 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 Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Green Green Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Red 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack 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 Black Black\nBlack 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 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 Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Green Green Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Black Purple Black Orange Green Black Black\nOrange Black Black Orange Blue Black Yellow Black\nBlack Black Orange Black Black Purple Black Black\nBlack Black Orange Yellow Black Orange Black Pink\nBlack Black Purple Black Black Black Black Black\nPink Black Black Black Black Black Black Black\nRed Black Black Black Purple Orange Black Orange\nBlack Black Gray Black Black Yellow Black Black\n\nOutput:\nPink Black Purple Black Orange Green Black Black\nPink Black Black Orange Blue Black Yellow Black\nBlack Black Orange Black Black Purple Black Black\nBlack Black Orange Yellow Black Orange Black Pink\nBlack Black Purple Black Black Black Black Black\nPink Black Black Black Black Black Black Black\nRed Black Black Black Purple Orange Black Orange\nBlack Black Gray Black Black Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Pink Gray Black\nBlack Yellow Black Black Black Black Brown Black Black\nBlack Orange Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Yellow Black Black Black\nBlack Black Black Purple Black Black Gray Black Black\nGray Black Black Black Black Black Black Black Green\n\nOutput:\nBlack Black Black Black Black Black Pink Gray Black\nBlack Yellow Black Black Black Black Brown Black Black\nBlack Yellow Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Yellow Black Black Black\nBlack Black Black Purple Black Black Gray Black Black\nGray Black Black Black Black Black Black Black Green\n\n\nExample 3\nInput:\nGray Black Black Black Black Gray Gray Black Black\nOrange Black Purple Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Green Black\nGreen Black Black Purple Black Black Black Black Brown\nBlack Black Blue Black Yellow Black Black Blue Black\nBlack Black Black Orange Black Black Black Black Red\nBlack Black Black Brown Black Orange Black Yellow Gray\nBlack Black Black Black Black Black Black Black Red\nPink Black Black Black Pink Purple Blue Gray Black\n\nOutput:\nGray Black Black Black Black Gray Gray Black Black\nGray Black Purple Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Green Black\nGreen Black Black Purple Black Black Black Black Brown\nBlack Black Blue Black Yellow Black Black Blue Black\nBlack Black Black Orange Black Black Black Black Red\nBlack Black Black Brown Black Orange Black Yellow Gray\nBlack Black Black Black Black Black Black Black Red\nPink Black Black Black Pink Purple Blue Gray Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Purple Red Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Green\nGray Black Black Blue Yellow Black Black Black Green\nGray Black Brown Black Black Black Black Gray Black\nBlack Yellow Blue Black Blue Black Black Black Black\nPink Black Pink Black Gray Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black\nBlack Black Orange Black Black Gray 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```\nGray Black Purple Red Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Green\nGray Black Black Blue Yellow Black Black Black Green\nGray Black Brown Black Black Black Black Gray Black\nBlack Yellow Blue Black Blue Black Black Black Black\nPink Black Pink Black Blue Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black\nBlack Black Orange Black Black Gray 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 Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Yellow Yellow Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Red Green Black Black Black Black Black Red Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Green Pink Black Black Black Black Black Black Black\nBlack Black Black Black Brown Gray Brown Black Black Black Black Black Black Black\nBlack Black Black Black Blue Pink Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Green Pink Black Black Black Black Black Black Black\nBlack Black Black Black Brown Gray Brown Black Black Black Black Black Black Black\nBlack Black Black Black Blue Pink Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Green Pink Black Black\nBlack Black Black Black Black Black Black Black Black Brown Gray Brown Black Black\nBlack Black Black Black Black Black Black Black Black Blue Pink Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Brown Pink Black Black Black Black Black Black Black Black\nBlack Purple Yellow Pink Black Black Black Black Black Black Black Black\nBlack Purple Yellow 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Pink Brown Pink Black Black Black Black Black Black Black Black\nBlack Purple Yellow Pink Black Black Black Black Black Black Black Black\nBlack Purple Yellow Pink Black Black Black Black Black Black Black Black\nBlack Black Black Pink Brown Pink Black Black Black Black Black Black\nBlack Black Black Purple Yellow Pink Black Black Black Black Black Black\nBlack Black Black Purple Yellow Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\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 Yellow Purple Black Black Black Black Black\nBlack Black Black Black Green Orange Black Black Black Black Black\nBlack Black Black Black Purple Pink Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Purple Black Black Black Black Black\nBlack Black Black Black Green Orange Black Black Black Black Black\nBlack Black Black Black Purple Pink Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Purple\nBlack Black Black Black Black Black Black Black Black Green Orange\nBlack Black Black Black Black Black Black Black Black Purple Pink\nBlack Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Orange Pink Yellow Pink Brown Purple Gray Black Black\nBlack Black Pink Orange Brown Green Green Orange Orange Brown Orange Black\nBlack Black Gray Orange Blue Pink Gray Purple Orange Yellow Purple Black\nBlack Black Red Orange Orange Green Orange Blue Purple Green Green Black\nBlack Green Purple Yellow Gray Brown Purple Brown Orange Yellow Yellow Green\nBlack Black Orange Purple Gray Pink Pink Purple Gray Brown Blue Black\nBlack Black Purple Purple Yellow Yellow Gray Yellow Pink Blue Green Black\nBlack Black Purple Brown Purple Blue Yellow Red Gray Pink Orange Black\nBlack Black Black Red Brown Red Brown Red Purple Purple Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Purple Purple Orange Purple Red Gray Pink Black Black Black\nBlack Red Brown Purple Purple Yellow Orange Orange Orange Orange Black Black\nBlack Brown Purple Yellow Gray Gray Orange Blue Brown Pink Black Black\nBlack Red Blue Yellow Pink Brown Green Pink Green Yellow Black Black\nOrange Brown Yellow Gray Pink Purple Orange Gray Green Pink Purple Black\nBlack Red Red Yellow Purple Brown Blue Purple Orange Brown Black Black\nBlack Purple Gray Pink Gray Orange Purple Orange Orange Purple Black Black\nBlack Purple Pink Blue Brown Yellow Green Yellow Brown Gray Black Black\nBlack Black Orange Green Blue Yellow Green Purple Orange Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black\nBlack Black Yellow Blue Red Green Pink Black Black\nBlack Black Blue Gray Red Orange Brown Black Black\nBlack Blue Purple Brown Gray Brown Brown Purple Black\nBlack Black Purple Brown Pink Orange Blue Black Black\nBlack Black Orange Brown Pink Green Green Black Black\nBlack Black Black Black Yellow 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 Blue Black Black Black Black\nBlack Black Orange Purple Purple Blue Yellow Black Black\nBlack Black Brown Brown Brown Gray Blue Black Black\nBlack Yellow Pink Pink Gray Red Red Orange Black\nBlack Black Green Orange Brown Orange Green Black Black\nBlack Black Green Blue Brown Brown Pink Black Black\nBlack Black Black Black Purple 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 Gray Black Black Black Black\nBlack Black Black Brown Yellow Yellow Black Black Black\nBlack Black Red Green Blue Orange Purple Black Black\nBlack Black Black Pink Orange Gray Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Pink Green Brown Black Black Black\nBlack Black Pink Orange Blue Yellow Gray Black Black\nBlack Black Black Gray Orange Yellow Black Black Black\nBlack Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Gray Green Pink Black Black Black Black\nBlack Black Black Brown Gray Brown Blue Pink Black Black Black\nBlack Black Black Black Gray Pink Gray Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Pink Pink Brown Green Pink Black Black Black\nBlack Black Black Black Gray Blue Pink Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Orange Brown Black Black Black Black Black Black Black\nBlack Black Black Black Red Orange Black Black Black Yellow Black Black Black Black\nBrown Black Black Brown Black Purple Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Orange Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nYellow 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 Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow 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 Brown\nOrange 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nPink 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 Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Orange Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Orange Black Orange Black Black Black Red Black Black Brown\nBlack Black Black Red Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Pink 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\nBlack 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nOrange 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange 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\nOrange 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\nOrange 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Green\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Blue Black Black Brown Black Black\nBlack Black Black Black Black Black Red Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Brown\nBlack Black Brown Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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```\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Purple Purple Black Brown Brown Brown Black\nBlack Black Black Purple Purple Black Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\n\nOutput:\nBlack Black Black Purple Purple Black Brown Brown Brown Black\nBlack Black Black Purple Purple Black Brown Brown Brown Black\nBlack Black Black Black Black Pink Pink Pink Brown Black\nPurple Purple Black Black Black Pink Pink Pink Black Black\nPurple Purple Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Yellow Yellow\nBlack Black Black Pink Black Black Black Black Yellow Yellow\nBlack Black Black Pink Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Orange Black Black Black Red Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\n\nOutput:\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Orange Orange Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Red Black Blue Blue\nBlack Black Black Black Black Black Red Black Blue Blue\nBlack Black Orange Black Black Black Black Black Blue Blue\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nGreen Green Black Black Gray Gray Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black\nRed Red Red Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Purple Black\n\nOutput:\nBlack Black Green Green Gray Red Red Black Black Black\nBlack Black Green Green Gray Red Red Black Black Black\nGreen Green Black Black Gray Red Red Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Brown Brown Brown Black Black\nGray Gray Gray Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple 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 Gray Black Black Black Black\nBrown Brown Brown Black Black Gray Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Pink Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Gray Black Black Black Black\nBrown Brown Brown Brown Black Gray Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Pink Pink Pink Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\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 Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\n\nOutput:\nGray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Brown Black Brown\nBlack Black Black Black Black Black Black Purple Brown Black\nBlack Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Brown Black Black Black Brown\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 Brown Brown Black Black Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Purple Brown Black\nBlack Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Brown Black Black Brown Brown\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 Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black 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 Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Yellow Black Black\nBlack Black Black Black Yellow Black Black Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Green Black Red Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\nRed Red Green Red Red Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Black Black Black\nBlack Black Black Black Black Orange Black Orange Black Black\nBlack Black Black Black Black Blue Yellow Black Blue Black\nBlack Black Black Black Black Orange Blue Orange 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\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Blue Blue Black Black Black\nBlack Black Black Black Black Orange Blue Orange Blue Black\nBlack Black Black Black Blue Blue Yellow Blue Blue Black\nBlack Black Black Black Blue Orange Blue Orange 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```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Black Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\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 Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 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 Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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:\nGray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Black Black Black Red Red Red Red\nBlack Yellow Yellow Black Black Black Red Red Red Red\nBlack Yellow Yellow Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Black\nPurple Purple Purple Black Black Black Black Black Black Black\nPurple Purple Purple Black Blue Blue Blue Blue Black Black\nPurple Purple Black Black Blue Blue Blue 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 Black Gray Red Blue Blue Red Black Black Black\nBlack Black Gray Red Blue Blue Red Yellow Black Black\nBlack Black Gray Red Blue Blue Purple Yellow Black Black\nBlack Black Gray Red Blue Blue Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Gray Gray Gray Black Gray Gray Gray\nBlack Gray Gray Gray Black Gray Gray Gray\nBlack Gray Gray Black Black Gray Gray Gray\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 Brown Brown Black Black Black\nBlack Black Black Brown Brown 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 Brown Brown Gray Black Black Black\nBlack Black Black Black Brown Brown Gray Black Black Black\nBlack Black Black Black 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\n\n\nExample 3\nInput:\nPink Pink Pink Pink Black Black Black Black Pink Pink Pink\nPink Pink Pink Pink Black Black Black Black Pink Pink Pink\nPink Pink Black Black Black Black Black Black Pink Pink Pink\nPink Pink Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Purple Purple Black Black Black\nBlack Gray Gray Gray Black Black Purple Purple 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 Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Purple Purple Gray Black Black Black\nBlack Black Black Pink Purple Purple Gray Black Black Black\nBlack Black Black Pink 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\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Black Black Blue Blue Blue Black Black Black Black\nPink Pink Black Black Blue Blue Blue Black Red Red Red\nPink Pink Black Black Blue Blue Blue Black Red Red Red\nPink Pink Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Red Red Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black 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 Blue Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black\nBlack Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black\nBlack Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Black Black Green Black Black\nBlack Black Green Black Black Green Black Black\nBlue Blue Green Blue Blue Green Blue Blue\nBlue Blue Green Blue Blue Green Blue Blue\nBlack Black Green Black Black Green Black Black\nBlue Blue Green Blue Blue Green Blue Blue\nBlack Black Green Black Black Green Black Black\nBlack Black Green Black Black Green Black Black\n\n\nExample 2\nInput:\nBlack Black Black Green Blue Black Black\nBlack Black Black Black Black Black Black\nBlack Blue Black Green Black Blue Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlue Green Blue Yellow Yellow Green Blue\nBlack Green Black Black Green Green Black\nBlue Yellow Blue Yellow Green Yellow Blue\nBlack Green Black Black Green Green Black\nBlack Green Black Black Green Green Black\nBlack Green Black Black Green Green Black\nBlack Green Black Black Green Green Black\n\n\nExample 3\nInput:\nBlack Black Black Green Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Green Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlue Green Blue Blue Blue Blue Blue\nBlack Green Black Black Black Black Black\nBlack Green Black Black Black Black Black\nBlue Green Blue Blue Blue Blue Blue\nBlack Green Black Black Black Black Black\nBlack Green Black Black Black Black Black\nBlack Green Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Green Green Black Black Black\nBlack Black Black Black Green Green Black Black Black\nBlack Black Black Black Green Green Black Black Black\nBlack Black Black Black Green Green Black Black Black\nBlack Black Black Black Green Green Black Black Black\nBlue Blue Blue Blue Yellow Green Blue Blue Blue\nBlack Black Black Black Green Green Black Black Black\nBlack Black Black Black Green Green Black Black Black\nBlack Black Black Black Yellow 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 Purple Black Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black\nBlack Black Blue Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Purple Black Red Black Yellow\nBlack Black Purple Purple Black Black Purple Purple Black Black\nGray Black Purple Purple Black Black Red Purple Yellow Green\nBlack Purple Purple Purple Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Purple Gray Black Black\n\nOutput:\nBlack Black Black Black Black Pink Black Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black\nBlack Black Blue Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Pink Black Red Black Yellow\nBlack Black Pink Pink Black Black Pink Pink Black Black\nGray Black Pink Pink Black Black Red Pink Yellow Green\nBlack Pink Pink Pink Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Pink Gray Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Black Purple Black Black Black Purple Black\nPurple Purple Black Black Black Black Black Black Purple Black\nPurple Purple Black Black Black Black Black Black Purple Black\nPurple Purple Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Green\nBlack Black Black Black Purple Purple Black Gray Black Black\nBlack Black Black Black Blue Black Black Black Red Purple\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black\nBlack Black Pink Black Pink Black Black Black Pink Black\nPink Pink Black Black Black Black Black Black Pink Black\nPink Pink Black Black Black Black Black Black Pink Black\nPink Pink Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Green\nBlack Black Black Black Pink Pink Black Gray Black Black\nBlack Black Black Black Blue Black Black Black Red Pink\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nPurple Black Black Black Black Black Black Red Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black\nPurple Purple Purple Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Purple Purple Blue Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Purple Black Black Orange\n\nOutput:\nPink Black Black Black Black Black Black Red Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black\nPink Pink Pink Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Blue Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Pink Black Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Purple Black\nBlack Black Black Black Black Blue Black Black Purple Black\nBlack Black Black Black Black Orange Black Black Purple Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Purple Black Black Gray Black\nBlack Black Black Black Black Purple Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Pink Black\nBlack Black Black Black Black Blue Black Black Pink Black\nBlack Black Black Black Black Orange Black Black Pink Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Pink Black Black Gray Black\nBlack Black Black Black Black Pink Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Black Purple Black Black Black\nBlack Black Black Black Black Purple Black Red\nBlack Black Black Black Black Black Red Black\nBlack Black Black Black Black Red Black Purple\nBlack Black Black Black Red Black Black Black\nBlack Black Black Red Black Black Black Black\nBlack Black Red Black Black Black Black Black\nBlack Red Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Orange Black Black Black Black Black Red Black Black\nBlack Black Orange Black Black Black Red Black Black Black\nBlack Black Black Orange Black Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Red Black Orange Black Black Black Black\nBlack Black Red Black Black Black Orange Black Black Black\nBlack Red Black Black Black Black Black Orange Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Gray Black Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Gray Black Black Black Black Black\nBlack Black Red Black Black Black Gray Black Black Black Black\nBlack Red Black Black Black Black Black Gray Black Black Black\nRed Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Red Black Black Black\nPink Black Black Black Red Black Black Black Black\nBlack Pink Black Red Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black\nBlack Red Black Pink Black Black Black Black Black\nRed Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Brown Brown Brown Red Red Red\nBlack Black Black Brown Brown Brown Red Red Red\nBlack Black Black Brown Brown Brown Red Red Red\nPink Pink Pink Black Black Red Brown Brown Brown\nPink Pink Pink Black Black Red Brown Brown Brown\nPink Pink Pink Black Black Red Brown Brown Brown\nBrown Brown Brown Black Black Black Purple Purple Purple\nBrown Brown Brown Black Black Black Purple Purple Purple\nBrown Brown Brown Black Black Black Purple Purple Purple\n\nOutput:\nBlack Black Black Brown Brown Brown Red Red Red\nBlack Black Black Brown Brown Brown Red Red Red\nBlack Black Black Brown Brown Brown Red Red Red\nBlack Black Black Brown Brown Brown Red Red Red\nBlack Black Black Brown Brown Brown Red Red Red\nBlack Black Black Brown Brown Brown Red Red Red\nBlack Black Black Black Black Red Brown Brown Brown\nBlack Black Black Black Black Red Brown Brown Brown\nBlack Black Black Black Black Red Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown\nBlack Red Red Red Black Black Brown Brown Brown\nBlack Red Red Red Black Black Brown Brown Brown\nBlue Blue Blue Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Brown Brown Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown\nBlack Black Black Red Black Black Brown Brown Brown\nBlack Black Black Red Black Black Brown Brown Brown\nBlue Blue Blue Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Orange Orange Orange Blue Blue Blue\nBlack Red Red Orange Orange Orange Blue Blue Blue\nBlack Red Red Orange Orange Orange Blue Blue Blue\nBlack Red Red Red Black Black Red Red Red\nBlack Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Red Red Red\nBlack Black Black Orange Orange Orange Gray Gray Gray\nBlack Black Black Orange Orange Orange Gray Gray Gray\nBlack Black Black Orange Orange Orange Gray Gray Gray\n\nOutput:\nBlack Black Black Orange Orange Orange Blue Blue Blue\nBlack Black Black Orange Orange Orange Blue Blue Blue\nBlack Red Red Orange Orange Orange Blue Blue Blue\nBlack Red Red Orange Orange Orange Blue Blue Blue\nBlack Red Red Red Black Black Red Red Red\nBlack Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Red Red Red\nBlack Black Black Orange Orange Orange Gray Gray Gray\nBlack Black Black Orange Orange Orange Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Red Red Red Black\nGreen Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Red Red Red Black\nGreen Green Green Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black 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 Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Blue Gray Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Green Black Black\nBlack Black Black Black Black Green Green Green Gray Green Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Yellow Pink Green Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Gray Green Black Black\nBlack Black Black Black Black Black Green Green Black Green 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 Green Green Black Green Black Black\nBlack Black Black Black Black Green Green Green Black Green Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Green Black Black\nBlack Black Black Black Black Black Green Green Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Orange Gray Gray Purple Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Purple Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Purple Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Black Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Blue Yellow Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Black Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Blue Black Black\nBlack Black Black Black Black Black Black Black Black Brown Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Blue Purple Blue Purple Blue Purple Blue Purple Blue Purple Blue Black\nBrown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple Black\nPurple Blue Purple Blue Purple Blue Purple Blue Purple Blue Purple Blue Black\nBrown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple Black\nPurple Blue Purple Blue Purple Blue Purple Blue Purple Blue Purple Blue Black\nBrown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple Black\nPurple Blue Purple Blue Purple Blue Purple Blue Purple Blue Purple Blue Black\nBrown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple Black\nPurple Blue Purple Blue Purple Blue Purple Blue Purple Blue Purple Blue Black\nBrown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple Black\nPurple Blue Purple Blue Purple Blue Purple Blue Purple Blue Purple Blue Black\nBrown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple 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 Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Blue Yellow Black Black Black\nBlack Black Black Black Black Black Pink Brown Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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:\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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```\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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 Orange Orange Orange Black\nBlack Black Black Black Orange Orange Orange Black\nBlack Black Black Black Orange Orange Orange 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 Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black\nBlack Black 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 Orange Orange Orange\nBlack Black Black Black Orange Orange Orange\nBlack Black Black Black Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black\nBlack Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\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 Orange Orange Black\nBlack Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Black Black Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Yellow Yellow Black\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Pink Black Brown Black Black Black\nBlack Pink Pink Pink Pink Black Brown Brown Black Black\nBlack Pink Pink Pink Pink Black Brown Brown Brown Black\nBlack Pink Black Black Pink 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 Pink Black Black Pink Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black\nBlack Pink Black Black Pink Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Yellow Yellow Yellow Yellow Black Red Red Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Red Red Black\nBlack Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Blue Blue Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Orange Orange\nBlack Black Black Pink Pink Pink Pink Black Orange Orange\nBlack Black Black Pink Pink Pink Pink Black Orange Orange\nBlack Black Black Pink Pink Pink Pink 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 Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black\n\n\nExample 3\nInput:\nBlack Green Green Black Black Black Purple Purple Purple Purple\nGreen Green Green Green Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Purple Black Black Purple\nBlack Red Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Yellow Black\nBlack Red Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Orange Orange Black Black Black Black Yellow Black\nBlack Black Orange 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 Purple Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Purple Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Brown Brown Brown Brown Black Black Gray Gray Black\nBlack Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Pink Pink Pink Red Black Black\nBlack Black Black Red Orange Orange Orange Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Red Black Black Gray Gray Gray Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Red 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 Pink Pink Pink Pink Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Pink Pink Pink Red Red Red\nBlack Black Black Red Orange Orange Orange Black Black Pink Pink Pink Red Red Red\nBlack Black Black Orange Orange Orange Orange Black Black Pink Pink Pink Red Red Red\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Red Red Red\nBlack Black Black Purple Purple Purple Purple Red Black Black Gray Gray Red Red Red\nBlack Black Black Purple Purple Purple Purple Purple Black Black Gray Gray Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Gray Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Gray Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nPink Pink Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nPink Pink Black Black Blue Blue Red Blue Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nPink Pink Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nPink Pink Black Black Blue Blue Red Red Red Red Red Red Red Red Black Black\nPink Pink Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nPink Pink Pink Black Black Black Red Red Red Red Red Red Red Red Black Black\nPink Pink Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Red Yellow Yellow Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Brown Brown Brown Red Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Blue Red Blue Blue Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Red Red Red Red Red Red Red\nBlack Brown Brown Brown Brown Black Black Red Red Red Red Red Red Red\nBlack Brown Brown Brown Red Black Black Red Red Red Red Red Red Red\nBlack Black Blue Blue Blue Blue Black Red Red Red Red Red Red Red\nBlack Black Blue Red Blue Blue Black Red Red Red Red Red Red Red\nBlack Black Blue Blue Blue Blue Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Pink Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Red Black Black\nBlack Black Black Black Red Red Red Red Black Black Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Pink\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Black Black Black Black Red Black Black Black Red Black\nBlack Black Red Black Black Black Red Black Black Black Black Red Black Black Black Red Black\nBlack Black Red Black Black Black Red Black Black Black Black Red Black Black Black Red Black\nBlack Black Red Red Red Red Red Black Black Black Black Red Red Red Red Red 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 Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Red Black Black Red Red Red Red\nBlack Black Black Black Black Black Red Black Black Black Red Black Black Red Black Black Red\nBlack Black Black Black Black Black Red Black Black Black Red Black Black Red Black Black Red\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Red Red Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray\nGray Gray Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray\nGray Gray Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Blue Blue Blue Blue Blue Gray Gray Blue Blue Blue Gray\nBlack Black Gray Gray Gray Gray Blue Blue Blue Blue Blue Gray Gray Blue Blue Blue Blue\nBlack Black Gray Gray Gray Gray Blue Blue Blue Blue Blue Gray Gray Blue Blue Blue Blue\nBlack Black Gray Gray Gray Gray Blue Blue Blue Blue Blue Gray Gray Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black\nBlack Red Black Black Red Black Black Black Black Black Black\nBlack Red Black Black Red Black Red Red Red Red Red\nBlack Red Black Black Red Black Red Black Black Black Red\nBlack Red Red Red Red Black Red Black Black Black Red\nBlack Black Black Black Black Black Red Black Black Black Red\nBlack Red Red Red Red Black Red Red Red Red Red\nBlack Red Black Black Red Black Black Black Black Black Black\nBlack Red Black Black Red Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black\n\nOutput:\nBlack Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Gray Gray Blue Blue Blue Blue Blue\nGray Gray Blue Blue Gray Gray Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue\nGray Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Gray Gray Gray Black Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Red Black Black Red Black Black Black Black Black Black Black Red Black Black Red Black Black Black\nBlack Red Black Black Red Black Black Black Black Black Black Black Red Black Black Red Black Black Black\nBlack Red Black Black Red Black Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red 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 Gray Gray Gray Gray Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue 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\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nGray 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 Blue Blue Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black\nBlack Green Green Black Purple Purple Purple Black\nBlack Green Green Black Black Black Black Black\nBlack Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Purple Purple Purple\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 Green Green 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 Orange Orange Orange\nBlack Black Black Black Black Orange Orange Orange\nBlack Black Black Blue Blue Black Black Black\nBlack Black Black Blue Blue 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 Blue Blue\nBlack Black Black Black Black Black Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nRed Red Red Black Black Black Black\nRed Red Red Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black 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\nRed Red Red Black Black Black Black\nRed Red Red Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Pink Brown Purple Gray Pink Orange Black Black Black Black Black Black\nOrange Black Black Black Black Brown Green Green Orange Orange Brown Black Black Black Black Black Black\nOrange Black Black Black Black Orange Gray Orange Blue Pink Gray Black Black Black Black Black Black\nOrange Black Black Black Black Purple Orange Yellow Purple Red Orange Black Black Black Black Black Black\nOrange Black Black Black Black Orange Green Orange Blue Purple Green Black Black Black Black Black Black\nOrange Black Black Black Black Green Green Purple Yellow Gray Brown Black Black Black Black Black Black\nOrange Black Black Black Black Purple Brown Orange Yellow Yellow Green Black Black Black Black Black Black\nOrange Black Black Black Black Orange Purple Gray Pink Pink Purple Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Pink Brown Purple Gray Pink Orange Black Black Black Black Black Orange\nOrange Black Black Black Black Brown Green Green Orange Orange Brown Black Black Black Black Black Orange\nOrange Black Black Black Black Orange Gray Orange Blue Pink Gray Black Black Black Black Black Orange\nOrange Black Black Black Black Purple Orange Yellow Purple Red Orange Black Black Black Black Black Orange\nOrange Black Black Black Black Orange Green Orange Blue Purple Green Black Black Black Black Black Orange\nOrange Black Black Black Black Green Green Purple Yellow Gray Brown Black Black Black Black Black Orange\nOrange Black Black Black Black Purple Brown Orange Yellow Yellow Green Black Black Black Black Black Orange\nOrange Black Black Black Black Orange Purple Gray Pink Pink Purple Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Blue Red Green Pink Blue Gray Black Black Black Black Black\nOrange Black Black Black Red Orange Brown Blue Purple Brown Black Black Black Black Black\nOrange Black Black Black Gray Brown Brown Purple Purple Brown Black Black Black Black Black\nOrange Black Black Black Pink Orange Blue Orange Brown Pink Black Black Black Black Black\nOrange Black Black Black Green Green Yellow Yellow Orange Yellow Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Blue Red Green Pink Blue Gray Black Black Black Black Orange\nOrange Black Black Black Red Orange Brown Blue Purple Brown Black Black Black Black Orange\nOrange Black Black Black Gray Brown Brown Purple Purple Brown Black Black Black Black Orange\nOrange Black Black Black Pink Orange Blue Orange Brown Pink Black Black Black Black Orange\nOrange Black Black Black Green Green Yellow Yellow Orange Yellow Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Yellow Red Green Blue Orange Purple Black Black Black Black Black\nGray Black Black Black Black Pink Orange Gray Pink Blue Purple Black Black Black Black Black\nGray Black Black Black Black Yellow Orange Green Purple Blue Blue Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Yellow Red Green Blue Orange Purple Black Black Black Black Gray\nGray Black Black Black Black Pink Orange Gray Pink Blue Purple Black Black Black Black Gray\nGray Black Black Black Black Yellow Orange Green Purple Blue Blue Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Pink Brown Gray Brown Blue Black Black Black Black Black\nPink Black Black Black Pink Gray Pink Gray Pink Black Black Black Black Black\nPink Black Black Black Brown Brown Orange Pink Pink Black Black Black Black Black\nPink Black Black Black Pink Purple Brown Yellow Blue Black Black Black Black Black\nPink Black Black Black Orange Orange Pink Gray Blue Black Black Black Black Black\nPink Black Black Black Red Pink Brown Red Purple Black Black Black Black Black\nPink Black Black Black Orange Blue Orange Yellow Purple Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Pink Brown Gray Brown Blue Black Black Black Black Pink\nPink Black Black Black Pink Gray Pink Gray Pink Black Black Black Black Pink\nPink Black Black Black Brown Brown Orange Pink Pink Black Black Black Black Pink\nPink Black Black Black Pink Purple Brown Yellow Blue Black Black Black Black Pink\nPink Black Black Black Orange Orange Pink Gray Blue Black Black Black Black Pink\nPink Black Black Black Red Pink Brown Red Purple Black Black Black Black Pink\nPink Black Black Black Orange Blue Orange Yellow Purple Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black Blue Blue Blue Black\nBlack Black Gray Black Gray Purple Gray Black Orange Blue Orange Black Black Black Black Black Black\nBlack Black Gray Black Purple Purple Purple Black Orange Orange Orange Black Orange Orange Brown Black Black\nBlack Black Gray Black Gray Purple Gray Black Black Black Black Black Gray Pink Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Black Blue\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Blue\nBlack Purple Blue Black Black Black Black Black Yellow Yellow Green Black Black Black Black Black Black\nBlack Brown Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\n\nOutput:\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black Blue Blue Blue Black\nBlack Black Blue Black Gray Orange Orange Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Gray Black Orange Orange Orange Black Orange Orange Orange Black Orange Gray Gray Black Black\nBlack Black Gray Black Orange Orange Orange Black Black Black Black Black Orange Orange Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Gray\nBlack Black Black Black Black Black Black Black Green Orange Orange Black Black Black Black Black Blue\nBlack Blue Gray Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Orange Orange Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Gray Gray Orange Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Blue Black Brown Black Yellow Gray Yellow Black Gray Yellow Black Black Black\nBlack Black Black Black Brown Black Gray Pink Gray Black Gray Red Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Gray Yellow Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nPink Pink Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Blue Purple\n\nOutput:\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Blue Black Brown Black Orange Gray Orange Black Brown Yellow Black Black Black\nBlack Black Black Black Orange Black Gray Pink Gray Black Orange Brown Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nOrange Orange Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBrown Orange Black Gray Black Black Black Black Black Black Black Black Black Black Black\nYellow Brown Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Yellow Black Blue Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Brown Black Black Yellow Orange Yellow Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Orange Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Purple Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Yellow Orange Yellow Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Orange Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Orange Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Yellow Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Brown Black Black Black Yellow Black Black Black Black Black Black Black Black\nGreen Pink Black Black Black Purple Black Black Black Black Black Black Black Black\nBlue 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\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Brown Black Black Black Yellow Black Black Black Black Black Black Black Black\nBrown Pink Black Black Black Purple Black Black Black Black Black Black Black Black\nPink 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\nBlack Black Black Black Black Black Black Black Black Black Black Blue Purple Yellow\nYellow Black Blue Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Brown Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Black Black Black Black Black\nBrown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Black Black Black Black\nBrown Brown Brown Black Black Black Black\nBrown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlue Blue Black 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\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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:\nBlue Blue Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nYellow Yellow Yellow Red Red Red Black Black Black Black Black Black Black Black\nYellow Black Yellow Red Red Red Black Black Black Black Black Black Black Black\nYellow Yellow Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\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 Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Gray Black Black Black Gray Black\nGray Gray Gray Black Gray Black Black Black Gray Black\nGray Black Gray Black Gray Gray Gray Gray Gray Black\nGray Black Gray Black Black Black Black Black Black Black\nGray Black Gray Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black 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:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black Black Blue Blue\nBlue Blue Blue Blue Blue Black Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\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 Gray Black Gray Gray Gray Gray\nBlack Black Gray Black Gray Black Gray Black Black Gray\nBlack Black Gray Black Gray Black Gray Black Black Gray\nBlack Black Gray Black Gray Black Gray Gray Gray Gray\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\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 Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Black Black Gray Black Black\nBlack Black Black Black Gray Black Black Gray Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Gray Black Black Black Gray Black\nBlack Black Black Black Gray Gray Gray 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 Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Pink Pink Pink Black Black Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Pink Pink Pink Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\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 Purple Purple Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Brown Brown Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Brown Brown Brown Red Red Red Red Red Black\nBlack Black Black Black Brown Brown Brown Brown Brown Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange 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 Brown Brown Brown Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Yellow Yellow Yellow Black Yellow Yellow Black Black Black Black Black Black Black\nPurple Purple Black Yellow Yellow Yellow Black Yellow Yellow Black Green Green Green Black Black Black\nPurple Purple Black Yellow Yellow Yellow Black Yellow Yellow Black Green Green Green Blue Blue Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Green Green Green Blue Blue Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Blue Blue Black\nBlack Black Orange Orange Orange Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Orange Orange Orange Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Orange Orange Orange Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Orange Orange Orange Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Orange Orange Orange 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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Green Green Blue Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange 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\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Brown Brown Brown Black\nOrange Orange Orange Orange Orange Black Black Green Green Green Brown Brown Brown Black\nBlack Black Gray Gray Black Black Black Green Green Green Brown Brown Brown Black\nBlack Black Gray Gray Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Gray Gray Black Black Black Black Black Black Brown Brown Brown Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Brown Brown Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Orange Orange Orange Black Black Black Black Black Black Brown Black Black Black\nBlack Orange Orange Orange Black Black Black Black Green Green Brown Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Brown Black Black Black Black Black Black Black Blue Black\nBlack Black Black Brown Black Black Black Black Black Blue Black Black\nBlack Black Black Black Brown Black Black Black Blue Black Black Black\nBlack Black Black Black Black Brown Yellow Blue Black Black Black Black\nBlack Black Black Black Black Yellow Brown Yellow Black Black Black Black\nBlack Black Black Black Black Green Yellow Red Black Black Black Black\nBlack Black Black Black Green Black Black Black Red Black Black Black\nBlack Black Black Green Black Black Black Black Black Red 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 Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Brown Black Black Black Black Black Blue Black\nBlack Black Black Brown Black Black Black Blue Black Black\nBlack Black Black Black Brown Yellow Blue Black Black Black\nBlack Black Black Black Yellow Brown Yellow Black Black Black\nBlack Black Black Black Green Yellow Red Black Black Black\nBlack Black Black Green Black Black Black Red Black Black\nBlack Black Green Black Black Black Black Black Red Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Brown Black Black Black Black Black Blue Black Black\nBlack Black Black Brown Black Black Black Blue Black Black Black\nBlack Black Black Black Brown Yellow Blue Black Black Black Black\nBlack Black Black Black Yellow Brown Yellow Black Black Black Black\nBlack Black Black Black Green Yellow Red Black Black Black Black\nBlack Black Black Green Black Black Black Red Black Black Black\nBlack Black Green Black Black Black Black Black Red Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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"content": "The output grid for the test input grid is:\n\n```\nBrown Black Black Black Black Black Black Black Blue\nBlack Brown Black Black Black Black Black Blue Black\nBlack Black Brown Black Black Black Blue Black Black\nBlack Black Black Brown Yellow Blue Black Black Black\nBlack Black Black Yellow Brown Yellow Black Black Black\nBlack Black Black Green Yellow Red Black Black Black\nBlack Black Green Black Black Black Red Black Black\nBlack Green Black Black Black Black Black Red Black\nGreen Black Black Black Black Black Black Black Red\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
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{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Green Green Green Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black Black Black Black\nBlue Blue Black Black Green Green Black Black Green Green Black Black Black Black Black Black Black\nBlue Blue Black Green Green Green Black Black Black Black Black Black Green Black Black Green Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Green Green Black Black Black Black Black Black\nBlack 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 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\n\nOutput:\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\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\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\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 Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Red Red Red Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Red Red Red Black Yellow Yellow Yellow Black Red Red Red Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Red Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Red Red Red Black Black Black Black Red Black Red Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Green Green Green Green Black Black Black Blue\nBlack Black Black Yellow Yellow Yellow Black Black Green Black Black Green Black Black Black Blue\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Blue Black Black Black Red Red Red Red Black Black Red Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Red Black Black Black\n\nOutput:\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Red Red Black Black Black Green Green Black Black Black\nBlack Blue Blue Black Red Red Black Black Black Green Green Black Black Black\nBlack Black Black Black Red Red Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Red Red Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Red Red Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue 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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
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