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{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Purple Orange Orange Black\nBlack Pink Orange Black Black\nPink Black Gray Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Pink Black Black\nPurple Pink Black Black Black\nOrange Orange Gray Black Black\nOrange Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nYellow Blue Black Green Black Black\nBlack Black Black Black Blue Black\nGreen Black Black Yellow Black Black\nBlack Brown Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nYellow Black Green Black Black Black\nBlue Black Black Brown Black Black\nBlack Black Black Black Black Black\nGreen Black Yellow Black Black Black\nBlack Blue Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Blue Purple Black Black\nYellow Black Black Black Pink Black\nBlack Purple Orange Black Black Black\nGreen Green Red Black Black Black\nPurple Black Black Black Black Black\nOrange Black Black Black Black Black\n\nOutput:\nBlack Yellow Black Green Purple Orange\nBlack Black Purple Green Black Black\nBlue Black Orange Red Black Black\nPurple Black Black Black Black Black\nBlack Pink Black Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Brown Pink Black\nBlack Black Brown Black\nGreen Black Black Black\nBrown Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Green Brown\nBrown Black Black Black\nPink Brown Black Black\nBlack Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Black Black Red Red Black Black Black Black Black\nRed Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Blue Black Black Black Black Black Black\nBlack Blue Black Gray Black Black Black Black Black Black\nBlack Black Black Red Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Blue Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Red Black Black Black Black Gray\n\nOutput:\nGray Red Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Green Black Black Black Black Black Black\nRed Green Black Gray Red Black Black Black Black Black\nRed Black Black Black Gray Black Black Black Black Red\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Green Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Gray\n\n\nExample 2\nInput:\nGray Black Black Black Black Black Black Black Black Red\nBlack Gray Red Black Black Blue Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nRed Black Black Gray Black Black Black Black Black Black\nBlack Black Black Blue Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Blue Black Black Blue Gray\n\nOutput:\nGray Black Black Red Black Black Black Black Black Black\nBlack Gray Black Black Black Green Black Black Black Black\nBlack Red Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Green Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nRed Black Black Black Black Green Black Black Green Gray\n\n\nExample 3\nInput:\nGray Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Blue Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Black Blue Black Black Black Black\nBlack Black Black Red Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Black Blue Black\nBlack Black Blue Black Black Black Black Gray Black Red\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Blue Black Black Black Black Black Black Gray\n\nOutput:\nGray Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Green Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Red Green Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Black Green Black\nBlack Black Green Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Green Black Black Black Black Red Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Black Black Black Black Black\nBlack Gray Black Blue Black Blue Black Black Black Blue\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlue Black Red Black Gray Blue Black Black Black Black\nBlack Black Black Black Red Gray Black Blue Black Black\nBlack Black Black Black Black Black Gray Black Black Red\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Black Black Black Black Black Black Black Black Black\nBlack Gray Black Green Black Green Black Black Black Green\nBlack Black Gray Black Red Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nGreen Black Black Black Gray Green Black Black Black Black\nBlack Black Black Black Black Gray Black Green Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Red Black Black 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\nBlack Black Red Black Red Black\nBlack Black Red Black Red Black\nBlack Black Red Red Red Black\nBlack Black Red Red Red Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Green Black Green Black\nBlack Black Green Black Green Black\nBlack Black Green Green Green Black\nBlack Black Green Green Green Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black\nBlack Orange Black Black\nBlack Orange Black Black\nBlack Black Black Black\n\nOutput:\nBlack Black Black Black\nBlack Green Black Black\nBlack Green Black Black\nBlack Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black\nBlack Black Black Orange Orange Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Green Black Black Black Black\nBlack Green Green Green Green Green Black\nBlack Black Black Green Green Black Black\nBlack Black Black Green Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black\nBlack Yellow Yellow Black\nBlack Yellow Black Black\nBlack Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black\nBlack Green Green Black\nBlack Green Black Black\nBlack Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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:\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\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\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\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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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```\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green\nBlack Black Black Black Green Green Green Green Orange Orange Orange Orange Orange Orange Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Orange Orange Orange Orange Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Orange Orange Orange Orange Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Orange Orange Orange Orange Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Orange Orange Orange Orange Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Blue Blue Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Green Green Green Green Green Green Blue Blue Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Green Green Green Green Green Green Blue Blue Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Green Green Green Green Green Green Blue Blue Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Green Green Green Green Green Green Blue Blue Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Green Green Green Green Green Green Blue Blue Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Orange Orange Orange Orange Orange Orange 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 Orange Green\nBlack Black Black Black Green Brown Orange\nBlack Black Black Black Pink Gray Purple\nBlack Black Black Black Brown Pink Yellow\nBlack Black Black Black Pink Orange Purple\n\nOutput:\nGreen Orange Orange Orange Orange Green\nOrange Brown Green Green Brown Orange\nPurple Gray Pink Pink Gray Purple\nYellow Pink Brown Brown Pink Yellow\nPurple Orange Pink Pink Orange Purple\n\n\nExample 2\nInput:\nBlack Black Black Blue Brown\nBlack Black Black Orange Red\nBlack Black Black Gray Blue\nBlack Black Black Pink Green\nBlack Black Black Red Blue\nBlack Black Black Yellow Orange\n\nOutput:\nBrown Blue Blue Brown\nRed Orange Orange Red\nBlue Gray Gray Blue\nGreen Pink Pink Green\nBlue Red Red Blue\nOrange Yellow Yellow Orange\n\n\nExample 3\nInput:\nBlack Black Black Green Orange Yellow\nBlack Black Black Purple Blue Pink\nBlack Black Black Gray Orange Pink\nBlack Black Black Purple Orange Blue\nBlack Black Black Green Red Yellow\nBlack Black Black Yellow Brown Gray\n\nOutput:\nYellow Orange Green Green Orange Yellow\nPink Blue Purple Purple Blue Pink\nPink Orange Gray Gray Orange Pink\nBlue Orange Purple Purple Orange Blue\nYellow Red Green Green Red Yellow\nGray Brown Yellow Yellow Brown Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Brown\nBlack Black Gray Brown\nBlack Black Pink Green\nBlack Black Gray Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Blue Blue Brown\nBrown Gray Gray Brown\nGreen Pink Pink Green\nPink Gray Gray Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Yellow Yellow Yellow Pink Red Gray Gray Pink\nGray Blue Yellow Yellow Yellow Gray Gray Gray Blue Yellow\nBlue Purple Yellow Yellow Yellow Gray Gray Gray Red Gray\nYellow Pink Purple Purple Pink Gray Gray Red Red Red\nYellow Pink Yellow Red Blue Purple Pink Red Red Red\nYellow Purple Yellow Purple Blue Green Green Red Red Red\nGreen Red Purple Pink Blue Green Gray Gray Blue Blue\nGray Green Green Yellow Gray Gray Pink Purple Gray Gray\nPurple Red Blue Gray Blue Gray Green Pink Pink Pink\nPurple Pink Blue Purple Gray Gray Red Gray Blue Gray\n\nOutput:\nGray Gray Yellow Yellow Yellow Pink Red Gray Gray Pink\nGray Blue Yellow Yellow Yellow Gray Gray Gray Blue Yellow\nBlue Purple Yellow Yellow Yellow Gray Gray Gray Red Gray\nYellow Pink Purple Purple Pink Gray Gray Red Red Yellow\nYellow Pink Yellow Red Blue Purple Pink Red Red Red\nYellow Purple Yellow Purple Blue Green Green Red Red Red\nGreen Red Purple Pink Blue Green Gray Gray Blue Blue\nGray Green Green Yellow Gray Gray Pink Purple Gray Gray\nPurple Red Blue Gray Blue Gray Green Pink Pink Pink\nPurple Pink Blue Purple Gray Gray Red Gray Blue Gray\n\n\nExample 2\nInput:\nPurple Green Green Pink Purple Blue Yellow Red Pink Blue\nGray Pink Purple Yellow Yellow Green Red Purple Red Pink\nPink Purple Purple Purple Red Yellow Pink Red Purple Gray\nGray Purple Purple Purple Gray Gray Pink Pink Pink Blue\nBlue Purple Purple Purple Pink Blue Pink Pink Pink Yellow\nGray Gray Blue Pink Gray Blue Pink Pink Pink Red\nRed Yellow Yellow Green Green Green Red Gray Green Yellow\nRed Green Pink Green Green Green Pink Purple Red Blue\nPurple Red Gray Green Green Green Blue Red Pink Green\nGreen Purple Gray Purple Green Yellow Blue Yellow Green Blue\n\nOutput:\nPurple Green Green Pink Purple Blue Yellow Red Pink Blue\nGray Pink Purple Yellow Yellow Green Red Purple Red Pink\nPink Purple Purple Yellow Red Yellow Pink Red Purple Gray\nGray Purple Purple Purple Gray Gray Pink Pink Yellow Blue\nBlue Purple Purple Purple Pink Blue Pink Pink Pink Yellow\nGray Gray Blue Pink Gray Blue Pink Pink Pink Red\nRed Yellow Yellow Green Green Yellow Red Gray Green Yellow\nRed Green Pink Green Green Green Pink Purple Red Blue\nPurple Red Gray Green Green Green Blue Red Pink Green\nGreen Purple Gray Purple Green Yellow Blue Yellow Green Blue\n\n\nExample 3\nInput:\nGreen Blue Red Pink Pink Pink Red Green Green Blue\nYellow Purple Purple Red Gray Yellow Pink Red Purple Gray\nRed Purple Green Purple Purple Green Red Pink Blue Purple\nPurple Red Purple Pink Green Green Blue Yellow Red Red\nGray Blue Gray Blue Red Red Red Red Gray Yellow\nGray Pink Pink Purple Purple Red Red Red Pink Yellow\nYellow Yellow Gray Green Yellow Red Red Red Pink Pink\nRed Blue Green Gray Red Purple Green Pink Pink Pink\nYellow Red Red Red Pink Pink Yellow Pink Pink Pink\nRed Yellow Blue Yellow Blue Yellow Pink Red Green Pink\n\nOutput:\nGreen Blue Red Pink Pink Pink Red Green Green Blue\nYellow Purple Purple Red Gray Yellow Pink Red Purple Gray\nRed Purple Green Purple Purple Green Red Pink Blue Purple\nPurple Red Purple Pink Green Green Blue Yellow Red Red\nGray Blue Gray Blue Red Red Red Yellow Gray Yellow\nGray Pink Pink Purple Purple Red Red Red Pink Yellow\nYellow Yellow Gray Green Yellow Red Red Red Pink Pink\nRed Blue Green Gray Red Purple Green Pink Pink Pink\nYellow Red Red Red Pink Pink Yellow Pink Pink Pink\nRed Yellow Blue Yellow Blue Yellow Pink Red Green Pink\n\n\nHere is the input grid for the test example:\nInput:\nGreen Yellow Green Blue Yellow Purple Yellow Red Purple Purple\nGreen Red Red Red Gray Pink Red Yellow Yellow Purple\nYellow Purple Gray Blue Blue Pink Green Green Green Pink\nGray Yellow Red Gray Purple Green Blue Blue Blue Pink\nBlue Purple Pink Yellow Gray Green Blue Blue Blue Purple\nPurple Purple Pink Red Green Red Blue Blue Blue Green\nGray Green Yellow Blue Pink Yellow Yellow Yellow Purple Purple\nRed Blue Red Green Purple Yellow Yellow Yellow Pink Blue\nPurple Green Pink Yellow Blue Yellow Yellow Yellow Purple Pink\nGray Red Purple Green Purple Gray Green Blue Pink Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Yellow Green Blue Yellow Purple Yellow Red Purple Purple\nGreen Red Red Red Gray Pink Red Yellow Yellow Purple\nYellow Purple Gray Blue Blue Pink Green Green Green Pink\nGray Yellow Red Gray Purple Green Blue Blue Yellow Pink\nBlue Purple Pink Yellow Gray Green Blue Blue Blue Purple\nPurple Purple Pink Red Green Red Blue Blue Blue Green\nGray Green Yellow Blue Pink Yellow Yellow Yellow Purple Purple\nRed Blue Red Green Purple Yellow Yellow Yellow Pink Blue\nPurple Green Pink Yellow Blue Yellow Yellow Yellow Purple Pink\nGray Red Purple Green Purple Gray Green Blue Pink Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Brown Black Brown Black Black Black Black Green Green Black\nGray Gray Gray Black Brown Brown Brown Black Black Black Black Green Green Black\nGray Gray Black Black Brown Brown Brown Red Red Black Black Green Green Black\nGray Gray Black Black Brown Black Brown Red Red Black Black Green Green Black\nGray Gray Gray Yellow Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Yellow Yellow Black Black Pink Black Black Brown Brown Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Yellow Black Pink Pink Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Pink Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black\n\nOutput:\nPink Pink\nBlack Pink\nPink Pink\n\n\nExample 2\nInput:\nRed Red Black Orange Black Orange Pink Pink Pink Black Gray Gray Black\nRed Black Black Orange Orange Orange Pink Pink Pink Black Black Gray Black\nRed Red Black Orange Black Orange Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Red Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlue Blue Black Black Black Black Black Black Black Black Blue Blue Black\nBlue Blue Black Black Black Blue Blue Black Black Black Blue Blue Black\nBlue Blue Black Black Black Black Blue Blue Black Black Blue Blue Black\n\nOutput:\nRed Red\nRed Black\nRed Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Green Black Black Black 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 Black Green Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Green Green 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\n\nOutput:\nBlack Green\nBlack Green\nGreen Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Blue Blue Black Black Black Black Black Black\nOrange Black Black Black Blue Blue Black Black Black Black Black Black\nOrange Black Black Black Blue Blue Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Yellow Yellow Black Black Black Black Black Black Black\nOrange Orange Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow 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```\nOrange Black Black\nOrange Black Black\nOrange Black Black\nOrange 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 Pink Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink 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 Brown Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Brown Brown Brown\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 Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black 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 Pink Black Black Black Black\nBlack Black Black Pink Black Black Pink Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Pink Black Black Black Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Black Pink Black Pink Black Pink Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Brown Brown Pink Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Purple Pink Black Purple Black Pink Black Black Brown Brown Brown\nBlack Black Black Black Black Black Pink Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Blue Blue Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nOrange Orange Red Red Red Black Black Black Black Black Black Black Black Black Black\nOrange Orange Red Red Red Black Black Black Black Black Black Black Black Black Black\nOrange Orange 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\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 Blue Red Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Red Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue Blue Black\nBlack Black Red Black Black Black Black Yellow Yellow Yellow Blue Black Black Black Black\nBlack Black Red Red Red Black Yellow Black Black Blue Black Black Black Black Black\nOrange Orange Red Red Red Yellow Black Black Blue Black Black Black Black Black Black\nOrange Orange Red Red Yellow Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Yellow Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown 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 Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Green Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Black Black Black\nBlack 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 Brown Black Black Red Red Red\nBlack Black Black Black Black Black Black Brown Black Brown Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Red 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 Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Pink Pink Pink Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Pink Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Gray 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 Brown Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Brown Brown Brown Brown Brown Brown Brown Pink Pink Black\nBlack Black Brown Brown Black Black Black Black Black Black Pink Black Pink Black\nBlack Black Brown Brown Brown Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Gray Pink Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Green Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nBrown Yellow Blue Purple Brown Yellow Blue Purple\nBrown Yellow Blue Purple Brown Yellow Blue Purple\nBrown Yellow Blue Purple Brown Yellow Blue Purple\nBrown Yellow Blue Purple Brown Yellow Blue Purple\nBrown Yellow Blue Purple Brown Yellow Blue Purple\nBrown Yellow Blue Purple Brown Yellow Blue Purple\nBrown Yellow Blue Purple Brown Yellow Blue Purple\nBrown Yellow Blue Purple Brown Yellow Blue Purple\nBrown Yellow Blue Purple Brown Yellow Blue Purple\nBrown Yellow Blue Purple Brown Yellow Blue Purple\nBrown Yellow Blue Purple Brown Yellow Blue Purple\nBrown Yellow Blue Purple Brown Yellow Blue Purple\n\nOutput:\nBrown Red Yellow Purple Brown Red Yellow Purple\nBrown Red Yellow Purple Brown Red Yellow Purple\nBrown Red Yellow Purple Brown Red Yellow Purple\nBrown Red Yellow Purple Brown Red Yellow Purple\nBrown Red Yellow Purple Brown Red Yellow Purple\nBrown Red Yellow Purple Brown Red Yellow Purple\nBrown Red Yellow Purple Brown Red Yellow Purple\nBrown Red Yellow Purple Brown Red Yellow Purple\nBrown Red Yellow Purple Brown Red Yellow Purple\nBrown Red Yellow Purple Brown Red Yellow Purple\nBrown Red Yellow Purple Brown Red Yellow Purple\nBrown Red Yellow Purple Brown Red Yellow Purple\n\n\nExample 2\nInput:\nGreen Orange Purple Pink Green Orange Purple\nGreen Orange Purple Pink Green Orange Purple\nGreen Orange Purple Pink Green Orange Purple\nGreen Orange Purple Pink Green Orange Purple\nGreen Orange Purple Pink Green Orange Purple\nGreen Orange Purple Pink Green Orange Purple\nGreen Orange Purple Pink Green Orange Purple\nGreen Orange Purple Pink Green Orange Purple\nGreen Orange Purple Pink Green Orange Purple\nGreen Orange Purple Pink Green Orange Purple\n\nOutput:\nBlue Orange Purple Pink Blue Orange Purple\nBlue Orange Purple Pink Blue Orange Purple\nBlue Orange Purple Pink Blue Orange Purple\nBlue Orange Purple Pink Blue Orange Purple\nBlue Orange Purple Pink Blue Orange Purple\nBlue Orange Purple Pink Blue Orange Purple\nBlue Orange Purple Pink Blue Orange Purple\nBlue Orange Purple Pink Blue Orange Purple\nBlue Orange Purple Pink Blue Orange Purple\nBlue Orange Purple Pink Blue Orange Purple\n\n\nExample 3\nInput:\nGray Pink Green Blue Gray Pink Green\nGray Pink Green Blue Gray Pink Green\nGray Pink Green Blue Gray Pink Green\nGray Pink Green Blue Gray Pink Green\nGray Pink Green Blue Gray Pink Green\nGray Pink Green Blue Gray Pink Green\nGray Pink Green Blue Gray Pink Green\nGray Pink Green Blue Gray Pink Green\nGray Pink Green Blue Gray Pink Green\nGray Pink Green Blue Gray Pink Green\nGray Pink Green Blue Gray Pink Green\n\nOutput:\nGray Pink Blue Yellow Gray Pink Blue\nGray Pink Blue Yellow Gray Pink Blue\nGray Pink Blue Yellow Gray Pink Blue\nGray Pink Blue Yellow Gray Pink Blue\nGray Pink Blue Yellow Gray Pink Blue\nGray Pink Blue Yellow Gray Pink Blue\nGray Pink Blue Yellow Gray Pink Blue\nGray Pink Blue Yellow Gray Pink Blue\nGray Pink Blue Yellow Gray Pink Blue\nGray Pink Blue Yellow Gray Pink Blue\nGray Pink Blue Yellow Gray Pink Blue\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Red Red Red\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Orange Black Black Black Black Black Black Black Black\nOrange Orange Black Yellow Orange Yellow Black Black Black Black\nOrange Orange Black Yellow Yellow Black Black Black Black Black\nYellow Orange Black Yellow Orange Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Yellow Black Black Black Black Yellow Yellow\nBlack Black Black Yellow Orange Black Black Black Yellow Yellow\nBlack Black Black Yellow Orange Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Pink Black Black Black Black Black Black Black Black\nPink Pink Black Purple Black Black Black Black Black Black\nPink Pink Black Purple Purple Black Black Black Black Black\nBlack Pink Black Purple Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Purple Black Black Black Black Pink Pink\nBlack Black Black Purple Black Black Black Black Pink Pink\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Yellow Yellow Yellow Yellow Black Orange Orange Orange Orange\nBlack Yellow Yellow Yellow Yellow Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Yellow Orange Yellow Orange Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black\nBlack Orange Yellow Black Black Orange Orange Black Black Black\nBlack Orange Yellow Black Black Orange Orange Black Black Black\nBlack Yellow Yellow Black Black Yellow Yellow Black Black Black\n\nOutput:\nBlack Pink Pink Pink Pink Black Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black\nBlack Black Pink Black Black Purple Purple Black Black Black\nBlack Black Pink Black Black Purple Purple Black Black Black\nBlack Pink Pink 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 Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Yellow Yellow Yellow\nBlack Black Black Orange Orange 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\nOrange Orange Black Black Yellow Yellow Black Black Black Black\nOrange Orange Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Pink Pink Pink\nBlack Black Black Purple Purple Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Purple Purple Black Black Black Black\nPurple Purple Black Black Purple Purple 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 Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Orange Yellow Yellow\nBlack Black Yellow Orange Black Black Black Black Orange Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange 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\n\nOutput:\nBlack Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\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 Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Yellow Green Purple Orange\nBlack Black Black Black Blue Green Yellow Red\nBlack Black Black Black Pink Red Orange Green\nBlack Black Black Black Blue Purple Pink Blue\nBlack Black Black Black Brown Blue Orange Red\nBlack Black Black Black Red Pink Brown Red\nBlack Black Black Black Purple Green Red Pink\nBlack Black Black Black Brown Yellow Red Pink\n\nOutput:\nYellow Green Purple Orange Yellow Green Purple Orange\nBlue Green Yellow Red Blue Green Yellow Red\nPink Red Orange Green Pink Red Orange Green\nBlue Purple Pink Blue Blue Purple Pink Blue\nBrown Blue Orange Red Brown Blue Orange Red\nRed Pink Brown Red Red Pink Brown Red\nPurple Green Red Pink Purple Green Red Pink\nBrown Yellow Red Pink Brown Yellow Red Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Yellow Red Pink Purple\nBlack Black Black Black Orange Green Brown Yellow\nBlack Black Black Black Pink Blue Orange Blue\nBlack Black Black Black Brown Purple Red Green\nBlack Black Black Black Pink Purple Brown Orange\nBlack Black Black Black Red Blue Blue Orange\nBlack Black Black Black Purple Yellow Brown Orange\nBlack Black Black Black Green Pink Green Green\n\nOutput:\nYellow Red Pink Purple Yellow Red Pink Purple\nOrange Green Brown Yellow Orange Green Brown Yellow\nPink Blue Orange Blue Pink Blue Orange Blue\nBrown Purple Red Green Brown Purple Red Green\nPink Purple Brown Orange Pink Purple Brown Orange\nRed Blue Blue Orange Red Blue Blue Orange\nPurple Yellow Brown Orange Purple Yellow Brown Orange\nGreen Pink Green Green Green Pink Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Blue Pink Orange Orange Pink\nBlack Black Black Black Black Red Brown Orange Green Pink\nBlack Black Black Black Black Red Red Green Yellow Pink\nBlack Black Black Black Black Pink Orange Brown Pink Orange\nBlack Black Black Black Black Brown Red Yellow Red Orange\nBlack Black Black Black Black Orange Orange Orange Purple Orange\nBlack Black Black Black Black Yellow Green Red Brown Brown\nBlack Black Black Black Black Orange Purple Purple Red Brown\nBlack Black Black Black Black Red Pink Brown Yellow Blue\nBlack Black Black Black Black Blue Orange Orange Pink Blue\n\nOutput:\nBlue Pink Orange Orange Pink Blue Pink Orange Orange Pink\nRed Brown Orange Green Pink Red Brown Orange Green Pink\nRed Red Green Yellow Pink Red Red Green Yellow Pink\nPink Orange Brown Pink Orange Pink Orange Brown Pink Orange\nBrown Red Yellow Red Orange Brown Red Yellow Red Orange\nOrange Orange Orange Purple Orange Orange Orange Orange Purple Orange\nYellow Green Red Brown Brown Yellow Green Red Brown Brown\nOrange Purple Purple Red Brown Orange Purple Purple Red Brown\nRed Pink Brown Yellow Blue Red Pink Brown Yellow Blue\nBlue Orange Orange Pink Blue Blue Orange Orange Pink Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Yellow Brown Green Red Orange Blue\nBlack Black Black Black Black Black Red Pink Pink Yellow Blue Blue\nBlack Black Black Black Black Black Green Purple Yellow Blue Brown Green\nBlack Black Black Black Black Black Brown Red Yellow Orange Pink Pink\nBlack Black Black Black Black Black Blue Orange Orange Orange Orange Red\nBlack Black Black Black Black Black Red Yellow Green Brown Purple Brown\nBlack Black Black Black Black Black Green Yellow Yellow Green Pink Green\nBlack Black Black Black Black Black Brown Brown Purple Pink Pink Blue\nBlack Black Black Black Black Black Pink Yellow Green Blue Pink Purple\nBlack Black Black Black Black Black Green Brown Brown Pink Red Green\nBlack Black Black Black Black Black Pink Pink Pink Red Yellow Orange\nBlack Black Black Black Black Black Yellow Red Brown Green Blue 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```\nYellow Brown Green Red Orange Blue Yellow Brown Green Red Orange Blue\nRed Pink Pink Yellow Blue Blue Red Pink Pink Yellow Blue Blue\nGreen Purple Yellow Blue Brown Green Green Purple Yellow Blue Brown Green\nBrown Red Yellow Orange Pink Pink Brown Red Yellow Orange Pink Pink\nBlue Orange Orange Orange Orange Red Blue Orange Orange Orange Orange Red\nRed Yellow Green Brown Purple Brown Red Yellow Green Brown Purple Brown\nGreen Yellow Yellow Green Pink Green Green Yellow Yellow Green Pink Green\nBrown Brown Purple Pink Pink Blue Brown Brown Purple Pink Pink Blue\nPink Yellow Green Blue Pink Purple Pink Yellow Green Blue Pink Purple\nGreen Brown Brown Pink Red Green Green Brown Brown Pink Red Green\nPink Pink Pink Red Yellow Orange Pink Pink Pink Red Yellow Orange\nYellow Red Brown Green Blue Purple Yellow Red Brown Green Blue Purple\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 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 Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Green Green Blue Blue Blue Red Red Red Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nGreen Green Green Blue Blue Blue Red Red Red Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nGreen Green Green Blue Blue Blue Red Red Red Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nPink Pink Pink Purple Purple Purple Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Red Red Red\nPink Pink Pink Purple Purple Purple Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Red Red Red\nPink Pink Pink Purple Purple Purple Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Red Red Red\nGray Gray Gray Blue Blue Blue Brown Brown Brown Pink Pink Pink Red Red Red Orange Orange Orange\nGray Gray Gray Blue Blue Blue Brown Brown Brown Pink Pink Pink Red Red Red Orange Orange Orange\nGray Gray Gray Blue Blue Blue Brown Brown Brown Pink Pink Pink Red Red Red Orange Orange Orange\nBlue Blue Blue Gray Gray Gray Yellow Yellow Yellow Green Green Green Brown Brown Brown Purple Purple Purple\nBlue Blue Blue Gray Gray Gray Yellow Yellow Yellow Green Green Green Brown Brown Brown Purple Purple Purple\nBlue Blue Blue Gray Gray Gray Yellow Yellow Yellow Green Green Green Brown Brown Brown Purple Purple Purple\nGreen Green Green Blue Blue Blue Orange Orange Orange Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow\nGreen Green Green Blue Blue Blue Orange Orange Orange Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow\nGreen Green Green Blue Blue Blue Orange Orange Orange Pink Pink Pink Gray Gray Gray Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Blue Blue Blue Pink Pink Pink Red Red Red Purple Purple Purple\nYellow Yellow Yellow Gray Gray Gray Blue Blue Blue Pink Pink Pink Red Red Red Purple Purple Purple\nYellow Yellow Yellow Gray Gray Gray Blue Blue Blue Pink Pink Pink Red Red Red Purple Purple Purple\n\nOutput:\nGreen Green Green Blue Blue Blue Red Red Red Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nGreen Green Green Blue Blue Blue Red Red Red Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nGreen Green Green Blue Blue Blue Red Red Red Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Red Red Red Blue Blue Blue Green Green Green\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Red Red Red Blue Blue Blue Green Green Green\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Red Red Red Blue Blue Blue Green Green Green\nGreen Green Green Blue Blue Blue Red Red Red Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nGreen Green Green Blue Blue Blue Red Red Red Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nGreen Green Green Blue Blue Blue Red Red Red Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Red Red Red Blue Blue Blue Green Green Green\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Red Red Red Blue Blue Blue Green Green Green\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Red Red Red Blue Blue Blue Green Green Green\nGreen Green Green Blue Blue Blue Red Red Red Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nGreen Green Green Blue Blue Blue Red Red Red Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nGreen Green Green Blue Blue Blue Red Red Red Yellow Yellow Yellow Brown Brown Brown Gray Gray Gray\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Red Red Red Blue Blue Blue Green Green Green\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Red Red Red Blue Blue Blue Green Green Green\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Red Red Red Blue Blue Blue Green Green Green\n\n\nExample 2\nInput:\nRed Red Red Pink Pink Pink Gray Gray Gray Purple Purple Purple Orange Orange Orange\nRed Red Red Pink Pink Pink Gray Gray Gray Purple Purple Purple Orange Orange Orange\nRed Red Red Pink Pink Pink Gray Gray Gray Purple Purple Purple Orange Orange Orange\nBlue Blue Blue Pink Pink Pink Yellow Yellow Yellow Green Green Green Orange Orange Orange\nBlue Blue Blue Pink Pink Pink Yellow Yellow Yellow Green Green Green Orange Orange Orange\nBlue Blue Blue Pink Pink Pink Yellow Yellow Yellow Green Green Green Orange Orange Orange\nOrange Orange Orange Pink Pink Pink Green Green Green Yellow Yellow Yellow Red Red Red\nOrange Orange Orange Pink Pink Pink Green Green Green Yellow Yellow Yellow Red Red Red\nOrange Orange Orange Pink Pink Pink Green Green Green Yellow Yellow Yellow Red Red Red\nPink Pink Pink Green Green Green Gray Gray Gray Red Red Red Orange Orange Orange\nPink Pink Pink Green Green Green Gray Gray Gray Red Red Red Orange Orange Orange\nPink Pink Pink Green Green Green Gray Gray Gray Red Red Red Orange Orange Orange\nPurple Purple Purple Gray Gray Gray Pink Pink Pink Orange Orange Orange Blue Blue Blue\nPurple Purple Purple Gray Gray Gray Pink Pink Pink Orange Orange Orange Blue Blue Blue\nPurple Purple Purple Gray Gray Gray Pink Pink Pink Orange Orange Orange Blue Blue Blue\n\nOutput:\nRed Red Red Pink Pink Pink Gray Gray Gray Purple Purple Purple Orange Orange Orange\nRed Red Red Pink Pink Pink Gray Gray Gray Purple Purple Purple Orange Orange Orange\nRed Red Red Pink Pink Pink Gray Gray Gray Purple Purple Purple Orange Orange Orange\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink Red Red Red\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink Red Red Red\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink Red Red Red\nRed Red Red Pink Pink Pink Gray Gray Gray Purple Purple Purple Orange Orange Orange\nRed Red Red Pink Pink Pink Gray Gray Gray Purple Purple Purple Orange Orange Orange\nRed Red Red Pink Pink Pink Gray Gray Gray Purple Purple Purple Orange Orange Orange\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink Red Red Red\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink Red Red Red\nOrange Orange Orange Purple Purple Purple Gray Gray Gray Pink Pink Pink Red Red Red\nRed Red Red Pink Pink Pink Gray Gray Gray Purple Purple Purple Orange Orange Orange\nRed Red Red Pink Pink Pink Gray Gray Gray Purple Purple Purple Orange Orange Orange\nRed Red Red Pink Pink Pink Gray Gray Gray Purple Purple Purple Orange Orange Orange\n\n\nExample 3\nInput:\nPurple Purple Purple Green Green Green Red Red Red Gray Gray Gray Orange Orange Orange Blue Blue Blue Pink Pink Pink\nPurple Purple Purple Green Green Green Red Red Red Gray Gray Gray Orange Orange Orange Blue Blue Blue Pink Pink Pink\nPurple Purple Purple Green Green Green Red Red Red Gray Gray Gray Orange Orange Orange Blue Blue Blue Pink Pink Pink\nOrange Orange Orange Pink Pink Pink Gray Gray Gray Red Red Red Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple\nOrange Orange Orange Pink Pink Pink Gray Gray Gray Red Red Red Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple\nOrange Orange Orange Pink Pink Pink Gray Gray Gray Red Red Red Yellow Yellow Yellow Brown Brown Brown Purple Purple Purple\nYellow Yellow Yellow Green Green Green Purple Purple Purple Brown Brown Brown Gray Gray Gray Red Red Red Orange Orange Orange\nYellow Yellow Yellow Green Green Green Purple Purple Purple Brown Brown Brown Gray Gray Gray Red Red Red Orange Orange Orange\nYellow Yellow Yellow Green Green Green Purple Purple Purple Brown Brown Brown Gray Gray Gray Red Red Red Orange Orange Orange\nPink Pink Pink Purple Purple Purple Green Green Green Gray Gray Gray Orange Orange Orange Red Red Red Yellow Yellow Yellow\nPink Pink Pink Purple Purple Purple Green Green Green Gray Gray Gray Orange Orange Orange Red Red Red Yellow Yellow Yellow\nPink Pink Pink Purple Purple Purple Green Green Green Gray Gray Gray Orange Orange Orange Red Red Red Yellow Yellow Yellow\nPurple Purple Purple Brown Brown Brown Red Red Red Gray Gray Gray Green Green Green Orange Orange Orange Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Red Red Red Gray Gray Gray Green Green Green Orange Orange Orange Blue Blue Blue\nPurple Purple Purple Brown Brown Brown Red Red Red Gray Gray Gray Green Green Green Orange Orange Orange Blue Blue Blue\n\nOutput:\nPurple Purple Purple Green Green Green Red Red Red Gray Gray Gray Orange Orange Orange Blue Blue Blue Pink Pink Pink\nPurple Purple Purple Green Green Green Red Red Red Gray Gray Gray Orange Orange Orange Blue Blue Blue Pink Pink Pink\nPurple Purple Purple Green Green Green Red Red Red Gray Gray Gray Orange Orange Orange Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Orange Orange Orange Gray Gray Gray Red Red Red Green Green Green Purple Purple Purple\nPink Pink Pink Blue Blue Blue Orange Orange Orange Gray Gray Gray Red Red Red Green Green Green Purple Purple Purple\nPink Pink Pink Blue Blue Blue Orange Orange Orange Gray Gray Gray Red Red Red Green Green Green Purple Purple Purple\nPurple Purple Purple Green Green Green Red Red Red Gray Gray Gray Orange Orange Orange Blue Blue Blue Pink Pink Pink\nPurple Purple Purple Green Green Green Red Red Red Gray Gray Gray Orange Orange Orange Blue Blue Blue Pink Pink Pink\nPurple Purple Purple Green Green Green Red Red Red Gray Gray Gray Orange Orange Orange Blue Blue Blue Pink Pink Pink\nPink Pink Pink Blue Blue Blue Orange Orange Orange Gray Gray Gray Red Red Red Green Green Green Purple Purple Purple\nPink Pink Pink Blue Blue Blue Orange Orange Orange Gray Gray Gray Red Red Red Green Green Green Purple Purple Purple\nPink Pink Pink Blue Blue Blue Orange Orange Orange Gray Gray Gray Red Red Red Green Green Green Purple Purple Purple\nPurple Purple Purple Green Green Green Red Red Red Gray Gray Gray Orange Orange Orange Blue Blue Blue Pink Pink Pink\nPurple Purple Purple Green Green Green Red Red Red Gray Gray Gray Orange Orange Orange Blue Blue Blue Pink Pink Pink\nPurple Purple Purple Green Green Green Red Red Red Gray Gray Gray Orange Orange Orange Blue Blue Blue Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Purple Purple Purple Green Green Green Orange Orange Orange Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow\nRed Red Red Purple Purple Purple Green Green Green Orange Orange Orange Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow\nRed Red Red Purple Purple Purple Green Green Green Orange Orange Orange Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow\nPink Pink Pink Gray Gray Gray Orange Orange Orange Red Red Red Purple Purple Purple Yellow Yellow Yellow Green Green Green\nPink Pink Pink Gray Gray Gray Orange Orange Orange Red Red Red Purple Purple Purple Yellow Yellow Yellow Green Green Green\nPink Pink Pink Gray Gray Gray Orange Orange Orange Red Red Red Purple Purple Purple Yellow Yellow Yellow Green Green Green\nPink Pink Pink Orange Orange Orange Blue Blue Blue Green Green Green Gray Gray Gray Yellow Yellow Yellow Red Red Red\nPink Pink Pink Orange Orange Orange Blue Blue Blue Green Green Green Gray Gray Gray Yellow Yellow Yellow Red Red Red\nPink Pink Pink Orange Orange Orange Blue Blue Blue Green Green Green Gray Gray Gray Yellow Yellow Yellow Red Red Red\nRed Red Red Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Brown Brown Brown Purple Purple Purple Green Green Green\nRed Red Red Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Brown Brown Brown Purple Purple Purple Green Green Green\nRed Red Red Yellow Yellow Yellow Gray Gray Gray Blue Blue Blue Brown Brown Brown Purple Purple Purple Green Green Green\nPurple Purple Purple Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Green Green Green Brown Brown Brown Gray Gray Gray\nPurple Purple Purple Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Green Green Green Brown Brown Brown Gray Gray Gray\nPurple Purple Purple Blue Blue Blue Orange Orange Orange Yellow Yellow Yellow Green Green Green Brown Brown Brown Gray Gray Gray\nBrown Brown Brown Green Green Green Gray Gray Gray Pink Pink Pink Red Red Red Purple Purple Purple Blue Blue Blue\nBrown Brown Brown Green Green Green Gray Gray Gray Pink Pink Pink Red Red Red Purple Purple Purple Blue Blue Blue\nBrown Brown Brown Green Green Green Gray Gray Gray Pink Pink Pink Red Red Red Purple Purple Purple Blue Blue Blue\nBrown Brown Brown Blue Blue Blue Orange Orange Orange Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Red Red Red\nBrown Brown Brown Blue Blue Blue Orange Orange Orange Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Red Red Red\nBrown Brown Brown Blue Blue Blue Orange Orange Orange Purple Purple Purple Pink Pink Pink Yellow Yellow Yellow Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Purple Purple Purple Green Green Green Orange Orange Orange Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow\nRed Red Red Purple Purple Purple Green Green Green Orange Orange Orange Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow\nRed Red Red Purple Purple Purple Green Green Green Orange Orange Orange Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Orange Orange Orange Green Green Green Purple Purple Purple Red Red Red\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Orange Orange Orange Green Green Green Purple Purple Purple Red Red Red\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Orange Orange Orange Green Green Green Purple Purple Purple Red Red Red\nRed Red Red Purple Purple Purple Green Green Green Orange Orange Orange Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow\nRed Red Red Purple Purple Purple Green Green Green Orange Orange Orange Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow\nRed Red Red Purple Purple Purple Green Green Green Orange Orange Orange Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Orange Orange Orange Green Green Green Purple Purple Purple Red Red Red\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Orange Orange Orange Green Green Green Purple Purple Purple Red Red Red\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Orange Orange Orange Green Green Green Purple Purple Purple Red Red Red\nRed Red Red Purple Purple Purple Green Green Green Orange Orange Orange Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow\nRed Red Red Purple Purple Purple Green Green Green Orange Orange Orange Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow\nRed Red Red Purple Purple Purple Green Green Green Orange Orange Orange Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Orange Orange Orange Green Green Green Purple Purple Purple Red Red Red\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Orange Orange Orange Green Green Green Purple Purple Purple Red Red Red\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Orange Orange Orange Green Green Green Purple Purple Purple Red Red Red\nRed Red Red Purple Purple Purple Green Green Green Orange Orange Orange Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow\nRed Red Red Purple Purple Purple Green Green Green Orange Orange Orange Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow\nRed Red Red Purple Purple Purple Green Green Green Orange Orange Orange Blue Blue Blue Brown Brown Brown Yellow Yellow Yellow\n```",
"role": "assistant"
}
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Blue Black Blue Black Black Black Blue Black Black Black Black Black\nBlue Black Black Black Black Blue Black Black Black Black Black Black Black\nBlue Black Black Black Black Blue Black Blue Black Black Black Black Black\nBlue Blue Black Black Black Blue Black Blue Blue Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue\nBlack Black Blue Black Black Black Blue Black Blue Black Black Black Blue\nBlack Black Blue Black Black Black Blue Black Blue Black Black Black Blue\nBlack Black Blue Black Black Black Blue Black Blue Black Black Black Blue\nBlack Black Blue Black Black Black Blue Black Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Blue Black Blue Black Black Black Blue Black Black Black Black Black\nBlue Black Black Black Black Blue Black Black Black Black Black Black Black\nBlue Black Black Black Black Blue Black Blue Black Black Black Black Black\nBlue Blue Black Black Black Blue Black Blue Blue Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Purple Purple Purple Purple Purple\nBlack Black Purple Black Black Black Purple Black Purple Black Black Black Purple\nBlack Black Purple Black Black Black Purple Black Purple Black Black Black Purple\nBlack Black Purple Black Black Black Purple Black Purple Black Black Black Purple\nBlack Black Purple Black Black Black Purple Black Purple Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple Purple 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 Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Black Blue Black Blue\nBlack Black Black Blue Black Black Black Blue Black Blue Blue Blue\nBlack Black Black Blue Black Black Black Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Black Black Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Purple Purple Purple Purple Purple Black Purple Black Purple\nBlack Black Black Purple Black Black Black Purple Black Purple Purple Purple\nBlack Black Black Purple Black Black Black Purple Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Black Black Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue 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 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 Black Blue Black Blue Blue Black Black Black Black\nBlack Black Blue Black Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Purple Black Purple Black Black Black Black Black Black Black\nBlack Black Purple Black Purple Black Blue Blue Black Black Black Black\nBlack Black Purple Black Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Black Blue Blue Blue Blue Black Blue Black Blue\nBlack Blue Black Black Blue Black Blue Black Black Blue Black Blue Black Black\nBlack Blue Blue Blue Blue Black Blue Blue Blue Blue Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black Blue Black\nBlack Blue Black Black Black Black Blue Black Black Blue Black Black Black Black\nBlack Blue Black Black Black Black Blue Black Black Black Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Purple Purple Purple Purple Black Purple Purple Purple Purple Black Blue Black Blue\nBlack Purple Black Black Purple Black Purple Black Black Purple Black Blue Black Black\nBlack Purple Purple Purple Purple Black Purple Purple Purple Purple Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Purple Purple Purple Purple Purple Purple Black Black Black Black Black Blue Black\nBlack Purple Black Black Black Black Purple Black Black Blue Black Black Black Black\nBlack Purple Black Black Black Black Purple Black Black Black Blue Black Black Black\nBlack Purple Purple Purple Purple Purple Purple 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 Gray Black Black Black Black Black Black Black Blue Black\nBlack Gray Gray Gray Black Black Black Black Black Blue Blue Blue\nBlack Black Gray Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Yellow Black Black Black Black Black\n\nOutput:\nBlack Yellow Black Yellow Black\nYellow Black Yellow Black Yellow\nBlack Yellow Yellow Yellow Black\nYellow Black Yellow Black Yellow\nBlack Yellow Black Yellow Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Red Black\nBlack Black Black Yellow Black Yellow Black Black Black Red Red Red\nBlack Black Yellow Black Yellow Black Yellow Black Black Black Red Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray Black\n\nOutput:\nBlack Yellow Black Yellow Black\nYellow Black Yellow Black Yellow\nBlack Yellow Yellow Yellow Black\nYellow Black Yellow Black Yellow\nBlack Yellow Black Yellow Black\n\n\nExample 3\nInput:\nBlack Red Black Black Black Black Black Black Black Black Green Black\nRed Red Red Black Black Black Black Black Black Green Green Green\nBlack Red Black Black Black Yellow Black Yellow Black Black Green Black\nBlack Black Black Black Yellow Black Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Black Yellow Black\nYellow Black Yellow Black Yellow\nBlack Yellow Yellow Yellow Black\nYellow Black Yellow Black Yellow\nBlack Yellow Black Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black\nBlack Red Black Black Black Black Pink Pink Pink Black Black Black\nRed Red Red Black Black Black Black Pink Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Green Black Black Black Yellow Black Yellow Black Black Black Black\nGreen Green Green Black Yellow Black Yellow Black Yellow Black Black Black\nBlack Green Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Black 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```\nBlack Yellow Black Yellow Black\nYellow Black Yellow Black Yellow\nBlack Yellow Yellow Yellow Black\nYellow Black Yellow Black Yellow\nBlack Yellow Black Yellow Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Purple Orange Purple Purple Black Pink Orange Purple Purple Pink Gray\nPink Black Gray Black Orange Pink Pink Black Orange Black Gray Purple\nOrange Black Orange Black Gray Purple Purple Purple Purple Orange Purple Pink\nPurple Purple Pink Black Gray Gray Black Purple Purple Black Gray Black\nBlack Pink Gray Gray Gray Purple Orange Pink Orange Black Black Purple\nBlack Pink Purple Pink Gray Orange Orange Pink Purple Orange Gray Black\nPurple Gray Gray Pink Pink Pink Orange Pink Purple Purple Orange Pink\nOrange Gray Purple Orange Orange Black Black Orange Purple Orange Orange Gray\n\nOutput:\nGray Orange Pink Orange Orange Gray Purple Pink Orange Orange Purple Black\nPurple Gray Black Gray Pink Purple Purple Gray Pink Gray Black Orange\nPink Gray Pink Gray Black Orange Orange Orange Orange Pink Orange Purple\nOrange Orange Purple Gray Black Black Gray Orange Orange Gray Black Gray\nGray Purple Black Black Black Orange Pink Purple Pink Gray Gray Orange\nGray Purple Orange Purple Black Pink Pink Purple Orange Pink Black Gray\nOrange Black Black Purple Purple Purple Pink Purple Orange Orange Pink Purple\nPink Black Orange Pink Pink Gray Gray Pink Orange Pink Pink Black\n\n\nExample 2\nInput:\nPink Black Orange Purple Pink Purple Gray Orange Gray Purple\nPurple Orange Black Orange Black Orange Pink Orange Pink Black\nPurple Purple Purple Orange Orange Orange Gray Gray Orange Black\nGray Orange Gray Black Gray Gray Purple Purple Gray Pink\nPink Black Gray Black Pink Orange Gray Pink Purple Orange\nOrange Pink Gray Black Pink Gray Purple Pink Gray Black\nPink Gray Pink Pink Black Orange Orange Purple Black Black\n\nOutput:\nPurple Gray Pink Orange Purple Orange Black Pink Black Orange\nOrange Pink Gray Pink Gray Pink Purple Pink Purple Gray\nOrange Orange Orange Pink Pink Pink Black Black Pink Gray\nBlack Pink Black Gray Black Black Orange Orange Black Purple\nPurple Gray Black Gray Purple Pink Black Purple Orange Pink\nPink Purple Black Gray Purple Black Orange Purple Black Gray\nPurple Black Purple Purple Gray Pink Pink Orange Gray Gray\n\n\nExample 3\nInput:\nBlack Orange Purple Black Pink Pink Purple Gray Gray Orange Black\nOrange Orange Orange Purple Black Purple Purple Gray Orange Pink Pink\nBlack Gray Black Pink Pink Gray Gray Pink Black Gray Purple\nPink Black Purple Black Orange Purple Orange Gray Black Orange Pink\nBlack Purple Purple Orange Pink Black Pink Black Orange Gray Orange\nBlack Orange Gray Pink Gray Orange Purple Gray Purple Orange Black\nBlack Purple Orange Black Purple Purple Orange Orange Gray Orange Gray\n\nOutput:\nGray Pink Orange Gray Purple Purple Orange Black Black Pink Gray\nPink Pink Pink Orange Gray Orange Orange Black Pink Purple Purple\nGray Black Gray Purple Purple Black Black Purple Gray Black Orange\nPurple Gray Orange Gray Pink Orange Pink Black Gray Pink Purple\nGray Orange Orange Pink Purple Gray Purple Gray Pink Black Pink\nGray Pink Black Purple Black Pink Orange Black Orange Pink Gray\nGray Orange Pink Gray Orange Orange Pink Pink Black Pink Black\n\n\nHere is the input grid for the test example:\nInput:\nOrange Purple Gray Black Orange Purple Black Pink Black\nGray Purple Orange Orange Gray Orange Black Black Orange\nPink Pink Black Pink Orange Black Gray Pink Orange\nPurple Black Pink Black Purple Gray Orange Pink Orange\nGray Pink Purple Orange Gray Purple Orange Purple Black\nOrange Gray Black Orange Gray Orange Orange Pink Pink\nPink Orange Pink Purple Pink Black Black Gray Black\nPink Purple Gray Black Orange Black Purple Gray Pink\nBlack Gray Pink Purple Gray Pink Purple Purple Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Orange Black Gray Pink Orange Gray Purple Gray\nBlack Orange Pink Pink Black Pink Gray Gray Pink\nPurple Purple Gray Purple Pink Gray Black Purple Pink\nOrange Gray Purple Gray Orange Black Pink Purple Pink\nBlack Purple Orange Pink Black Orange Pink Orange Gray\nPink Black Gray Pink Black Pink Pink Purple Purple\nPurple Pink Purple Orange Purple Gray Gray Black Gray\nPurple Orange Black Gray Pink Gray Orange Black Purple\nGray Black Purple Orange Black Purple Orange Orange 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:\nBrown Black Black Brown Black Brown Black Black Black Black Black Brown Black\nBlack Black Black Brown Black Brown Black Brown Black Black Black Brown Black\nBlack Black Brown Black Brown Brown Black Brown Brown Brown Black Brown Brown\nBlack Black Brown Black Black Brown Black Black Black Brown Brown Black Black\nBlack Black Brown Black Black Black Brown Black Brown Black Black Black Black\nBrown Black Brown Brown Black Brown Brown Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Brown Black Black\nBlack Black Brown Black Black Black Black Brown Black Black Brown Black Brown\nBlack Black Black Black Black Brown Black Black Brown Black Brown Brown Black\nBlack 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\nBlack Black Black Black Black Brown Black Black Black Brown Brown Black Brown\nBlack Black Black Brown Black Black Black Black Black Black Black Black Gray\n\nOutput:\nGray Black Black Gray Black Gray Black Black Black Black Black Gray Black\nBlack Black Black Gray Black Gray Black Gray Black Black Black Gray Black\nBlack Black Gray Black Gray Gray Black Gray Gray Gray Black Gray Gray\nBlack Black Gray Black Black Gray Black Black Black Gray Gray Black Black\nBlack Black Gray Black Black Black Gray Black Gray Black Black Black Black\nGray Black Gray Gray Black Gray Gray Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Gray Black Black\nBlack Black Gray Black Black Black Black Gray Black Black Gray Black Gray\nBlack Black Black Black Black Gray Black Black Gray Black Gray Gray Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Gray Gray Black Gray\nBlack Black Black Gray Black Black Black Black Black Black Black Black Gray\n\n\nExample 2\nInput:\nGreen Black Black Green Green Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Green Black Green Black Black Black\nBlack Black Black Green Black Black Black Black Black Green Black Black\nGreen Black Black Green Black Black Black Green Black Green Black Black\nBlack Black Black Green Black Black Black Green Green Green Black Black\nBlack Black Black Green Black Green Black Green Black Green Black Green\nBlack Black Black Green Black Green Green Black Green Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Green Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Green Black Black Black Purple\n\nOutput:\nPurple Black Black Purple Purple Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Purple Black Purple Black Black Black\nBlack Black Black Purple Black Black Black Black Black Purple Black Black\nPurple Black Black Purple Black Black Black Purple Black Purple Black Black\nBlack Black Black Purple Black Black Black Purple Purple Purple Black Black\nBlack Black Black Purple Black Purple Black Purple Black Purple Black Purple\nBlack Black Black Purple Black Purple Purple Black Purple Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Purple Black Black Purple Black Black Black Black Black\nBlack Black Black Black Purple Black Black Purple Black Black Black Purple\n\n\nExample 3\nInput:\nGray Black Black Black Black Black Gray Black Black Black Black Gray Black Black\nGray Black Black Black Black Black Black Gray Gray Black Gray Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Gray Black Gray Gray Black Black Black Black Black Black Gray\nGray Black Gray Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray\nGray Black Black Black Gray Gray Black Black Black Gray Black Gray Black Gray\nBlack Black Black Gray Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Gray Black Black Gray Gray Black Gray\nGray Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Gray Black Black Gray Pink\n\nOutput:\nPink Black Black Black Black Black Pink Black Black Black Black Pink Black Black\nPink Black Black Black Black Black Black Pink Pink Black Pink Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Pink Black Pink Pink Black Black Black Black Black Black Pink\nPink Black Pink Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink\nPink Black Black Black Pink Pink Black Black Black Pink Black Pink Black Pink\nBlack Black Black Pink Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Pink Black Black Pink Pink Black Pink\nPink Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Pink Black Black Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Black Black Black Black Red Black Red Red Black Black Red Black\nRed Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Red Red Black Black Black Black Black Black Red\nBlack Black Black Red Black Red Black Black Black Red Red Red Red Red\nRed Black Black Black Red Black Red Black Black Black Black Black Red Black\nBlack Red Red Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Red Red Black Black Black Red Red Red Black\nRed Red Black Black Black Black Black Black Black Red Black Black Red Red\nRed Black Red Black Black Red Red Red Black Black Black Black Black Red\nRed Red Black Red Red Red Black Black Black Black Red Black Black Black\nRed Red Black Red Red Black Black Black Black Black Black Black Black Black\nRed Black Black Red Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Red Black Black Black Black Red Red Black Red Red Red 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```\nGray Black Black Black Black Black Gray Black Gray Gray Black Black Gray Black\nGray Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Gray Gray Black Black Black Black Black Black Gray\nBlack Black Black Gray Black Gray Black Black Black Gray Gray Gray Gray Gray\nGray Black Black Black Gray Black Gray Black Black Black Black Black Gray Black\nBlack Gray Gray Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Gray Gray Black Black Black Gray Gray Gray Black\nGray Gray Black Black Black Black Black Black Black Gray Black Black Gray Gray\nGray Black Gray Black Black Gray Gray Gray Black Black Black Black Black Gray\nGray Gray Black Gray Gray Gray Black Black Black Black Gray Black Black Black\nGray Gray Black Gray Gray Black Black Black Black Black Black Black Black Black\nGray Black Black Gray Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Black Black Black Black Gray Gray Black Gray Gray Gray Black Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Blue Black Black Blue Blue Black Black Black Blue Black Black Black Black Black Black Blue Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Gray Gray Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Gray Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Blue Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Blue Black Black Black Black Black Black Blue Black Black Blue Black\nBlack Black Black Black Black Blue Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Blue Black Black Black Black Black Blue Black Black Black Black Black\nBlack Blue Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Blue Black Black Blue\nBlack Black Black Black Black Blue Black Black Blue Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Black Black Blue Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Gray Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Red Black Red\nBlack Black Black Gray Gray Gray Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Red Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Gray Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Red Black Red\nBlack Black Black Gray Gray Gray Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Gray Gray Gray Black Black Red Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Red Black Gray Gray Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Red Black Black Gray Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Red Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Red Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Red Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Red Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Red Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Red\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Pink Pink Pink Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Pink Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Red Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Red Black Black Black Black Black Black Black Black Black Red Black Red Black Black Black\nBlack Red Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black Black Red\nBlack Red Red Black Red Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Red Red Black Red Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Red 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 Green Black Black Black Yellow Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Green Black Black Green Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Green Black Black Yellow Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black Black Black Black Black Black Green Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Green Black Black Black Yellow Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Green Black Black Green Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Yellow Yellow Yellow Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Green Black Yellow Yellow Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Green Black Black Yellow Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Green Black Black Green Black Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Green Black Black Black Black Green Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Green Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Green Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Green Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black\nBlue Blue Black Black Blue Blue 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\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Black Black Black Black\nBlack Red Red Red Red Red Red Black Black Black Black\nBlack Blue Blue Black Red Red Red Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black\nRed Red Black Red Red Red Black Black Black Black Black\nRed Red Black Red Red Red Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black 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 Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black\nBlack 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\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 Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Red Red Red Black Black Black Black Black Red Red Red Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Blue Black Red Red Red Black Black Black Black\nBlack Black Black Black Blue Blue Black Red Red Red Black Black Black Black\nRed Red Red Black Black Black Black Red Red Red Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Black Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Black Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red 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 Blue Blue Black Black Blue Blue\nBlack Black Black Black Black Black Blue Blue Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Black\nBlue Blue Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Red Red Red Black Red Red Red\nBlack Black Blue Blue Black Red Red Red Black Red Blue Blue\nBlack Black Blue Blue Black Red Red Red Black Red Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Red Red Red Black\nRed Red Black Black Black Black Black Black Red Red Red Black\nRed Red Red Red Red Black Black Black Red Red Red Black\nBlack Black Red Red Red Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Black Black Black Black Black Black Orange Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Orange\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Yellow Black Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Orange Black Black Black Black Orange Black Black Black Black Red\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Orange\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Pink Black Black Pink Black Black Blue Black Black Black\nBlack Black Black Black Brown Black Gray Black Black Gray Black Brown Black Black Black Black\nRed Black Yellow Black Black Pink Black Black Black Black Pink Black Black Yellow Black Red\n\n\nExample 3\nInput:\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Brown 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 Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Pink Black Black Black Black Black Pink Black Black Black Black\nBlack Brown Black Green Black Black Black Black Black Black Black Green Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Brown Black Black Black Black Black Brown Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Red 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\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Green Black Green 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 Blue Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Brown Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlack Black Black Black Black\nBlue Blue Black Black Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Black Black Blue\nBlack Black Black Black Black\nBlue Blue Blue Blue Blue\nBlue Black Black Blue Blue\nBlue Black Black Blue Blue\nBlue Black Black Blue Blue\nBlue Blue Blue Blue Blue\nBlack Black Black Black Black\nBlue Blue Blue Blue Blue\nBlue Blue Black Black Blue\nBlue Blue Black Black Blue\nBlue Blue Black Black Blue\nBlue Blue Blue Blue Blue\n\nOutput:\nPink Pink Pink Pink\nGray Gray Gray Gray\nYellow Yellow Yellow Yellow\nPurple Purple Purple Purple\n\n\nExample 2\nInput:\nBlue Blue Black Black Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Black Black Blue\nBlack Black Black Black Black\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlack Black Black Black Black\nBlue Blue Blue Blue Blue\nBlue Blue Black Black Blue\nBlue Blue Black Black Blue\nBlue Blue Black Black Blue\nBlue Blue Blue Blue Blue\nBlack Black Black Black Black\nBlue Blue Blue Blue Blue\nBlue Black Black Blue Blue\nBlue Black Black Blue Blue\nBlue Black Black Blue Blue\nBlue Blue Blue Blue Blue\n\nOutput:\nGray Gray Gray Gray\nPink Pink Pink Pink\nPurple Purple Purple Purple\nYellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue\nBlue Blue Black Black Blue\nBlue Blue Black Black Blue\nBlue Blue Black Black Blue\nBlue Blue Blue Blue Blue\nBlack Black Black Black Black\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlack Black Black Black Black\nBlue Blue Black Black Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Black Black Blue\nBlack Black Black Black Black\nBlue Blue Blue Blue Blue\nBlue Black Black Blue Blue\nBlue Black Black Blue Blue\nBlue Black Black Blue Blue\nBlue Blue Blue Blue Blue\n\nOutput:\nPurple Purple Purple Purple\nPink Pink Pink Pink\nGray Gray Gray Gray\nYellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue\nBlue Black Black Blue Blue\nBlue Black Black Blue Blue\nBlue Black Black Blue Blue\nBlue Blue Blue Blue Blue\nBlack Black Black Black Black\nBlue Blue Blue Blue Blue\nBlue Blue Black Black Blue\nBlue Blue Black Black Blue\nBlue Blue Black Black Blue\nBlue Blue Blue Blue Blue\nBlack Black Black Black Black\nBlue Blue Black Black Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Black Black Blue\nBlack Black Black Black Black\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input 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\nPurple Purple Purple Purple\nGray Gray Gray Gray\nPink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black Black Black Black Yellow Black Black\nYellow Black Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black Black Black\nBlack Yellow Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Yellow Black Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Yellow Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Yellow Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Yellow Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Yellow Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black Black\nYellow Black Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Yellow Black\n\n\nExample 2\nInput:\nBlack Black Black Black Pink 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:\nPink Pink Pink Pink Pink Pink Pink\nBlack Black Black Pink Pink Pink Black\nBlack Black Pink Black Pink Black Pink\nBlack Pink Black Black Pink Black Black\nPink Black Black Black Pink Black Black\nBlack Black Black Black Pink Black Black\nBlack Black Black Black Pink 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 Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Orange Black Orange\nBlack Black Black Black Black Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Orange Orange\nBlack Black Black Black Orange Black Orange\nBlack Black Black Orange Black Black Orange\nBlack Black Orange Black Black Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Gray Black Black Gray Black Black Gray Black\nBlack Black Gray Black Gray Black Gray Black Black\nBlack Black Black Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Black Black Black\nBlack Black Gray Black Gray Black Gray Black Black\nBlack Gray Black Black Gray Black Black Gray Black\nGray Black Black Black Gray Black Black Black Gray\nBlack Black Black Black Gray Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Brown Brown Brown Brown\nBrown Black Black Yellow Black Black Brown\nBrown Black Yellow Yellow Yellow Black Brown\nBrown Yellow Yellow Yellow Yellow Yellow Brown\nBrown Black Yellow Yellow Yellow Black Brown\nBrown Black Black Yellow Black Black Brown\nBrown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black\nBlack Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Black\nBlack Black Black Yellow Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange\nOrange Black Green Black Green Black Orange\nOrange Green Green Black Green Green Orange\nOrange Green Green Green Green Green Orange\nOrange Green Green Green Green Green Orange\nOrange Black Green Green Green Black Orange\nOrange Orange Orange Orange Orange Orange Orange\n\nOutput:\nBlack Black Black Black Black\nBlack Green Green Green Black\nBlack Green Green Green Black\nBlack Black Green Green Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nPurple Purple Purple Purple Purple Purple Purple\nPurple Green Green Black Black Black Purple\nPurple Green Green Black Black Black Purple\nPurple Green Green Green Green Green Purple\nPurple Green Green Green Green Green Purple\nPurple Green Black Black Black Black Purple\nPurple Purple Purple Purple Purple Purple Purple\n\nOutput:\nBlack Black Black Black Black\nBlack Green Green Green Black\nBlack Green Green Green Black\nBlack Green Black Black Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink\nPink Gray Black Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Pink\nPink Black Black Black Gray Gray Pink\nPink Gray Gray Gray Gray Gray Pink\nPink Gray Black Gray Gray Gray Pink\nPink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Gray Gray Gray Black\nBlack Gray Black Gray 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 Brown Black Purple Black Black Green\nPink Pink Brown Pink Purple Pink Pink Green\nBlack Black Brown Black Purple Black Black Green\nBlack Black Brown Black Purple Black Black Green\nBlack Black Brown Black Purple Black Black Green\nOrange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Brown Black Purple Black Black Green\nBlack Black Brown Black Purple Black Black Green\nBlack Black Brown Black Purple Black Black Green\nBlack Black Brown Black Purple Black Black Green\nBlack Black Brown Black Purple Black Black Green\nBlack Black Brown Black Purple Black Black Green\n\nOutput:\nBlack Black Green Black Green Black Black Green\nGreen Green Green Green Green Green Green Green\nBlack Black Green Black Green Black Black Green\nBlack Black Green Black Green Black Black Green\nBlack Black Green Black Green Black Black Green\nGreen Green Green Green Green Green Green Green\nBlack Black Green Black Green Black Black Green\nBlack Black Green Black Green Black Black Green\nBlack Black Green Black Green Black Black Green\nBlack Black Green Black Green Black Black Green\nBlack Black Green Black Green Black Black Green\nBlack Black Green Black Green Black Black Green\n\n\nExample 2\nInput:\nPink Black Black Black Red Brown Black\nPink Black Black Black Red Brown Black\nBlue Blue Blue Blue Blue Blue Blue\nPink Black Black Black Red Brown Black\nPink Black Black Black Red Brown Black\nPink Black Black Black Red Brown Black\nPink Black Black Black Red Brown Black\nPink Black Black Black Red Brown Black\nPink Blue Blue Blue Red Brown Blue\nPink Black Black Black Red Brown Black\n\nOutput:\nRed Black Black Black Red Red Black\nRed Black Black Black Red Red Black\nBlue Blue Blue Blue Red Blue Blue\nRed Black Black Black Red Red Black\nRed Black Black Black Red Red Black\nRed Black Black Black Red Red Black\nRed Black Black Black Red Red Black\nRed Black Black Black Red Red Black\nRed Red Red Red Red Red Red\nRed Black Black Black Red Red Black\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Orange Orange Orange\nGreen Red Red Red Red Purple Red\nGreen Black Black Yellow Black Purple Black\nBlue Blue Blue Blue Blue Blue Blue\nGreen Black Black Yellow Black Purple Black\nGreen Black Black Yellow Black Purple Black\nOrange Orange Orange Orange Orange Orange Orange\nGreen Black Black Yellow Black Purple Black\nGreen Black Black Yellow Black Purple Black\nGreen Black Black Yellow Black Purple Black\nGreen Black Black Yellow Black Purple Black\n\nOutput:\nBlue Red Red Red Red Blue Red\nRed Red Red Red Red Red Red\nBlue Black Black Red Black Blue Black\nBlue Red Red Red Red Blue Red\nBlue Black Black Red Black Blue Black\nBlue Black Black Red Black Blue Black\nBlue Red Red Red Red Blue Red\nBlue Black Black Red Black Blue Black\nBlue Black Black Red Black Blue Black\nBlue Black Black Red Black Blue Black\nBlue Black Black Red Black Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Pink\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Brown Brown Pink\nBlack Black Black Black Black Black Black Black Pink\nGray Gray Gray Gray Gray Gray Gray Gray Pink\nBlack Black Black Black Black Black Black Black Pink\nBrown Brown Brown Brown Brown Brown Brown Brown Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Green\nGreen Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Green\nGreen Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Orange 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 Orange Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Orange Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Gray 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 Gray Black Black Black\nBlack Black Black Gray Black Black Black\nBlack Black Black Gray Black Black Black\nBlack Black Black Gray Black Black Black\nBlack Black Black Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray\nBlack Black Black Gray Black Black Black\nBlack Black Black Gray Black Black Black\nBlack Black Black Gray Black Black Black\nBlack Black Black Gray Black Black Black\nBlack Black Black Gray Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black 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:\nRed Green Red Green Red Green Red Green\nGreen Red Green Red Green Red Green Red\nRed Green Red Green Red Green Red Green\nGreen Red Green Red Green Red Green Red\nRed Green Red Green Red Green Red Green\nGreen Red Green Red Green Red Green Red\nRed Green Red Green Red Green Red Green\nGreen Red Green Red Green Red Green Red\nRed Green Red Green Red Green Red Green\nGreen Red Green Red Green Red Green Red\n\nOutput:\nGreen Red Green Red Green Red Green Red\nRed Green Red Green Red Green Red Green\nGreen Red Green Red Green Red Green Red\nRed Green Red Green Red Green Red Green\nGreen Red Green Red Green Red Green Red\nRed Green Red Green Red Green Red Green\nGreen Red Green Red Green Red Green Red\nRed Green Red Green Red Green Red Green\nGreen Red Green Red Green Red Green Red\nRed Green Red Green Red Green Red Green\n\n\nExample 2\nInput:\nGreen Red Green Red Green Red Green Red Green Red\nRed Green Red Green Red Green Red Green Red Green\nGreen Red Green Red Green Red Green Red Green Red\nRed Green Red Green Red Green Red Green Red Green\nGreen Red Green Red Green Red Green Red Green Red\nRed Green Red Green Red Green Red Green Red Green\nGreen Red Green Red Green Red Green Red Green Red\n\nOutput:\nRed Green Red Green Red Green Red Green Red Green\nGreen Red Green Red Green Red Green Red Green Red\nRed Green Red Green Red Green Red Green Red Green\nGreen Red Green Red Green Red Green Red Green Red\nRed Green Red Green Red Green Red Green Red Green\nGreen Red Green Red Green Red Green Red Green Red\nRed Green Red Green Red Green Red Green Red Green\n\n\nExample 3\nInput:\nRed Green Red Green Red Green Red Green Red\nGreen Red Green Red Green Red Green Red Green\nRed Green Red Green Red Green Red Green Red\nGreen Red Green Red Green Red Green Red Green\nRed Green Red Green Red Green Red Green Red\nGreen Red Green Red Green Red Green Red Green\nRed Green Red Green Red Green Red Green Red\n\nOutput:\nGreen Red Green Red Green Red Green Red Green\nRed Green Red Green Red Green Red Green Red\nGreen Red Green Red Green Red Green Red Green\nRed Green Red Green Red Green Red Green Red\nGreen Red Green Red Green Red Green Red Green\nRed Green Red Green Red Green Red Green Red\nGreen Red Green Red Green Red Green Red Green\n\n\nHere is the input grid for the test example:\nInput:\nRed Green Red Green Red Green Red Green Red\nGreen Red Green Red Green Red Green Red Green\nRed Green Red Green Red Green Red Green Red\nGreen Red Green Red Green Red Green Red Green\nRed Green Red Green Red Green Red Green Red\nGreen Red Green Red Green Red Green Red Green\nRed Green Red Green Red Green Red Green Red\nGreen Red Green Red Green Red Green Red Green\nRed Green Red Green Red Green Red Green Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Red Green Red Green Red Green Red Green\nRed Green Red Green Red Green Red Green Red\nGreen Red Green Red Green Red Green Red Green\nRed Green Red Green Red Green Red Green Red\nGreen Red Green Red Green Red Green Red Green\nRed Green Red Green Red Green Red Green Red\nGreen Red Green Red Green Red Green Red Green\nRed Green Red Green Red Green Red Green Red\nGreen Red Green Red Green Red Green Red Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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:\nOrange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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:\nOrange Orange Black Orange Black Black Orange Orange Black Orange Orange Black Black Black Black Orange Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Orange Orange Orange Black Black Orange Black\nOrange Orange Orange Black Black Black Black Orange Black Black Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Black Black Orange Orange Black Orange Black Orange Orange Orange Black Orange Black Orange\nOrange Black Orange Orange Black Orange Black Orange Orange Black Black Black Black Orange Orange Orange Orange\nOrange Black Orange Black Orange Orange Orange Black Black Orange Orange Orange Orange Black Orange Black Orange\nOrange Black Orange Orange Orange Orange Orange Black Black Orange Orange Black Orange Orange Orange Orange Orange\nOrange Black Orange Black Black Orange Orange Black Orange Orange Black Orange Orange Orange Orange Black Black\nBlack Orange Black Orange Orange Black Black Black Orange Orange Orange Black Black Orange Orange Black Orange\nOrange Orange Black Black Orange Orange Orange Black Orange Orange Orange Black Orange Black Black Orange Orange\nOrange Orange Black Orange Black Orange Black Orange Black Orange Orange Orange Orange Black Black Black Black\nBlack Orange Black Orange Orange Black Orange Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Black Black Black Black Orange Black Black Black Black Black Orange Black Orange Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\n\n\nExample 2\nInput:\nOrange Orange Black Orange Orange Black Black Orange Orange Orange Black Orange Orange Black Black\nOrange Orange Orange Orange Black Orange Orange Black Orange Black Black Orange Black Orange Black\nOrange Orange Orange Black Orange Black Orange Orange Black Black Orange Orange Black Orange Black\nBlack Black Black Black Orange Orange Black Black Orange Orange Orange Orange Black Orange Orange\nOrange Black Black Orange Black Black Black Orange Orange Orange Orange Black Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Black Black Orange Orange Black Black Black Orange Black\nOrange Black Black Black Orange Black Orange Black Black Orange Black Orange Orange Orange Orange\nOrange Orange Black Black Black Orange Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Orange Orange Black Black Orange Orange Orange Black Orange Orange Black Orange Black Orange\nOrange Orange Orange Orange Black Orange Black Black Black Orange Orange Orange Black Black Orange\nBlack Black Black Orange Orange Orange Black Orange Black Black Orange Black Orange Black Orange\nOrange Orange Black Black Orange Black Orange Orange Black Orange Orange Orange Black Orange Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Black Black Gray Gray Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Gray Black Gray Black Black Black Black Gray Gray Black Gray\nGray Gray Black Gray Gray Gray Gray Gray Gray Black Gray Black Gray Black Gray Black\nBlack Gray Gray Gray Black Black Black Gray Gray Black Black Black Gray Black Black Gray\nGray Gray Black Gray Black Black Black Black Black Gray Black Black Gray Gray Gray Black\nGray Black Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Black Black Gray Gray\nGray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Black Black Gray Gray\nGray Gray Black Gray Gray Gray Black Gray Black Gray Gray Black Black Black Black Gray\nBlack Gray Gray Gray Black Gray Black Gray Gray Gray Black Black Gray Black Black Gray\nGray Gray Gray Black Gray Gray Black Gray Gray Black Gray Black Gray Gray Gray Black\nBlack Black Gray Black Gray Black Black Gray Gray Black Gray Gray Black Gray Black Gray\nGray Black Gray Gray Gray Black Gray Gray Black Gray Gray Gray Gray Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nPink Black Pink Pink Pink Pink Black Black Black Pink Black Pink Black Black\nBlack Black Pink Black Pink Black Black Pink Black Pink Pink Pink Black Pink\nPink Black Black Pink Black Pink Pink Black Pink Pink Pink Pink Pink Black\nBlack Black Pink Black Pink Pink Black Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Black Black Pink Black Pink Pink Pink Pink Black Pink\nPink Pink Black Pink Black Pink Pink Pink Pink Pink Pink Black Pink Black\nBlack Pink Black Pink Black Pink Pink Pink Pink Pink Pink Black Black Black\nPink Black Pink Black Black Pink Black Black Pink Black Black Pink Pink Black\nPink Black Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Black\nPink Black Pink Black Black Black Pink Pink Black Pink Black Pink Pink Pink\nBlack Pink Black Black Pink Pink Pink Black Pink Pink Pink Black Pink Black\nBlack Black Black Pink Black Pink Pink Black Black Black Pink Pink Pink Black\nBlack Pink Pink Black Black Pink Pink Black Black Pink Black Black Pink Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Pink Pink Green Green Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Brown Brown Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Red Red Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Gray Gray Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Gray Gray Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlue Blue Gray Gray Gray Gray Gray Gray Blue Blue Purple Purple Black Black Black Black Black Black\nBlue Blue Gray Gray Gray Gray Gray Gray Blue Blue Purple Purple Black Black Black Black Black Black\nPurple Purple Yellow Yellow Red Red Yellow Yellow Purple Purple Yellow Yellow Black Black Black Black Black Black\nPurple Purple Yellow Yellow Red Red Yellow Yellow Purple Purple Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Red Red Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Gray Gray Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Brown Brown Black Black Orange Orange Blue Blue Black Black Black Black\nBlack Black Black Black Pink Pink Brown Brown Black Black Orange Orange Blue Blue Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nPink Pink Brown Brown Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nPink Pink Brown Brown Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Brown Brown Black Black Orange Orange Blue Blue Black Black Black Black\nBlack Black Black Black Pink Pink Brown Brown Black Black Orange Orange Blue Blue Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\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 Brown Brown Orange Orange Green Green Black Black Black Black\nBlack Black Black Black Brown Brown Orange Orange Green Green 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 Brown Brown Orange Orange Green Green Black Black Black Black\nBlack Black Black Black Brown Brown Orange Orange Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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```\nBrown Brown Green Green Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Green Green Brown Brown Black Black Black Black Black Black Black Black\nOrange Orange Green Green Orange Orange Black Black Black Black Black Black Black Black\nOrange Orange Green Green Orange Orange Black Black Black Black Black Black Black Black\nGreen Green Black Black Green Green Orange Orange Green Green Black Black Black Black\nGreen Green Black Black Green Green Orange Orange Green Green 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 Brown Brown Orange Orange Green Green Black Black Black Black\nBlack Black Black Black Brown Brown Orange Orange Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black 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 Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange 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 Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nRed Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown 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 Red Red Red Red Red Black\nBlack Red Red Red Red Red Black\nBlack Red Red Red Red Red Black\nBlack Red Red Red Red Red Black\nBlack Red Red Red Red Red Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Brown\nYellow Yellow Yellow Yellow Yellow Yellow Brown Yellow\nYellow Yellow Yellow Yellow Yellow Brown Yellow Yellow\nYellow Yellow Yellow Yellow Brown Yellow Yellow Yellow\nYellow Yellow Yellow Brown Yellow Yellow Yellow Yellow\nYellow Yellow Brown Yellow Yellow Yellow Yellow Yellow\nYellow Brown Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Green\nOrange Orange Orange Orange Orange Green Orange\nOrange Orange Orange Orange Green Orange Orange\nOrange Orange Orange Green Orange Orange Orange\nOrange Orange Green Orange Orange Orange Orange\nOrange Green Orange Orange Orange Orange Orange\nGreen Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Pink Gray Pink Pink\nPink Pink Pink Pink Pink Gray Pink Pink Pink\nPink Pink Pink Pink Gray Pink Pink Pink Pink\nPink Pink Pink Gray Pink Pink Pink Pink Pink\nPink Pink Gray Pink Pink Pink Pink Pink Pink\nPink Gray Pink Pink Pink Pink Pink Pink Pink\nGray Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Red\nBrown Brown Brown Brown Brown Brown Brown Red Brown\nBrown Brown Brown Brown Brown Brown Red Brown Brown\nBrown Brown Brown Brown Brown Red Brown Brown Brown\nBrown Brown Brown Brown Red Brown Brown Brown Brown\nBrown Brown Brown Red Brown Brown Brown Brown Brown\nBrown Brown Red Brown Brown Brown Brown Brown Brown\nBrown Red Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Blue Black Black Black Red Black\nBlack Black Black Black Blue Gray Red Gray Gray Purple\nBlack Black Black Black Black Blue Black Black Gray Purple\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Blue Black Black Black Red Black\nBlack Blue Blue Green Green Black Black Black Black Black\nBlack Blue Black 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Yellow Black Black Black Blue Black\nBlack Black Black Black Yellow Blue Blue Yellow Yellow Yellow\nBlack Black Black Black Black Blue Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Blue Black Black Black Blue Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Red Black Black Black Black Black Black Black Black\nBlack Red Brown Brown Red Black Black Black Black Black\nBlue Red 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 Orange Orange Black Black Yellow Gray Brown Orange Purple\nBlack Orange Black Black Black Yellow Yellow Yellow Blue Black\nBlack Orange Black Black Black Black Black Green Black Black\n\nOutput:\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue 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 Yellow Yellow Black Black Yellow Blue Blue Blue Blue\nBlack Yellow Black Black Black Yellow Yellow Yellow Blue Black\nBlack Yellow Black Black Black Black Black Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Blue Purple Brown Pink\nBlue Black Black Black Brown Brown Yellow Purple Purple Black\nGray Black Black Black Black Brown Pink Gray Black Black\nGray Green Black Black Black Black Pink Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Green Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Blue Blue Blue\nBlue Black Black Black Blue Blue Blue Blue Blue Black\nYellow Black Black Black Black Blue Yellow Yellow Black Black\nYellow Blue 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\nYellow Yellow Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Blue Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Yellow Black\nYellow Black Yellow Black Black Black Black Black\nYellow Black Black Black Yellow Black Yellow Yellow\nBlack Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Black Yellow Black Yellow\nBlack Yellow Yellow Black Yellow Black Yellow Black\nYellow Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Yellow Black Yellow Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Black\nYellow Black Yellow Black Black Black Black Black\nYellow Black Black Black Yellow Black Red Red\nBlack Black Black Black Yellow Black Red Red\nBlack Black Black Black Black Yellow Black Yellow\nBlack Yellow Yellow Black Yellow Black Yellow Black\nYellow Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Yellow Black Yellow Black\n\n\nExample 2\nInput:\nBlack Yellow Black Black Black Black Yellow\nBlack Black Black Black Yellow Black Black\nBlack Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Black Yellow Yellow\nBlack Black Black Yellow Black Yellow Black\nBlack Black Yellow Yellow Black Black Yellow\nBlack Black Black Black Yellow Black Black\n\nOutput:\nBlack Yellow Black Black Black Black Yellow\nBlack Black Black Black Yellow Black Black\nBlack Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Black Red Red\nBlack Black Red Red Black Red Red\nBlack Black Red Red Black Black Yellow\nBlack Black Black Black Yellow Black Black\n\n\nExample 3\nInput:\nBlack Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black\nBlack Yellow Black Black Black Yellow Yellow Black\nBlack Black Black Yellow Black Black Black Yellow\nYellow Black Black Black Yellow Black Yellow Black\nYellow Black Yellow Yellow Yellow Black Black Black\n\nOutput:\nBlack Black Black Red Red Black Black Black\nBlack Black Black Red Red Black Black Black\nBlack Yellow Black Black Black Yellow Yellow Black\nBlack Black Black Yellow Black Black Black Yellow\nYellow Black Black Black Yellow Black Yellow Black\nYellow Black Yellow Yellow Yellow Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Yellow Black Black Black Black\nYellow Yellow Black Black Black Yellow\nYellow Black Black Black Yellow Yellow\nBlack Black Yellow Black Black Black\nBlack Black Black Yellow Black Yellow\nBlack Yellow Yellow Black Yellow Black\nBlack Black Black Yellow Black Black\nBlack Black Black Black Yellow Black\nBlack Black Yellow Black Black Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Yellow Black Black Black Black\nYellow Yellow Black Black Red Red\nYellow Black Black Black Red Red\nBlack Black Yellow Black Black Black\nBlack Black Black Yellow Black Yellow\nBlack Yellow Yellow Black Yellow Black\nBlack Black Black Yellow Black Black\nBlack Black Black Black Yellow Black\nBlack Black Yellow Black Black Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange 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 Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Black Orange\nBlack Black Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Orange 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:\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGray 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 Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black\nGray Black Gray Black Black Black Black\nGray Gray Gray 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\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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Black Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Black Black Black Black Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Black Black Black Black Black\n\nOutput:\nBrown Black Black Black Black Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nBlack Black Black Black Black Brown\n\n\nExample 2\nInput:\nRed Black Black Black\nBlack Yellow Yellow Black\nBlack Black Black Black\n\nOutput:\nRed Black Black Black\nBlack Yellow Yellow Black\nBlack Black Black Red\n\n\nExample 3\nInput:\nBlack Black Black Gray\nBlack Red Red Black\nBlack Red Red Black\nBlack Red Red Black\nBlack Red Red Black\nBlack Black Black Black\n\nOutput:\nBlack Black Black Gray\nBlack Red Red Black\nBlack Red Red Gray\nBlack Red Gray Black\nBlack Gray Red Black\nGray Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Black Black Black\nBlack Purple Purple Black\nBlack Purple Purple Black\nBlack Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black Black Black\nBlack Purple Purple Black\nBlack Purple Purple Black\nBlack 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 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 Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Orange Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black 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\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 Gray Gray Gray Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue 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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Red Red Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Red Red Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Red Red Green Green Green Green Red Red Green Green Green Green Green Green Black Black Black Black\nBlack Black Red Red Green Green Green Green Red Red Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Red Red Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Red Red Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Red Red Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Red Red Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Red Red Green Green Green Green Red Red Black Black Black Black\nBlack Black Green Green Green Green Green Green Red Red Green Green Green Green Red Red Black Black Black Black\nBlack Black Green Green Green Green Green Green Red Red Red Red Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Red Red Red Red Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Red Red Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Red Red Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Red Red Green Green Green Green Green Green Green Green Green Green Red Red Black Black Black Black Black Black\nBlack Black Green Green Red Red Green Green Green Green Green Green Green Green Green Green Red Red Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Red Red Green Green Red Red Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Red Red Green Green Red Red Green Green Black Black Black Black Black Black\nBlack Black Red Red Green Green Green Green Red Red Red Red Green Green Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Green Green Green Green Red Red Red Red Green Green Red Red Red Red Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Red Red Red Red Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Green Green Red Red Red Red Green Green Black Black Black Black Black Black\nBlack Black Red Red Green Green Green Green Green Green Green Green Red Red Red Red Green Green Black Black Black Black Black Black\nBlack Black Red Red Green Green Green Green Green Green Green Green Red Red Red Red Green Green Black Black Black Black Black Black\nBlack Black Green Green Red Red Green Green Green Green Green Green Green Green Red Red Red Red Black Black Black Black Black Black\nBlack Black Green Green Red Red Green Green Green Green Green Green Green Green Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Green Green Green Green Green Green Red Red Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Green Green Green Green Green Green Red Red Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Red Red Red Red Red Red Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Red Red Red Red Red Red Green Green Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Green Green Green Green Red Red Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Green Green Green Green Red Red Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Green Green Green Green Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Green Green Green Green Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Red Red Red Red Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Red Red Red Red Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Red Red Red Red Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Red Red Red Red Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Red Red Green Green Red Red Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Red Red Green Green Red Red Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Green Green Red Red Red Red Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Green Green Red Red Red Red Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Pink Black Black Black Black\nBlack Yellow Pink Brown Yellow Black Black\nBlack Black Green Green Brown Orange Black\nBlack Black Black Black Green 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 Orange Black Black Black Black\nBlack Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black\nBlack Black Brown Red Green Black Black Black Black\nBlack Brown Yellow Blue Green Red Black Black Black\nBlack Black Green Brown Red Black Black Black Black\nBlack Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Yellow Pink Blue Black Black Black\nBlack Black Pink Red Orange Brown Red Black Black\nBlack Black Black Pink Blue Orange Black Black Black\nBlack Black Pink Black Gray Black Black Black Black\nBlack Purple Pink Pink Black Black Black Black Black\nBlack Black Yellow 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 Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Black Black Black\nBlack Black Orange Black Orange Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black\nBlack Purple Green Red Purple Black Black Black Black\nBlack Black Blue Brown Yellow Brown Black Black Black\nBlack Black Gray Pink Red Yellow Pink Black Black\nBlack Black Black Gray Orange Yellow Black Black Black\nBlack Black Black Black Brown 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 Orange Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Orange 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray 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```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray 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:\nBrown Purple Gray Blue Brown Black Black Black Black Black\nGray Brown Brown Blue Blue Black Black Black Black Black\nBlue Purple Purple Brown Brown Black Black Black Black Black\nBlue Purple Gray Purple Blue Black Black Black Black Black\nBrown Blue Gray Brown Blue Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Brown Blue Blue Black Black Black Black Black\n\nOutput:\nBrown Purple Gray Blue Brown Brown Blue Gray Purple Brown\nGray Brown Brown Blue Blue Blue Blue Brown Brown Gray\nBlue Purple Purple Brown Brown Brown Brown Purple Purple Blue\nBlue Purple Gray Purple Blue Blue Purple Gray Purple Blue\nBrown Blue Gray Brown Blue Blue Brown Gray Blue Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Brown Blue Blue Blue Blue Brown Purple Purple\n\n\nExample 2\nInput:\nPurple Orange Gray Gray Gray Gray Black Black Black Black Black Black\nGray Orange Gray Purple Purple Gray Black Black Black Black Black Black\nOrange Purple Orange Orange Orange Purple Black Black Black Black Black Black\nPurple Purple Orange Orange Gray Gray Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Gray Black Black Black Black Black Black\n\nOutput:\nPurple Orange Gray Gray Gray Gray Gray Gray Gray Gray Orange Purple\nGray Orange Gray Purple Purple Gray Gray Purple Purple Gray Orange Gray\nOrange Purple Orange Orange Orange Purple Purple Orange Orange Orange Purple Orange\nPurple Purple Orange Orange Gray Gray Gray Gray Orange Orange Purple Purple\nOrange Orange Orange Orange Orange Gray Gray Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nYellow Brown Brown Yellow Black Black Black Black\nYellow Brown Yellow Brown Black Black Black Black\nYellow Yellow Brown Brown Black Black Black Black\nBrown Brown 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```\nYellow Brown Brown Yellow Yellow Brown Brown Yellow\nYellow Brown Yellow Brown Brown Yellow Brown Yellow\nYellow Yellow Brown Brown Brown Brown Yellow Yellow\nBrown Brown Yellow Yellow Yellow Yellow Brown Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Orange Black\nBlack Black Black Black Black Orange Orange Black\nBlack Black Black Black Orange Orange 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 Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Orange Black\nBlack Black Black Black Black Orange Orange Black\nBlack Black Black Black Orange Orange Black Black\nBlack Black Black Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black\nBlack Gray Black Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Black Black Black Gray Black Gray Gray Gray\nBlack Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Yellow Black Black\nBlack Yellow Yellow Yellow Black\nBlack Black Yellow Black Black\nBlack Black Black Black Black\nBlack Black Black Black Yellow\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Yellow Black Black\nBlack Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow\nBlack Black Black Yellow Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Yellow Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown 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 Brown 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 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 Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Green Green Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Green Green Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Green Green Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Green Green Purple Purple Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Purple Purple Black Black Black Black\nGreen Green Green Green Green Green Black Black Green Green Purple Purple Black Black Black Black\nGreen Green Green Green Green Green Black Black Green Green Purple Purple Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Green Green Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nGray Gray Gray Gray Black Black Gray Gray\nGray Gray Gray Gray Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Blue Blue Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Blue Blue Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Blue Blue Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Blue Blue Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Red Red Red Red Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Blue Blue Black Black Black Black Red Red Red Red\nBlack Black Black Black Gray Gray Black Black Black Black Blue Blue Black Black Black Black Red Red Red Red\nBlack Black Gray Gray Gray Gray Black Black Black Black Blue Blue Black Black Black Black Black Black Red Red\nBlack Black Gray Gray Gray Gray Black Black Black Black Blue Blue Black Black Black Black Black Black Red Red\nGray Gray Gray Gray Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 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 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\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 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 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue 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\nBlack Blue Blue 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\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red 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 Orange Gray Gray Gray Black\nBlack Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue\nBlue Blue Black Black Black Gray Green\nBlue Blue Black Black Black Gray Green\nBlue Blue Black Black Black Black Black\n\nOutput:\nBlack Black Orange Gray Gray Gray Black\nBlack Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Green\nBlue Blue Black Black Black Gray Green\nBlue Blue Black Black Black Gray Green\nBlue Blue Black Black Black Black Black\n\n\nExample 2\nInput:\nGray Gray Black Yellow Yellow\nBlack Black Black Yellow Yellow\nBlack Black Black Black Black\nBlue Blue Black Brown Brown\nBlue Black Black Black Black\nBlue Blue Yellow Black Black\n\nOutput:\nGray Gray Black Yellow Yellow\nBlack Black Black Yellow Yellow\nBlack Black Black Black Black\nBrown Brown Black Brown Brown\nBrown Black Black Black Black\nBrown Brown Yellow Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Blue\nGreen Green Black Black Blue\nBrown Brown Brown Black Blue\nBlack Black Black Purple Purple\nBlack Black Purple Purple Black\n\nOutput:\nBlack Black Black Black Blue\nBrown Brown Black Black Blue\nBrown Brown Brown Black Blue\nBlack Black Black Purple Purple\nBlack Black Purple Purple Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Blue Black Black Black\nBlack Blue Brown Brown Black Black\nBlack Blue Black Black Black Black\nBlack Yellow Yellow Yellow Black Black\nBlack Black Black Black Purple Purple\nBlack Black Black Purple Purple Purple\nBlack Black Black Black Purple Purple\nPurple Purple Purple Black Black Black\nBlack Black Black Orange Orange Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Brown Brown Black Black Black\nBlack Brown Brown Brown Black Black\nBlack Brown Black Black Black Black\nBlack Yellow Yellow Yellow Black Black\nBlack Black Black Black Purple Purple\nBlack Black Black Purple Purple Purple\nBlack Black Black Black Purple Purple\nPurple Purple Purple Black Black Black\nBlack Black Black Orange Orange Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Green Green\nRed Red Red Red Red Red Black Black Green Green\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Green Green Blue Blue Blue Blue Green Green Black Black\nBlack Black Green Green Blue Blue Blue Blue Green Green Black Black\nBlack Black Blue Blue Green Green Green Green Blue Blue Black Black\nBlack Black Blue Blue Green Green Green Green 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:\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Green Green\nRed Red Red Red Red Red Red Red Black Black Green Green\nRed Red Red Red Red Red Red Red Black Black Green Green\nRed Red Red Red Red Red Red Red Black Black Green Green\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 Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Blue Blue Blue Blue Black Black\nBlack Black Black Black Pink Pink Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Pink Pink Blue Blue Black Black\nBlack Black Black Black Black Black Pink Pink Blue Blue Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Blue Blue Black Black\nBlack Black Pink Pink Pink Pink Pink Pink 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:\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Green Green\nRed Red Red Red Red Red Red Red Black Black Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Black Black Yellow Yellow\nBlue Blue Blue Blue Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nRed Red Red Red Black Black Green Green\nRed Red Red Red Black Black Green Green\nRed Red Red Red Black Black Green Green\nRed Red Red Red Black Black Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Yellow Purple Brown Orange Blue Purple Pink\nBrown Pink Purple Orange Orange Purple Gray Pink\nPink Pink Purple Brown Brown Purple Green Yellow\nGray Yellow Brown Pink Orange Orange Orange Gray\nGreen Purple Purple Orange Brown Yellow Pink Gray\nYellow Yellow Red Orange Gray Pink Gray Purple\nBrown Gray Yellow Blue Red Pink Blue Pink\nGray Yellow Blue Brown Gray Gray Brown Gray\nOrange Brown Orange Pink Orange Yellow Brown Yellow\nPink Yellow Red Purple Brown Purple Yellow Yellow\nBrown Pink Orange Yellow Yellow Gray Red Green\nGray Pink Brown Pink Gray Gray Red Pink\nYellow Yellow Gray Yellow Brown Brown Gray Pink\nYellow Red Brown Gray Brown Purple Red Orange\nGray Gray Blue Purple Brown Red Pink Pink\nPink Yellow Yellow Purple Purple Gray Gray Gray\nOrange Gray Yellow Brown Gray Blue Purple Brown\nGray Blue Purple Orange Yellow Brown Gray Yellow\n\nOutput:\nPurple Yellow Purple Brown Orange Purple Purple Pink\nBrown Pink Purple Orange Orange Purple Gray Pink\nPink Pink Purple Brown Brown Purple Pink Yellow\nGray Yellow Brown Pink Orange Orange Orange Gray\nPink Purple Purple Orange Brown Yellow Pink Gray\nYellow Yellow Yellow Orange Gray Pink Gray Purple\nBrown Gray Yellow Purple Yellow Pink Purple Pink\nGray Yellow Purple Brown Gray Gray Brown Gray\nOrange Brown Orange Pink Orange Yellow Brown Yellow\nPink Yellow Yellow Purple Brown Purple Yellow Yellow\nBrown Pink Orange Yellow Yellow Gray Yellow Pink\nGray Pink Brown Pink Gray Gray Yellow Pink\nYellow Yellow Gray Yellow Brown Brown Gray Pink\nYellow Yellow Brown Gray Brown Purple Yellow Orange\nGray Gray Purple Purple Brown Yellow Pink Pink\nPink Yellow Yellow Purple Purple Gray Gray Gray\nOrange Gray Yellow Brown Gray Purple Purple Brown\nGray Purple Purple Orange Yellow Brown Gray Yellow\n\n\nExample 2\nInput:\nBrown Red Pink Pink Red Green Pink Gray Green Orange\nPink Pink Orange Brown Orange Purple Red Orange Red Yellow\nBrown Orange Yellow Red Pink Red Gray Brown Orange Yellow\nGray Purple Brown Brown Orange Purple Gray Green Purple Orange\nGray Brown Pink Orange Brown Gray Brown Purple Blue Orange\nGray Yellow Purple Purple Brown Pink Yellow Yellow Purple Red\nGreen Gray Brown Gray Orange Gray Purple Purple Green Pink\n\nOutput:\nBrown Yellow Pink Pink Yellow Pink Pink Gray Pink Orange\nPink Pink Orange Brown Orange Purple Yellow Orange Yellow Yellow\nBrown Orange Yellow Yellow Pink Yellow Gray Brown Orange Yellow\nGray Purple Brown Brown Orange Purple Gray Pink Purple Orange\nGray Brown Pink Orange Brown Gray Brown Purple Purple Orange\nGray Yellow Purple Purple Brown Pink Yellow Yellow Purple Yellow\nPink Gray Brown Gray Orange Gray Purple Purple Pink Pink\n\n\nExample 3\nInput:\nYellow Yellow Brown Red Yellow Pink Orange Purple Gray Orange Brown\nGreen Brown Orange Gray Gray Brown Purple Brown Orange Brown Purple\nGray Yellow Green Purple Orange Yellow Brown Pink Brown Yellow Purple\nBrown Pink Purple Gray Yellow Orange Green Yellow Purple Gray Red\nPurple Brown Red Gray Yellow Pink Pink Purple Purple Yellow Green\nPink Red Brown Orange Pink Yellow Orange Green Gray Red Orange\nYellow Purple Orange Yellow Green Orange Yellow Blue Brown Yellow Pink\n\nOutput:\nYellow Yellow Brown Yellow Yellow Pink Orange Purple Gray Orange Brown\nPink Brown Orange Gray Gray Brown Purple Brown Orange Brown Purple\nGray Yellow Pink Purple Orange Yellow Brown Pink Brown Yellow Purple\nBrown Pink Purple Gray Yellow Orange Pink Yellow Purple Gray Yellow\nPurple Brown Yellow Gray Yellow Pink Pink Purple Purple Yellow Pink\nPink Yellow Brown Orange Pink Yellow Orange Pink Gray Yellow Orange\nYellow Purple Orange Yellow Pink Orange Yellow Purple Brown Yellow Pink\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Orange Gray Gray Red Blue Yellow Yellow\nBrown Brown Orange Yellow Brown Blue Purple Green Orange\nYellow Purple Green Orange Purple Purple Gray Pink Gray\nGreen Yellow Gray Gray Orange Pink Purple Yellow Purple\nBlue Orange Red Pink Gray Red Green Gray Red\nPink Pink Gray Orange Pink Blue Brown Blue Red\nGreen Gray Orange Green Purple Blue Yellow Purple Pink\nGray Orange Green Yellow Orange Yellow Orange Green Gray\nOrange Brown Orange Blue Brown Yellow Green Pink Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Gray Orange Gray Gray Yellow Purple Yellow Yellow\nBrown Brown Orange Yellow Brown Purple Purple Pink Orange\nYellow Purple Pink Orange Purple Purple Gray Pink Gray\nPink Yellow Gray Gray Orange Pink Purple Yellow Purple\nPurple Orange Yellow Pink Gray Yellow Pink Gray Yellow\nPink Pink Gray Orange Pink Purple Brown Purple Yellow\nPink Gray Orange Pink Purple Purple Yellow Purple Pink\nGray Orange Pink Yellow Orange Yellow Orange Pink Gray\nOrange Brown Orange Purple Brown Yellow Pink Pink 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:\nGray Black Black Black Black Gray Black Black Black Black Gray Black Black Black Black\nGray Black Black Black Green Gray Orange Black Black Yellow Gray Pink Black Brown Black\nGray Green Black Brown Black Gray Black Black Red Purple Gray Black Orange Black Black\nGray Black Black Black Yellow Gray Orange Black Red Black Gray Black Yellow Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Blue Black Purple Black Gray Red Pink Red Orange Gray Black Black Pink Black\nGray Black Black Black Yellow Gray Blue Black Black Orange Gray Black Black Brown Black\nGray Blue Red Black Brown Gray Purple Black Orange Purple Gray Black Black Blue Black\nGray Black Black Brown Black Gray Red Black Black Red Yellow Yellow Yellow Brown Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Gray Gray\nGray Black Pink Green Black Gray Orange Pink Black Orange Yellow Yellow Yellow Black Black\nGray Green Orange Black Purple Gray Purple Pink Black Black Gray Black Purple Orange Black\nGray Purple Black Black Black Gray Black Purple Blue Black Gray Yellow Red Black Black\nGray Brown Yellow Purple Black Gray Black Black Pink Black Gray Black Green Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nGray Black Black Black Black Gray Black Black Black Black Gray Black Black Black Black\nGray Blue Black Black Orange Gray Black Brown Brown Black Gray Pink Black Yellow Black\nGray Black Green Black Black Gray Blue Orange Brown Orange Gray Black Green Black Black\nGray Black Orange Black Black Gray Black Black Pink Red Gray Brown Purple Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Brown Black Black Gray Black Black Black Black Gray Brown Yellow Black Black\nGray Orange Green Black Black Gray Black Black Black Black Gray Green Green Brown Black\nGray Orange Orange Black Brown Gray Blue Black Black Black Gray Purple Black Yellow Black\nGray Blue Black Red Orange Gray Black Black Black Black Gray Red Blue Blue Black\nGray Gray Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Gray Gray Gray Gray\nGray Black Orange Black Black Gray Orange Black Yellow Yellow Yellow Black Black Black Black\nGray Pink Purple Black Yellow Gray Black Yellow Yellow Yellow Yellow Black Purple Black Black\nGray Black Black Black Black Gray Black Purple Black Green Gray Black Black Purple Black\nGray Purple Black Green Black Gray Pink Black Black Red Gray Black Blue Green Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nGray Black Black Black Black Gray Black Black Black Black Gray Black Black Black Black\nGray Black Black Pink Brown Gray Orange Black Red Orange Gray Purple Black Black Black\nGray Black Black Purple Brown Gray Blue Black Yellow Black Gray Black Black Black Black\nGray Black Black Green Black Gray Black Black Black Black Gray Black Purple Blue Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Yellow Black Black Black Pink Pink Pink Black Black Gray Orange Black Orange Black\nGray Black Black Yellow Green Pink Pink Pink Blue Pink Gray Brown Black Black Black\nGray Black Black Black Black Pink Pink Pink Brown Red Gray Orange Black Black Black\nGray Black Black Blue Black Gray Blue Green Black Pink Gray Orange Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Brown Black Brown Brown Gray Green Black Black Yellow Gray Black Black Black Black\nGray Black Black Pink Black Gray Blue Black Black Black Gray Black Purple Black Black\nGray Yellow Green Brown Black Gray Blue Yellow Black Black Gray Yellow Purple Pink Black\nGray Black Black Brown Black Gray Black Black Black Orange Gray Pink Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Gray Black Black Black Black Gray Black Black Black Black\nGray Brown Black Black Purple Gray Black Black Black Purple Gray Blue Orange Yellow Black\nGray Black Black Purple Black Gray Black Black Black Black Gray Red Yellow Black Black\nGray Black Blue Purple Black Gray Purple Black Red Green Gray Black Black Orange Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Brown Blue Pink Gray Black Black Black Yellow Gray Black Black Purple Black\nGray Pink Green Black Yellow Yellow Yellow Red Pink Purple Gray Black Black Red Black\nGray Black Purple Blue Yellow Yellow Yellow Black Green Black Gray Pink Yellow Orange Black\nGray Yellow Pink Black Yellow Yellow Yellow Black Green Black Gray Black Red Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Black Gray Black Blue Black Pink Gray Black Green Blue Black\nGray Brown Black Brown Black Gray Red Green Black Black Gray Brown Black Red Black\nGray Purple Black Brown Yellow Gray Black Orange Black Blue Gray Black Black Blue Black\nGray Black Pink Black Black Gray Black Black Blue Black Gray Pink Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and 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 Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black 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 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 Yellow Brown Brown Brown Yellow\nBlack Black Black Black Black Yellow Brown Brown Brown Yellow\nBlack Black Black Black Black Yellow Brown Brown Brown Yellow\nBlack Black Black Black Black Yellow Brown Brown Brown Yellow\nBlack Black Black Black Black Yellow 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\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 Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Green Green Green Green Black Black\nBlack Black Black Yellow Green Green Green Green Black Black\nBlack Black Black Yellow Green Green Green Green Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 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 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Gray Gray Gray Gray Yellow Black Black Black\nBlack Yellow Gray Gray Gray Gray Yellow Black Black Black\nBlack Yellow Gray Gray Gray Gray Yellow Black Black Black\nBlack Yellow Gray Gray Gray Gray Yellow Black Black Black\nBlack Yellow 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Red Red Yellow\nBlack Black Black Black Black Black Yellow Red Red Yellow\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Green Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Black Black\nGreen Green Green Green Black Black\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\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 Green Black\nBlack Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Green Black\n\nOutput:\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nBlack Black Green Green Black Black\nBlack Black Green Green Black Black\nBlack Black Green Green Black Black\nBlack Black Green Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Black Black\nBlack Black Gray Gray Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Green Green Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Orange Orange Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Red Red Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Red Red Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Red Red Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Red Red Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Red Red Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Red Red Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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\n\n\nExample 2\nInput:\nBrown Brown Brown Brown Brown Brown Brown\nBrown Black Black Black Black Black Brown\nBrown Black Black Black Black Black Brown\nBrown Black Black Black Black Black Brown\nBrown Black Black Black Black Black Brown\nBrown Black Black Black Black Black Brown\nBrown Green Green Black Black Black Brown\nBrown Black Pink Black Black Black Brown\nBrown Black Pink Black Black Black Brown\nBrown Black Pink Black Black Black Brown\nBrown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Blue Black Black Black Black Black Black Gray\nGray Blue Black Black Black Black Black Black Gray\nGray Purple Black Black Black Black Black Black Gray\nGray Purple Black Black Black Black Black Black Gray\nGray Red Black Black Black Black Black Black Gray\nGray Red Black Black Black Black Black Black Gray\nGray Purple Black Black Black Black Black Black Gray\nGray Purple Black Black Black Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nRed Black Green Black Black Black Black Green Green Green Black Black Black Black Red\nRed Green Green Green Green Green Green Green Black Black Black Black Black Black Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Red Black Yellow Yellow Yellow Yellow Yellow Black Red Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow 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 Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\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 Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\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 Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 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 Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\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 Red 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\nBlack Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nDirectly provide the output grids corresponding to the given test input grids, based 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\nBlack Black Black Black Black 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 Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black Black\nBlack 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 Purple\nBlack Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black\nBlack Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Green Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Green Black Black Blue Black Black\nGray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlue Black Black Black Green Black Black Black\nGray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Red Black Black Black Brown Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black\nPurple 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 Red Black Black Black Black Brown Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Blue Black Black Black Black Blue Blue Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue 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\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Blue Blue Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\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:\nRed Red Brown Brown Gray Gray Green Green Blue Blue Red Red Red Red Pink Pink Green Green Gray Gray Green Green Orange Orange\nRed Red Brown Brown Gray Gray Green Green Blue Blue Red Red Red Red Pink Pink Green Green Gray Gray Green Green Orange Orange\nBrown Brown Gray Gray Pink Pink Pink Pink Pink Pink Green Green Brown Brown Orange Orange Orange Orange Pink Pink Blue Blue Purple Purple\nBrown Brown Gray Gray Pink Pink Pink Pink Pink Pink Green Green Brown Brown Orange Orange Orange Orange Pink Pink Blue Blue Purple Purple\nGray Gray Brown Brown Gray Gray Orange Orange Purple Purple Purple Purple Orange Orange Red Red Green Green Red Red Purple Purple Brown Brown\nGray Gray Brown Brown Gray Gray Orange Orange Purple Purple Purple Purple Orange Orange Red Red Green Green Red Red Purple Purple Brown Brown\nPink Pink Brown Brown Orange Orange Gray Gray Purple Purple Gray Gray Orange Orange Pink Pink Pink Pink Orange Orange Green Green Gray Gray\nPink Pink Brown Brown Orange Orange Gray Gray Purple Purple Gray Gray Orange Orange Pink Pink Pink Pink Orange Orange Green Green Gray Gray\nGray Gray Gray Gray Brown Brown Gray Gray Brown Brown Pink Pink Orange Orange Red Red Orange Orange Red Red Orange Orange Purple Purple\nGray Gray Gray Gray Brown Brown Gray Gray Brown Brown Pink Pink Orange Orange Red Red Orange Orange Red Red Orange Orange Purple Purple\nGreen Green Green Green Brown Brown Brown Brown Brown Brown Blue Blue Yellow Yellow Gray Gray Brown Brown Red Red Purple Purple Gray Gray\nGreen Green Green Green Brown Brown Brown Brown Brown Brown Blue Blue Yellow Yellow Gray Gray Brown Brown Red Red Purple Purple Gray Gray\nPurple Purple Purple Purple Green Green Brown Brown Purple Purple Green Green Red Red Purple Purple Orange Orange Brown Brown Pink Pink Orange Orange\nPurple Purple Purple Purple Green Green Brown Brown Purple Purple Green Green Red Red Purple Purple Orange Orange Brown Brown Pink Pink Orange Orange\nOrange Orange Gray Gray Yellow Yellow Pink Pink Brown Brown Orange Orange Purple Purple Brown Brown Red Red Blue Blue Brown Brown Orange Orange\nOrange Orange Gray Gray Yellow Yellow Pink Pink Brown Brown Orange Orange Purple Purple Brown Brown Red Red Blue Blue Brown Brown Orange Orange\n\nOutput:\nRed Red Brown Brown Gray Gray Green Green Green Green Red Red Red Red Pink Pink Green Green Gray Gray Green Green Orange Orange\nRed Red Brown Brown Gray Gray Green Green Green Green Red Red Red Red Pink Pink Green Green Gray Gray Green Green Orange Orange\nBrown Brown Gray Gray Pink Pink Pink Pink Pink Pink Green Green Brown Brown Orange Orange Orange Orange Pink Pink Green Green Purple Purple\nBrown Brown Gray Gray Pink Pink Pink Pink Pink Pink Green Green Brown Brown Orange Orange Orange Orange Pink Pink Green Green Purple Purple\nGray Gray Brown Brown Gray Gray Orange Orange Purple Purple Purple Purple Orange Orange Red Red Green Green Red Red Purple Purple Brown Brown\nGray Gray Brown Brown Gray Gray Orange Orange Purple Purple Purple Purple Orange Orange Red Red Green Green Red Red Purple Purple Brown Brown\nPink Pink Brown Brown Orange Orange Gray Gray Purple Purple Gray Gray Orange Orange Pink Pink Pink Pink Orange Orange Green Green Gray Gray\nPink Pink Brown Brown Orange Orange Gray Gray Purple Purple Gray Gray Orange Orange Pink Pink Pink Pink Orange Orange Green Green Gray Gray\nGray Gray Gray Gray Brown Brown Gray Gray Brown Brown Pink Pink Orange Orange Red Red Orange Orange Red Red Orange Orange Purple Purple\nGray Gray Gray Gray Brown Brown Gray Gray Brown Brown Pink Pink Orange Orange Red Red Orange Orange Red Red Orange Orange Purple Purple\nGreen Green Green Green Brown Brown Brown Brown Brown Brown Green Green Purple Purple Gray Gray Brown Brown Red Red Purple Purple Gray Gray\nGreen Green Green Green Brown Brown Brown Brown Brown Brown Green Green Purple Purple Gray Gray Brown Brown Red Red Purple Purple Gray Gray\nPurple Purple Purple Purple Green Green Brown Brown Purple Purple Green Green Red Red Purple Purple Orange Orange Brown Brown Pink Pink Orange Orange\nPurple Purple Purple Purple Green Green Brown Brown Purple Purple Green Green Red Red Purple Purple Orange Orange Brown Brown Pink Pink Orange Orange\nOrange Orange Gray Gray Purple Purple Pink Pink Brown Brown Orange Orange Purple Purple Brown Brown Red Red Green Green Brown Brown Orange Orange\nOrange Orange Gray Gray Purple Purple Pink Pink Brown Brown Orange Orange Purple Purple Brown Brown Red Red Green Green Brown Brown Orange Orange\n\n\nExample 2\nInput:\nPurple Purple Gray Gray Pink Pink Purple Purple Brown Brown Brown Brown Green Green Purple Purple Brown Brown Brown Brown\nPurple Purple Gray Gray Pink Pink Purple Purple Brown Brown Brown Brown Green Green Purple Purple Brown Brown Brown Brown\nPurple Purple Purple Purple Pink Pink Brown Brown Orange Orange Green Green Orange Orange Pink Pink Green Green Yellow Yellow\nPurple Purple Purple Purple Pink Pink Brown Brown Orange Orange Green Green Orange Orange Pink Pink Green Green Yellow Yellow\nBrown Brown Pink Pink Red Red Gray Gray Green Green Purple Purple Pink Pink Red Red Green Green Orange Orange\nBrown Brown Pink Pink Red Red Gray Gray Green Green Purple Purple Pink Pink Red Red Green Green Orange Orange\nGray Gray Pink Pink Brown Brown Purple Purple Pink Pink Orange Orange Pink Pink Red Red Brown Brown Purple Purple\nGray Gray Pink Pink Brown Brown Purple Purple Pink Pink Orange Orange Pink Pink Red Red Brown Brown Purple Purple\nRed Red Purple Purple Gray Gray Gray Gray Gray Gray Blue Blue Green Green Pink Pink Brown Brown Gray Gray\nRed Red Purple Purple Gray Gray Gray Gray Gray Gray Blue Blue Green Green Pink Pink Brown Brown Gray Gray\nRed Red Pink Pink Pink Pink Red Red Purple Purple Brown Brown Yellow Yellow Red Red Yellow Yellow Brown Brown\nRed Red Pink Pink Pink Pink Red Red Purple Purple Brown Brown Yellow Yellow Red Red Yellow Yellow Brown Brown\nOrange Orange Blue Blue Red Red Orange Orange Blue Blue Red Red Gray Gray Yellow Yellow Brown Brown Orange Orange\nOrange Orange Blue Blue Red Red Orange Orange Blue Blue Red Red Gray Gray Yellow Yellow Brown Brown Orange Orange\n\nOutput:\nPurple Purple Gray Gray Pink Pink Purple Purple Brown Brown Brown Brown Green Green Purple Purple Brown Brown Brown Brown\nPurple Purple Gray Gray Pink Pink Purple Purple Brown Brown Brown Brown Green Green Purple Purple Brown Brown Brown Brown\nPurple Purple Purple Purple Pink Pink Brown Brown Orange Orange Green Green Orange Orange Pink Pink Green Green Purple Purple\nPurple Purple Purple Purple Pink Pink Brown Brown Orange Orange Green Green Orange Orange Pink Pink Green Green Purple Purple\nBrown Brown Pink Pink Red Red Gray Gray Green Green Purple Purple Pink Pink Red Red Green Green Orange Orange\nBrown Brown Pink Pink Red Red Gray Gray Green Green Purple Purple Pink Pink Red Red Green Green Orange Orange\nGray Gray Pink Pink Brown Brown Purple Purple Pink Pink Orange Orange Pink Pink Red Red Brown Brown Purple Purple\nGray Gray Pink Pink Brown Brown Purple Purple Pink Pink Orange Orange Pink Pink Red Red Brown Brown Purple Purple\nRed Red Purple Purple Gray Gray Gray Gray Gray Gray Green Green Green Green Pink Pink Brown Brown Gray Gray\nRed Red Purple Purple Gray Gray Gray Gray Gray Gray Green Green Green Green Pink Pink Brown Brown Gray Gray\nRed Red Pink Pink Pink Pink Red Red Purple Purple Brown Brown Purple Purple Red Red Purple Purple Brown Brown\nRed Red Pink Pink Pink Pink Red Red Purple Purple Brown Brown Purple Purple Red Red Purple Purple Brown Brown\nOrange Orange Green Green Red Red Orange Orange Green Green Red Red Gray Gray Purple Purple Brown Brown Orange Orange\nOrange Orange Green Green Red Red Orange Orange Green Green Red Red Gray Gray Purple Purple Brown Brown Orange Orange\n\n\nExample 3\nInput:\nGreen Green Red Red Gray Gray Gray Gray Orange Orange Orange Orange Red Red Gray Gray Purple Purple Pink Pink Gray Gray\nGreen Green Red Red Gray Gray Gray Gray Orange Orange Orange Orange Red Red Gray Gray Purple Purple Pink Pink Gray Gray\nRed Red Pink Pink Red Red Orange Orange Green Green Orange Orange Yellow Yellow Brown Brown Purple Purple Blue Blue Brown Brown\nRed Red Pink Pink Red Red Orange Orange Green Green Orange Orange Yellow Yellow Brown Brown Purple Purple Blue Blue Brown Brown\nPurple Purple Gray Gray Blue Blue Purple Purple Red Red Orange Orange Purple Purple Gray Gray Orange Orange Green Green Brown Brown\nPurple Purple Gray Gray Blue Blue Purple Purple Red Red Orange Orange Purple Purple Gray Gray Orange Orange Green Green Brown Brown\nPurple Purple Pink Pink Purple Purple Blue Blue Brown Brown Orange Orange Green Green Red Red Orange Orange Pink Pink Red Red\nPurple Purple Pink Pink Purple Purple Blue Blue Brown Brown Orange Orange Green Green Red Red Orange Orange Pink Pink Red Red\nPink Pink Blue Blue Purple Purple Purple Purple Pink Pink Green Green Green Green Brown Brown Purple Purple Brown Brown Orange Orange\nPink Pink Blue Blue Purple Purple Purple Purple Pink Pink Green Green Green Green Brown Brown Purple Purple Brown Brown Orange Orange\nOrange Orange Gray Gray Red Red Red Red Purple Purple Red Red Gray Gray Brown Brown Pink Pink Orange Orange Green Green\nOrange Orange Gray Gray Red Red Red Red Purple Purple Red Red Gray Gray Brown Brown Pink Pink Orange Orange Green Green\nOrange Orange Purple Purple Green Green Green Green Red Red Purple Purple Blue Blue Pink Pink Brown Brown Gray Gray Gray Gray\nOrange Orange Purple Purple Green Green Green Green Red Red Purple Purple Blue Blue Pink Pink Brown Brown Gray Gray Gray Gray\n\nOutput:\nGreen Green Red Red Gray Gray Gray Gray Orange Orange Orange Orange Red Red Gray Gray Purple Purple Pink Pink Gray Gray\nGreen Green Red Red Gray Gray Gray Gray Orange Orange Orange Orange Red Red Gray Gray Purple Purple Pink Pink Gray Gray\nRed Red Pink Pink Red Red Orange Orange Green Green Orange Orange Purple Purple Brown Brown Purple Purple Green Green Brown Brown\nRed Red Pink Pink Red Red Orange Orange Green Green Orange Orange Purple Purple Brown Brown Purple Purple Green Green Brown Brown\nPurple Purple Gray Gray Green Green Purple Purple Red Red Orange Orange Purple Purple Gray Gray Orange Orange Green Green Brown Brown\nPurple Purple Gray Gray Green Green Purple Purple Red Red Orange Orange Purple Purple Gray Gray Orange Orange Green Green Brown Brown\nPurple Purple Pink Pink Purple Purple Green Green Brown Brown Orange Orange Green Green Red Red Orange Orange Pink Pink Red Red\nPurple Purple Pink Pink Purple Purple Green Green Brown Brown Orange Orange Green Green Red Red Orange Orange Pink Pink Red Red\nPink Pink Green Green Purple Purple Purple Purple Pink Pink Green Green Green Green Brown Brown Purple Purple Brown Brown Orange Orange\nPink Pink Green Green Purple Purple Purple Purple Pink Pink Green Green Green Green Brown Brown Purple Purple Brown Brown Orange Orange\nOrange Orange Gray Gray Red Red Red Red Purple Purple Red Red Gray Gray Brown Brown Pink Pink Orange Orange Green Green\nOrange Orange Gray Gray Red Red Red Red Purple Purple Red Red Gray Gray Brown Brown Pink Pink Orange Orange Green Green\nOrange Orange Purple Purple Green Green Green Green Red Red Purple Purple Green Green Pink Pink Brown Brown Gray Gray Gray Gray\nOrange Orange Purple Purple Green Green Green Green Red Red Purple Purple Green Green Pink Pink Brown Brown Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Brown Brown Gray Gray Orange Orange Brown Brown Red Red Orange Orange Brown Brown Yellow Yellow\nPink Pink Brown Brown Gray Gray Orange Orange Brown Brown Red Red Orange Orange Brown Brown Yellow Yellow\nPink Pink Orange Orange Orange Orange Green Green Gray Gray Green Green Red Red Green Green Green Green\nPink Pink Orange Orange Orange Orange Green Green Gray Gray Green Green Red Red Green Green Green Green\nPurple Purple Pink Pink Red Red Purple Purple Orange Orange Yellow Yellow Pink Pink Red Red Orange Orange\nPurple Purple Pink Pink Red Red Purple Purple Orange Orange Yellow Yellow Pink Pink Red Red Orange Orange\nGreen Green Pink Pink Green Green Green Green Red Red Brown Brown Red Red Purple Purple Blue Blue\nGreen Green Pink Pink Green Green Green Green Red Red Brown Brown Red Red Purple Purple Blue Blue\nRed Red Gray Gray Blue Blue Brown Brown Pink Pink Blue Blue Red Red Gray Gray Blue Blue\nRed Red Gray Gray Blue Blue Brown Brown Pink Pink Blue Blue Red Red Gray Gray Blue Blue\nGray Gray Orange Orange Brown Brown Green Green Purple Purple Orange Orange Gray Gray Orange Orange Gray Gray\nGray Gray Orange Orange Brown Brown Green Green Purple Purple Orange Orange Gray Gray Orange Orange Gray Gray\nGreen Green Green Green Red Red Green Green Brown Brown Red Red Brown Brown Pink Pink Brown Brown\nGreen Green Green Green Red Red Green Green Brown Brown Red Red Brown Brown Pink Pink Brown Brown\nPurple Purple Green Green Pink Pink Orange Orange Red Red Green Green Orange Orange Purple Purple Purple Purple\nPurple Purple Green Green Pink Pink Orange Orange Red Red Green Green Orange Orange Purple Purple Purple Purple\nPurple Purple Purple Purple Red Red Gray Gray Pink Pink Blue Blue Red Red Brown Brown Brown Brown\nPurple Purple Purple Purple Red Red Gray Gray Pink Pink Blue Blue Red Red Brown Brown Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Brown Brown Gray Gray Orange Orange Brown Brown Red Red Orange Orange Brown Brown Purple Purple\nPink Pink Brown Brown Gray Gray Orange Orange Brown Brown Red Red Orange Orange Brown Brown Purple Purple\nPink Pink Orange Orange Orange Orange Green Green Gray Gray Green Green Red Red Green Green Green Green\nPink Pink Orange Orange Orange Orange Green Green Gray Gray Green Green Red Red Green Green Green Green\nPurple Purple Pink Pink Red Red Purple Purple Orange Orange Purple Purple Pink Pink Red Red Orange Orange\nPurple Purple Pink Pink Red Red Purple Purple Orange Orange Purple Purple Pink Pink Red Red Orange Orange\nGreen Green Pink Pink Green Green Green Green Red Red Brown Brown Red Red Purple Purple Green Green\nGreen Green Pink Pink Green Green Green Green Red Red Brown Brown Red Red Purple Purple Green Green\nRed Red Gray Gray Green Green Brown Brown Pink Pink Green Green Red Red Gray Gray Green Green\nRed Red Gray Gray Green Green Brown Brown Pink Pink Green Green Red Red Gray Gray Green Green\nGray Gray Orange Orange Brown Brown Green Green Purple Purple Orange Orange Gray Gray Orange Orange Gray Gray\nGray Gray Orange Orange Brown Brown Green Green Purple Purple Orange Orange Gray Gray Orange Orange Gray Gray\nGreen Green Green Green Red Red Green Green Brown Brown Red Red Brown Brown Pink Pink Brown Brown\nGreen Green Green Green Red Red Green Green Brown Brown Red Red Brown Brown Pink Pink Brown Brown\nPurple Purple Green Green Pink Pink Orange Orange Red Red Green Green Orange Orange Purple Purple Purple Purple\nPurple Purple Green Green Pink Pink Orange Orange Red Red Green Green Orange Orange Purple Purple Purple Purple\nPurple Purple Purple Purple Red Red Gray Gray Pink Pink Green Green Red Red Brown Brown Brown Brown\nPurple Purple Purple Purple Red Red Gray Gray Pink Pink Green Green Red Red Brown Brown Brown Brown\n```",
"role": "assistant"
}
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Blue Red\nYellow Green Blue\nPink Yellow Pink\n\nOutput:\nGray Yellow Green\nBlue Red Yellow\nGray Blue Gray\n\n\nExample 2\nInput:\nBlue Green Blue\nYellow Red Yellow\nBlue Pink Blue\n\nOutput:\nYellow Red Yellow\nBlue Green Blue\nYellow Gray Yellow\n\n\nExample 3\nInput:\nPink Green Pink\nYellow Yellow Blue\nBlue Gray Red\n\nOutput:\nGray Red Gray\nBlue Blue Yellow\nYellow Pink Green\n\n\nHere is the input grid for the test example:\nInput:\nGray Blue Pink\nPink Gray Green\nGray Gray Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Yellow Gray\nGray Pink Red\nPink Pink Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Orange Orange Orange Orange 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 Orange Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black\nBlack Orange 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 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 Gray Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black\nBlack Gray 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\n\nOutput:\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Yellow 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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 Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black\nBlack Purple Purple 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 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 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 Orange Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray 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 Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Pink Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Pink\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Gray Black Black Black Black Black Brown\nBlack Black Black Black Black Black Green Black Black Purple Black\nBlack Green Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Brown 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 Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Yellow Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Brown Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Purple Black\nOrange Black Black Pink Black Black Black Black Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Brown Black\nBlack Black Black Brown Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black\nBlack Black Black Blue Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\nOutput:\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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Pink Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPink 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 Yellow Black Black\nBlack Black Black Black Black Black Black Black\nYellow Black Black Blue Black Black Black Black\nBrown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow\nBlack Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black\nYellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and 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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Yellow Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Yellow Black Black Black Black Black Black\nBlack Black Black 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 Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Red Black Yellow Black Black Black Black Black\nBlack Red Black Black Black Yellow Black Black Black Black\nBlack Black Red Black Black Black Yellow Black Black Black\nBlack Black Black Red Black Black Black Yellow Black Black\nBlack Black Black Black Red Black Black Black Yellow Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Red Black Black Red Black Black Black\nBlack Black Black Black Red Black Black Red Black Black\nBlack Black Black Black Black Red Black Black Red Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Blue Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Black Black\nBlack Black Red Red Red Black Black Black Red Black Black Black\nBlack Black Black Black Yellow Black Black Red Black Black Black Black\nBlack Black Black Black Yellow Black Red Black Black Black Black Black\nBlack Black Black Black Yellow Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and 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 Green Green Green Black Black\nBlack Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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 Green Green Green Black Black\nBlack Black Black Green Green Green Black Black\nBlack Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Green Black Black\nBlack Black Black Green Black Black\nBlack Black Black Green Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Green Black Black\nBlack Black Black Green Green Black\nBlack Black Black Green Green Black\nBlack Black Black Black Green Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and 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\nOrange Black Black Black Black Black Black Black Black Black Black\nYellow Orange Black Black Black Black Black Black Black Black Black\nOrange Yellow Orange Black Black Black Black Black Black Black Black\nYellow Orange Yellow Orange Black Black Black Black Black Black Black\nOrange Yellow Orange Yellow Orange Black Black Black Black Black Black\nYellow Orange Yellow Orange Yellow Orange Black Black Black Black Black\nOrange Yellow Orange Yellow Orange Yellow Orange Black Black Black Black\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Black Black Black\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Black Black\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Black\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black\nYellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\n\nOutput:\nYellow\n\n\nExample 2\nInput:\nYellow Gray Yellow Gray Black Black Black Black Black Black Black Black Black Black\nGray Yellow Gray Yellow Gray Black Black Black Black Black Black Black Black Black\nYellow Gray Yellow Gray Yellow Gray Black Black Black Black Black Black Black Black\nBlack Yellow Gray Yellow Gray Yellow Gray Black Black Black Black Black Black Black\nRed Black Yellow Gray Yellow Gray Yellow Gray Black Black Black Black Black Black\nBlack Red Black Yellow Gray Yellow Gray Yellow Gray Black Black Black Black Black\nRed Black Red Black Yellow Gray Yellow Gray Yellow Gray Black Black Black Black\nBlack Red Black Red Black Red Gray Black Gray Black Gray Black Black Black\nBlack Black Red Black Red Black Red Gray Black Gray Black Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Black Gray Black Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Black Gray Black Gray\n\nOutput:\nGray\n\n\nExample 3\nInput:\nRed Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nRed Black Red Black Black Black Black Black Black Black Black Black\nBlack Red Black Red Black Black Black Black Black Black Black Black\nRed Black Red Black Red Black Black Black Black Black Black Black\nBlack Red Black Red Black Red Black Black Black Black Black Black\nRed Black Red Black Red Black Red Black Black Black Black Black\nBlack Red Black Red Black Red Black Red Black Black Black Black\nRed Black Red Black Red Black Red Black Red Black Black Black\nBlack Red Black Red Black Red Black Red Black Red Black Black\nBrown Black Brown Black Brown Black Brown Black Brown Black Brown Black\nBlack Brown Black Brown Black Brown Black Brown Black Brown Black Brown\n\nOutput:\nBrown\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\nYellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black Black Black Black Black\nYellow Black Yellow Black Yellow Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Yellow Black Black Black Black Black Black\nYellow Black Yellow Black Yellow Black Yellow Black Black Black Black Black\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Black Black Black\nYellow Black Yellow Black Yellow Black Yellow Black Yellow Black Black Black\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Black\nYellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow\nOrange Black Orange Black Orange Black Orange Black Orange Black Orange Black\nBlack Orange Black Orange Black Orange Black Orange Black Orange Black Orange\nPink Black Pink Black Pink Black Pink Black Pink Black Pink Black\nBlack Pink Black Pink Black Pink Black Pink Black Pink Black Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and 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 Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Yellow Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Pink 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:\nPink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Pink Black\nBlack Black Black Black Black Pink Black\nBlack Black Pink Black Black Pink Black\nBlack Black Black Black Black Pink Black\nBlack Black Black Black Black Pink Black\nPink Pink Pink Pink Pink Pink Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Orange 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 Orange Orange Orange Orange Orange\nBlack Black Orange Black Black Black Black\nBlack Black Orange Black Black Black Black\nBlack Black Orange Black Black Orange Black\nBlack Black Orange Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Gray 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\nGray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Gray Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray 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 Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Yellow Yellow Black Black\nGreen Green Black Green Green Black Yellow Yellow Black Black\nGreen Green Black Green Green Black Black Black Black Black\n\nOutput:\nYellow\nYellow\nYellow\nBlack\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Green Green Yellow Yellow Black Green Green Black\nBlack Black Green Green Yellow Yellow Black Green Green Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Green Green\n\nOutput:\nYellow\nYellow\nYellow\nYellow\n\n\nExample 3\nInput:\nBlack Black Black Black Green Green Black Yellow Yellow Black\nBlack Black Black Black Green Green Black Yellow Yellow Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Green Green Black Black Black Green Green Black Black\nBlack Green Green Black Black Black Green Green Black Black\nYellow Yellow Green Green Black Black Black Yellow Yellow Black\nYellow Yellow Green Green Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow\nYellow\nYellow\nYellow\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 Green Green Black Black\nGreen Green Black Black Black Black Green Green Black Black\nGreen Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Black Yellow Yellow Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow\nYellow\nBlack\nBlack\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Orange Orange Gray Gray Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Orange Orange Gray Gray Purple Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Gray Gray Gray Gray\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Gray Gray Gray Gray\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Gray Gray Gray Gray\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Purple Purple\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Orange Orange Gray Gray Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Orange Orange Gray Gray Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Purple Purple Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Purple Purple Orange Orange\n\nOutput:\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Purple Purple Purple Purple\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Purple Purple Purple Purple\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Purple Purple Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Purple Purple Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nPink Pink Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nPink Pink Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nPink Pink Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Blue Blue Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown Brown Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Brown Brown Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Brown Brown Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Brown Brown 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:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Black Black Black Black Black Purple\nPurple Red Blue Black Black Black Black Black Purple\nBlue Blue Blue Blue Black Black Black Black Purple\nOrange Black Black Purple Green Green Green Yellow Purple\nBrown Blue Black Black Green Black Black Black Purple\nBlue Blue Black Black Green Green Black Black Purple\nPurple Blue Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Black Black Purple Purple Black Black Black Black Black Purple\nPurple Black Black Purple Purple Black Black Black Black Black Purple\nPurple Black Black Purple Purple Purple Black Black Black Black Purple\nPurple Black Black Black Black Purple Purple Purple Purple Purple Purple\nPurple Black Black Purple Black Black Purple Black Black Black Purple\nPurple Black Black Purple Black Black Purple Purple Black Black Purple\nPurple Black Black Purple Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Black Black Green Black Green Black Black Orange\nOrange Black Black Green Orange Brown Orange Green Black Orange\nOrange Black Yellow Purple Purple Black Purple Purple Yellow Orange\nOrange Black Yellow Pink Blue Black Blue Pink Yellow Orange\nOrange Black Orange Gray Yellow Yellow Yellow Gray Orange Orange\nOrange Black Orange Gray Pink Orange Pink Gray Orange Orange\nOrange Black Orange Gray Pink Black Pink Gray Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Black Black Black Black Orange Black Orange Black Black Orange\nOrange Black Black Black Black Orange Orange Orange Orange Orange Black Orange\nOrange Black Black Black Orange Orange Orange Black Orange Orange Orange Orange\nOrange Black Black Black Orange Orange Orange Black Orange Orange Orange Orange\nOrange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Black Black Orange Orange Orange Black Orange Orange Orange Orange\nOrange Black Black Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Black Red Red Purple Black Gray\nGray Black Black Black Blue Blue Blue Blue Blue Gray\nGray Black Black Black Blue Blue Blue Purple Purple Gray\nGray Black Brown Blue Blue Yellow Gray Green Red Gray\nGray Green Brown Black Black Red Orange Yellow Red Gray\nGray Black Black Black Red Green Blue Gray Orange Gray\nGray Black Black Black Black Black Blue Pink Pink Gray\nGray Black Black Black Black Brown Pink Pink Green Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Black Black Black Gray Gray Gray Black Gray\nGray Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Gray Gray Black Black Gray Gray Gray Gray Gray\nGray Black Black Black Black Black Gray Gray Gray Gray Gray Gray\nGray Black Black Black Black Black Black Black Gray Gray Gray Gray\nGray Black Black Black Black Black Black Gray Gray Gray Gray Gray\nGray Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Gray\nGray 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\nPink Yellow Gray Yellow Yellow Gray Yellow Pink\nPink Blue Gray Gray Gray Gray Blue Pink\nPink Blue Gray Gray Gray Gray Blue Pink\nPink Blue Blue Gray Gray Blue Blue Pink\nPink Pink Pink Brown Brown Pink Pink Pink\nPink Black Purple Purple Purple Purple Black Pink\nPink 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\nPink Black Black Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Pink Pink Pink Pink Black Pink\nPink Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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```\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black\nPink Black Gray Gray Gray Gray Gray Gray Gray Purple\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Gray Gray Gray Gray Gray Pink Black\nBlack Black Pink Gray Purple Purple Purple Gray Pink Black\nPink Black Pink Gray Purple Red Purple Gray Pink Purple\nBlack Black Pink Gray Purple Purple Purple Gray Pink Black\nBlack Black Pink Gray Gray Gray Gray Gray Pink Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black\nOrange Black Gray Gray Gray Gray Gray Black Green\nBlack Black Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black\n\nOutput:\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Orange Red Red Red Orange Black Black\nBlack Black Red Green Green Green Red Black Black\nOrange Black Red Green Brown Green Red Black Green\nBlack Black Red Green Green Green Red Black Black\nBlack Black Orange Red Red Red Orange Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBrown Black Gray Gray Gray Gray Gray Gray Gray Black Red\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray 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\n\nOutput:\nBlack Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Brown Yellow Yellow Yellow Yellow Yellow Brown Black Black\nBlack Black Brown Yellow Red Red Red Yellow Brown Black Black\nBrown Black Brown Yellow Red Gray Red Yellow Brown Black Red\nBlack Black Brown Yellow Red Red Red Yellow Brown Black Black\nBlack Black Brown Yellow Yellow Yellow Yellow Yellow Brown Black Black\nBlack Black Black Brown Brown Brown Brown Brown 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Blue Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Black\nGray Black Gray Gray Gray Gray Gray Green\nBlack Black Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Blue Black Black Black\nBlack Black Gray Blue Blue Blue Gray Black\nBlack Black Blue Green Green Green Blue Black\nGray Black Blue Green Brown Green Blue Green\nBlack Black Blue Green Green Green Blue Black\nBlack Black Gray Blue Blue Blue Gray Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Brown 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 Purple Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Purple Orange Purple Black Black\nBlack Black Black Black Gray Brown Gray Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Yellow Brown Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Gray Yellow Gray 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\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 Purple Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Gray Gray Gray 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Brown Pink Brown\nBlack Black Black Black Black Black Black Black Yellow Pink Yellow Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Orange Green\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Yellow Brown Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Purple Red Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Gray Pink Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Brown Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Red 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Blue 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 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 Red 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 Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green 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 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\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black\nPink Pink Black Black Brown Brown Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Purple Black Black Black Yellow Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Purple Purple Purple Purple Purple Black\nGreen Green Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black\nBlack Green Black Black Black Black Black Black Yellow Purple Black Purple Purple Purple Black\nBlack Green Black Black Black Black Black Yellow Yellow Purple Purple Purple Purple Purple Black\nBlack Green Black Black Black Black Black Yellow Black Purple Purple Purple Purple Purple Black\nGreen Green Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Green Green Green Green Green Black Black Pink Pink Pink Pink Black\nBlack Black Black Green Gray Gray Black Black Pink Pink Pink Black Black\nBlack Black Gray Gray Gray Gray Black Black Pink Pink Pink Pink Black\nBlack Black Gray Gray Gray Gray Gray Black Pink Pink Pink Pink Pink\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Red Red Red Black Black Black Black\nBlack Black Blue Black Black Black Black Black Red Red Red Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Red Red Red Black Black Black\nBlack Black Black Blue Black Black Black Black Black Red Red 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 Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Green\nBlack Pink Pink Pink Pink Pink Black Black Pink Pink Black Green\nBlack Pink Pink Pink Pink Pink Black Black Pink Pink Green Green\nBlack Black Black Pink Pink Pink Black Black Pink Pink Green Black\nBlack Pink Pink Pink Pink Pink Black Black Black Black Green Black\nBlack Pink Pink Pink Pink Pink Black Brown Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Brown Brown Brown Brown Brown\nBlack Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Green Green Green Green Green\nBlack Black Black Black Black Black Black Green Green Green Green Green\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 Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Brown Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Brown Brown Brown Brown\nBlack Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and 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 Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack 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\nBlack 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\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack 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\nBlack 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\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black\nBlack Black Black Red 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 3\nInput:\nBlack Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Red Red Red\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Red Black Black\nBlack Black Black Red Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Orange Pink Black Orange\nBlack Black Black Purple Orange\nBlack Black Black Black Green\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Orange Pink Black Orange\nBlack Black Black Black Orange\nBlack Black Black Black Orange\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nOrange Orange Black Black Blue Black\nBlack Black Black Black Blue Black\nGray Black Black Blue Black Black\nBlack Black Orange Brown Black Black\nBlack Black Black Black Black Black\nPurple Black Red Black Black Black\n\nOutput:\nOrange Orange Black Black Blue Black\nBlack Black Black Black Blue Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nPurple Black Black Black Black Black\nBlack Black Black Black Black Red\nBlack Black Orange Black Black Black\nGray Gray Brown Black Black Pink\nBlack Black Black Black Black Black\nGreen Black Yellow Black Orange Black\n\nOutput:\nPurple Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Black Black\nBrown Orange Gray Brown\nBlack Black Black Black\nBrown Black Black Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Black Black\nBlack Gray Black Black\nBlack Black Black Black\nBlack Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black\nYellow Black Black\nBlack Black Black\n\nOutput:\nBlack Black Black\nBlack Black Black\nBlack Yellow Black\n\n\nExample 2\nInput:\nBlack Green Black\nBlack Black Black\nBlack Black Black\n\nOutput:\nBlack Black Black\nBlack Black Green\nBlack Black Black\n\n\nExample 3\nInput:\nBlack Black Black\nBlack Black Black\nGreen Black Black\n\nOutput:\nBlack Black Black\nBlack Black Black\nBlack Black Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black\nBlack Black Gray\nBlack Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Black\nBlack Black Black\nBlack Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Yellow Black Black Gray Black Black Black Black Gray\nBlack Black Black Black Black Black Black Blue Black Gray\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Yellow Black Black Black Black Gray\nPink Black Black Black Black Black Black Gray Black Gray\nBlack Black Black Black Black Black Black Black Orange Gray\nBlack Black Black Red Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Green Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Yellow Black Black Gray Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Blue Black Yellow\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Yellow Black Black Black Black Yellow\nPink Black Black Black Black Black Black Gray Black Yellow\nBlack Black Black Black Black Black Black Black Orange Yellow\nBlack Black Black Red Black Black Black Black Gray Yellow\nBlack Black Black Black Black Black Black Black Green Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Green Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Green Gray\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Yellow Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Green Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Yellow Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Red Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Gray\nBrown Black Black Black Red Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Red Gray\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Red Black Black Black Black Black Black Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Red Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Red\nBrown Black Black Black Red Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Red Black Black Black Black Black Black Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Brown Black Orange Black Orange Black Gray\nBlack Brown Black Black Black Black Black Black Black Gray\nBlack Brown Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Yellow Black Gray\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Orange Black Gray\nBlack Black Black Black Black Black Green Black Black Gray\nGreen Black Black Black Blue Black Black Black Red Gray\nBlack Black Black Black Black Black Black Purple 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 Brown Black Orange Black Orange Black Brown\nBlack Brown Black Black Black Black Black Black Black Brown\nBlack Brown Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Yellow Black Brown\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Orange Black Brown\nBlack Black Black Black Black Black Green Black Black Brown\nGreen Black Black Black Blue Black Black Black Red Brown\nBlack Black Black Black Black Black Black Purple Black Brown\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black\nBlack Orange Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black\nBlack Purple Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Black Black Orange 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 Pink Pink Black Black Pink Pink Black\nBlack Pink Pink Black Black Pink Pink Black\nBlack Pink Pink Black Black Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Pink Pink Pink Pink Pink Pink\nOrange Orange Pink Black Black Pink Pink Black\nOrange Orange Pink Black Black Pink Pink Black\nOrange Orange Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Black Black Pink Pink Black\nBlack Pink Pink Black Black Pink Pink Black\nBlack Pink Pink Purple Orange Pink Pink Black\nBlack Pink Pink Black Orange Pink Pink Black\nBlack Pink Pink Black Orange Pink Pink Black\nBlack Pink Pink Black Black Pink Pink Black\nBlack Pink Pink Black Black Pink Pink Black\nBlack Pink Pink Black Black Pink Pink Black\nBlack Pink Pink Black Black Pink Pink Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Gray Black Black Green Black Black Black Black Black\nBlack Orange Black Orange Black Black Black Black Black Black\nBlack Black Pink Black Black Blue Black Black Green Black\n\nOutput:\nOrange Orange Black Black Pink Black Black Black Pink Black\nOrange Orange Black Black Pink Black Black Black Pink Black\nOrange Orange Black Black Pink Black Black Black Pink Black\nBlack Black Blue Black Pink Black Black Black Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Pink Black Black Black Pink Black\nOrange Orange Orange Orange Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Pink Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Black Black Black Black Black Black Black Orange Orange Orange\nPink Red Black Black Pink Black Black Black Orange Orange Orange\nPink Black Black Black Black Black Black Black Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Black Black Black Black Black Brown\nPink Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\nOrange Black Black Pink Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Black Black Black Black Black Pink Black Black\nPink Black Black Black Black Black Pink Black Black\nPink Black Black Black Black Black Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Orange Pink Pink Pink Pink Pink Pink Pink\nPink Orange Black Black Black Black Pink Black Black\nPink Black Black Black Black Black Pink Black Black\nPink Black Orange Orange Orange Black Pink Black Black\nPink Black Orange Orange Orange Black Pink Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple 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 Purple Purple Black Black\nBlack Black Black Black Black Purple Purple 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\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Pink Pink Pink Black Black\nBlack Pink Pink Pink Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Pink Pink Black Black\nBlack Black Pink Pink Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nPurple Purple Purple Black Black Black\nPurple Purple Purple Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Purple Purple Black Black\nBlack Black Purple Purple Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink 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 Black Black Black\nPink Pink Pink Pink Pink 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 Black Black Black\nPink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black 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 Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black 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 Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Black Black\nYellow Yellow Black Black\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Black Black\nGreen Green Black Black\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\n\n\nExample 3\nInput:\nGray Gray Black Black\nGray Gray Black Black\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Black Black\nPurple Purple Black Black\nBlack Black Black Black\nBlack Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\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 Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Red Black Red Black Black Black Black Black Gray Gray Gray Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Red Red Red Black Black Black Black Black Gray Gray Gray Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black 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 Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Orange Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Orange Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Orange Black Black Black Black Orange Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Gray Gray Gray Gray Gray Gray Black Black Black Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Black Gray Gray Gray Gray Gray Gray Black Black Black Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black 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 Green Green Green Green Black\nBlack Black Black Black 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 Green Green Green Green 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 Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black 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 Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Gray Gray Gray Gray Gray Gray Black Black Black Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Black Gray Gray Gray Gray Gray Gray Black Black Black Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nPink Pink Pink Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nPink Pink Pink Black Black Black Red Red Red Black Black Orange Black Orange Black Black Black\nBlack Black Black Black Black Black Red Black Red Black Black Orange Black Orange Black Black Black\nBlack Black Black Black Black Black Red Black Red Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Red Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Red Black\nRed Red Red Red Red Red Black Black Black Black Red Black Black Black Black Red Black\nRed Red Red Red Red Red Black Black Black Black Red Black Black Black Black Red Black\nRed Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink 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 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\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red 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\nBlack Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Black Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Black Black Pink Black Black Black Pink Black Black Brown Brown Brown\nBlack Brown Brown Brown Brown Brown Brown Black Black Pink Black Black Black Pink Black Black Brown Black Brown\nBlack Brown Brown Brown Brown Brown Brown Black Black Pink Pink Pink Pink Pink Black Black Brown Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Purple Purple\nBrown Brown Brown Brown Green Green Green Green\nBrown Brown Brown Brown Green Green Green Green\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow\nRed Red Pink Pink Red Red Yellow Yellow\nRed Red Pink Pink Red Red Yellow Yellow\nOrange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black\nOrange Orange Gray Gray Black Black Black Black\nOrange Orange Gray Gray Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Red Red Brown Brown Brown Brown Black Black\nOrange Orange Orange Orange Red Red Brown Brown Brown Brown Black Black\nGray Gray Orange Orange Pink Pink Brown Brown Brown Brown Black Black\nGray Gray Orange Orange Pink Pink Brown Brown Brown Brown Black Black\nBlack Black Black Black Red Red Yellow Yellow Green Green Black Black\nBlack Black Black Black Red Red Yellow Yellow Green Green Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Green Green Purple Purple\nBlack Black Black Black Yellow Yellow Yellow Yellow Green Green Purple Purple\n\n\nExample 2\nInput:\nPurple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple\nPurple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple\nBlue Blue Pink Pink Purple Purple Pink Pink Blue Blue\nBlue Blue Pink Pink Purple Purple Pink Pink Blue Blue\nGreen Green Pink Pink Pink Pink Pink Pink Green Green\nGreen Green Pink Pink Pink Pink Pink Pink Green Green\nGreen Green Green Green Pink Pink Green Green Green Green\nGreen Green Green Green Pink Pink Green Green Green Green\n\nOutput:\nGreen Green Green Green Blue Blue Purple Purple\nGreen Green Green Green Blue Blue Purple Purple\nGreen Green Pink Pink Pink Pink Yellow Yellow\nGreen Green Pink Pink Pink Pink Yellow Yellow\nPink Pink Pink Pink Purple Purple Purple Purple\nPink Pink Pink Pink Purple Purple Purple Purple\nGreen Green Pink Pink Pink Pink Yellow Yellow\nGreen Green Pink Pink Pink Pink Yellow Yellow\nGreen Green Green Green Blue Blue Purple Purple\nGreen Green Green Green Blue Blue Purple Purple\n\n\nExample 3\nInput:\nBlack Black Purple Purple Blue Blue Purple Purple Black Black\nBlack Black Purple Purple Blue Blue Purple Purple Black Black\nYellow Yellow Purple Purple Blue Blue Red Red Orange Orange\nYellow Yellow Purple Purple Blue Blue Red Red Orange Orange\nYellow Yellow Yellow Yellow Blue Blue Red Red Pink Pink\nYellow Yellow Yellow Yellow Blue Blue Red Red Pink Pink\nGreen Green Red Red Pink Pink Red Red Gray Gray\nGreen Green Red Red Pink Pink Red Red Gray Gray\nOrange Orange Red Red Orange Orange Red Red Red Red\nOrange Orange Red Red Orange Orange Red Red Red Red\n\nOutput:\nOrange Orange Green Green Yellow Yellow Yellow Yellow Black Black\nOrange Orange Green Green Yellow Yellow Yellow Yellow Black Black\nRed Red Red Red Yellow Yellow Purple Purple Purple Purple\nRed Red Red Red Yellow Yellow Purple Purple Purple Purple\nOrange Orange Pink Pink Blue Blue Blue Blue Blue Blue\nOrange Orange Pink Pink Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Purple Purple\nRed Red Red Red Red Red Red Red Purple Purple\nRed Red Gray Gray Pink Pink Orange Orange Black Black\nRed Red Gray Gray Pink Pink Orange Orange Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nBlue Blue Purple Purple Blue Blue\nBlue Blue Purple Purple Blue Blue\nBrown Brown Gray Gray Brown Brown\nBrown Brown Gray Gray Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Blue Blue Purple Purple\nBrown Brown Blue Blue Purple Purple\nGray Gray Purple Purple Purple Purple\nGray Gray Purple Purple Purple Purple\nBrown Brown Blue Blue Purple Purple\nBrown Brown Blue Blue Purple Purple\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue 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 Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue 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 Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange 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\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\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\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\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 Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\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 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 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 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 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\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Red Black Black Gray Green Black\nGray Black Black Black Blue Black Black\nBlue Black Gray Gray Blue Black Black\nBlack Black Green Gray Black Black Black\nBlack Red Black Green Blue Red Gray\nGreen Black Yellow Red Gray Green Black\n\nOutput:\nBlack Red Black Black Gray Yellow Black\nGray Black Black Black Blue Black Black\nBlue Black Gray Gray Blue Black Black\nBlack Black Yellow Gray Black Black Black\nBlack Red Black Yellow Blue Red Gray\nYellow Black Yellow Red Gray Yellow Black\n\n\nExample 2\nInput:\nBlack Black Blue Gray Gray Black\nYellow Black Black Green Black Black\nBlack Black Red Red Black Black\nYellow Black Black Blue Black Green\nBlack Black Green Black Gray Gray\nYellow Yellow Black Black Green Black\nYellow Red Black Yellow Green Blue\n\nOutput:\nBlack Black Blue Gray Gray Black\nYellow Black Black Yellow Black Black\nBlack Black Red Red Black Black\nYellow Black Black Blue Black Yellow\nBlack Black Yellow Black Gray Gray\nYellow Yellow Black Black Yellow Black\nYellow Red Black Yellow Yellow Blue\n\n\nExample 3\nInput:\nBlack Green Red Green Blue Black Black\nBlack Black Black Black Black Gray Yellow\nYellow Yellow Black Black Black Black Gray\nBlack Black Black Black Red Yellow Black\nRed Blue Green Green Green Yellow Yellow\nBlack Yellow Black Gray Green Gray Black\nYellow Black Black Black Blue Black Yellow\n\nOutput:\nBlack Yellow Red Yellow Blue Black Black\nBlack Black Black Black Black Gray Yellow\nYellow Yellow Black Black Black Black Gray\nBlack Black Black Black Red Yellow Black\nRed Blue Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Gray Black\nYellow Black Black Black Blue Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nGray Green Yellow Yellow Black\nBlack Black Black Black Red\nRed Green Black Yellow Gray\nBlack Black Green Black Black\nBlack Black Gray Gray Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Yellow Yellow Yellow Black\nBlack Black Black Black Red\nRed Yellow Black Yellow Gray\nBlack Black Yellow Black Black\nBlack Black Gray Gray 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 Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\n\nOutput:\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\n\n\nExample 2\nInput:\nBlack Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black\n\nOutput:\nBlack Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black\n\n\nExample 3\nInput:\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 Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\n\nOutput:\nBlack Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\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\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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black 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 Yellow Black 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 Yellow Black 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 Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow 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 Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue\nBlack Black Black Red Red Red Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue\nBlack Black Black Red Red Red Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue\nRed Red Red Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue\nRed Red Red Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue\nRed Red Red Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Green Green Green\nBlack Black Black Yellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Green Green Green\nBlack Black Black Yellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Green Green Green\nYellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Green Green Green\nYellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Green Green Green\nYellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Green Green Green\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Green Green Green\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Blue Blue Blue Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Blue Blue Blue\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black\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\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\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\nGreen Green Green Black Black Black Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Green Green Green Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Green Green Green\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown 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 Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Red Red Red Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Black Black Black Blue Blue Blue Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Blue\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Red Red Red Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nGreen Green Green Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nGreen Green Green Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nGreen Green Green Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nGreen Green Green Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Brown Brown Brown Green Green Green\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Brown Brown Brown Green Green Green\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Brown Brown Brown Green Green Green\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Orange Green Blue Blue Green Brown Gray Brown Green Purple Gray Blue Green Purple Red Yellow\nBlack Black Black Black Black Blue Red Gray Black Black Black Black Black Black Black Black Black\nYellow Green Gray Purple Gray Red Green Gray Green Orange Pink Red Purple Green Yellow Pink Brown\nPurple Purple Green Orange Purple Blue Yellow Brown Orange Pink Yellow Orange Gray Red Purple Blue Blue\nBlack Black Black Black Black Gray Gray Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Brown Gray Black Black Black Black Black Black Black Black Black\nRed Purple Purple Orange Yellow Gray Pink Purple Red Purple Orange Green Brown Green Brown Gray Green\nPink Pink Red Red Yellow Gray Brown Purple Red Orange Green Brown Red Brown Purple Yellow Purple\nBlack Black Black Black Black Green Pink Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Pink Purple Black Black Black Black Black Black Black Black Black\nGreen Red Green Blue Gray Gray Gray Blue Brown Pink Orange Purple Orange Green Pink Brown Gray\nBlack Black Black Black Black Pink Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Red Brown Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Green Brown Gray Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Green Brown Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Green Gray Purple Gray Green Brown Gray Green Orange Pink Red Purple Green Yellow Pink Brown\nBlack Black Black Black Black Green Brown Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Brown Gray Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Green Brown Gray Red Red Red Red Red Red Red Red Red\nRed Purple Purple Orange Yellow Green Brown Gray Red Purple Orange Green Brown Green Brown Gray Green\nBlack Black Black Black Black Green Brown Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Brown Gray Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Brown Gray Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Green Brown Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Brown Gray Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPink Brown Red Purple Gray Purple Orange Brown Red Orange Brown Blue Red Red Green\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black Purple\nOrange Yellow Red Gray Gray Green Pink Gray Green Blue Yellow Blue Brown Orange Pink\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Red\nGray Gray Yellow Orange Orange Pink Gray Orange Red Yellow Gray Red Blue Green Green\nPurple Red Purple Red Green Pink Blue Red Red Purple Orange Green Gray Brown Orange\nPurple Red Green Purple Pink Yellow Pink Brown Green Yellow Yellow Green Brown Orange Gray\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Blue Blue Orange Yellow Gray Blue Green Red Purple Brown Pink Brown Gray Blue\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Yellow\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Green\nOrange Orange Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Green\nGray Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green\nGray Gray Red Orange Orange Pink Gray Orange Red Yellow Gray Red Blue Green Green\nGray Gray Red Orange Orange Pink Gray Orange Red Yellow Gray Red Blue Green Green\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Green\nGray Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Green\n\n\nExample 3\nInput:\nGray Black Black Black Black Black Red Black Black Orange Brown Black Black Black Black Black\nPink Black Black Black Black Black Gray Black Black Yellow Blue Black Black Black Black Black\nBrown Black Black Black Black Black Brown Black Black Pink Purple Black Black Black Black Black\nYellow Black Black Black Black Black Brown Black Black Red Gray Black Black Black Black Black\nBrown Black Black Black Black Black Pink Black Black Gray Gray Black Black Black Black Black\nBlue Green Orange Purple Gray Blue Gray Orange Green Green Gray Yellow Red Orange Red Blue\nBlue Yellow Pink Gray Red Blue Green Blue Blue Red Green Green Pink Blue Red Blue\nOrange Black Black Black Black Black Blue Black Black Gray Orange Black Black Black Black Black\nRed Red Green Brown Blue Pink Orange Pink Green Purple Brown Purple Red Gray Pink Gray\nGray Pink Green Purple Blue Brown Blue Pink Orange Purple Gray Yellow Red Gray Pink Brown\nGray Blue Green Green Pink Purple Yellow Gray Gray Blue Yellow Purple Pink Gray Blue Yellow\nYellow Black Black Black Black Black Blue Black Black Purple Red Black Black Black Black Black\n\nOutput:\nGray Black Black Black Black Black Red Black Black Orange Orange Black Black Black Black Black\nGray Black Black Black Black Black Red Black Black Orange Brown Black Black Black Black Black\nGray Black Black Black Black Black Red Black Black Orange Brown Black Black Black Black Black\nGray Black Black Black Black Black Red Black Black Orange Brown Black Black Black Black Black\nGray Black Black Black Black Black Red Black Black Orange Brown Black Black Black Black Black\nGray Blue Blue Blue Blue Blue Red Blue Blue Orange Brown Blue Blue Blue Blue Blue\nGray Green Orange Purple Gray Blue Red Orange Green Orange Brown Yellow Red Orange Red Blue\nGray Black Black Black Black Black Red Black Black Orange Brown Black Black Black Black Black\nGray Red Red Red Red Red Red Red Red Orange Brown Red Red Red Red Red\nGray Red Green Brown Blue Pink Red Pink Green Orange Brown Purple Red Gray Pink Gray\nGray Red Green Brown Blue Pink Red Pink Green Orange Brown Purple Red Gray Pink Gray\nGray Black Black Black Black Black Red Black Black Orange Brown Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Pink Brown Green Pink Pink Gray Purple Brown Green Orange Orange Blue Gray\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nRed Green Yellow Brown Blue Gray Brown Red Red Orange Yellow Pink Blue Purple\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBrown Brown Brown Red Green Orange Yellow Blue Green Red Green Brown Red Red\nRed Green Brown Red Purple Pink Brown Orange Purple Blue Blue Orange Gray Purple\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black Black Black\nGreen Yellow Blue Green Blue Blue Orange Red Pink Brown Brown Green Gray Purple\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black\nPurple Orange Purple Blue Orange Brown Blue Blue Gray Brown Yellow Purple Yellow Red\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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```\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nRed Red Red Red Red Pink Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Pink Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Red Green Pink Yellow Blue Green Red Green Brown Red Red\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Pink Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Pink Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black\nBlack Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Purple\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Red Black Black\nBlue Blue Black Black Red Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Orange Blue Black Black\nBlack Black Black Orange Blue Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple\nBlack Black Black Yellow Yellow Purple Purple\nBlack Black Black Black Gray Black Black\nBlack Black Black Black Gray Red Red\nBlack Black Black Black Black Red Red\nBlack Black Black Black Green Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue 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 Brown Black\nBlack Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Pink Black Black\nBlack Black Black Black Gray Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue 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:\nBrown Purple Gray\nPink Yellow Pink\nYellow Purple Orange\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Brown Purple Gray Black\nBlack Pink Yellow Pink Black\nBlack Yellow Purple Orange Black\n\n\nExample 2\nInput:\nGreen Pink Blue\nYellow Blue Red\nGreen Pink Orange\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Green Pink Blue Black\nBlack Yellow Blue Red Black\nBlack Green Pink Orange Black\n\n\nExample 3\nInput:\nRed Green Blue\nBrown Yellow Yellow\nGreen Orange Gray\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Red Green Blue Black\nBlack Brown Yellow Yellow Black\nBlack Green Orange Gray Black\n\n\nHere is the input grid for the test example:\nInput:\nBrown Gray Brown\nGray Green Pink\nGray Gray Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Brown Gray Brown Black\nBlack Gray Green Pink Black\nBlack Gray Gray Pink Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Pink Black\nPink Pink Pink\nBlack Pink 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 Blue Black Blue Black Black Black Black Black\nBlack Black Black Blue Blue Black Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue 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\n\nOutput:\nBlack Blue Blue Blue Black\nBlue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Black Blue Blue\nBlack Blue Black Blue 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 Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Pink Pink\nPink Pink Pink\nBlack Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Red Black Black Black Purple Purple Black\nBlack Purple Purple Purple Purple Red Red Purple Purple Black\nBlack Black Red Red Red Red Red Purple Red Black\nBlack Black Red Red Red Red Red Purple Black Black\nBlack Black Purple Red Red Red Red Red Black Black\nBlack Red Purple Red Red Red Red Red Black Black\nBlack Purple Purple Red Red Purple Purple Purple Purple Black\nBlack Purple Purple Black Black Black Red Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Red Red Black\nBlack Red Red Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Black Black\nBlack Red Red Red Red Red Red Red Black Black\nBlack Red Red Red Red Red Red Red Red Black\nBlack Red Red Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black\nBlack Gray Gray Gray Gray Gray Gray Black\nBlack Purple Purple Gray Gray Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Black\nBlack Purple Red Red Red Red Purple Black\nBlack Red Purple Black Black Purple Red Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Purple Black\nBlack Purple Purple Black Black Purple Purple Black\nBlack 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 Blue Orange Blue Black Black Black Black Blue Orange Blue Black\nBlack Green Green Green Orange Black Black Orange Green Green Green Black\nBlack Orange Green Blue Black Black Black Black Blue Green Orange Black\nBlack Orange Green Green Blue Blue Blue Blue Green Green Orange Black\nBlack Orange Orange Blue Blue Blue Blue Blue Blue Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Green Green Green Green Orange Orange Orange Black\nBlack Orange Blue Blue Green Blue Blue Green Blue Blue Orange Black\nBlack Orange Green Green Black Black Black Black Green Green Orange Black\nBlack Green Green Green Black Black Black Black Green Green Green 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 Orange Orange Orange Black Black Black Black Orange Orange Orange Black\nBlack Orange Orange Orange Orange Black Black Orange Orange Orange Orange Black\nBlack Orange Orange Orange Black Black Black Black Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Black Black Black Black Orange Orange Orange Black\nBlack Orange Orange Orange Black Black Black Black Orange Orange Orange 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\nBlack Gray Orange Orange Gray Black Black Black\nBlack Orange Gray Orange Gray Gray Black Black\nBlack Orange Orange Gray Pink Gray Orange Black\nBlack Gray Gray Pink Green Orange Pink Black\nBlack Black Gray Gray Orange Orange Orange Black\nBlack Black Black Orange Pink Orange Pink Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Black\nBlack Black Orange Orange Orange Orange Orange Black\nBlack Black Black Orange Orange Orange Orange 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 Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange\nPink Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Black Orange Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Black Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Gray Gray Gray Gray Black Black Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Black Black Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Black Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Black Pink Pink Pink Pink\nBlack Pink Pink Pink Black Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink Pink Pink\nBlack Pink Pink Pink Black Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Pink\nGray Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\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 Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\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 Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nPink 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\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown\n\n\nExample 3\nInput:\nGreen Green Green Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green\nGreen Green Green Green Green Green Black Black Black Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Purple Purple Purple\n```",
"role": "assistant"
}
]
|
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