messages
listlengths 3
3
|
|---|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Black Black 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 Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Yellow 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 Black Yellow Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Yellow Black 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 Yellow Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink\nBlack Black Black Black Black Pink Black\nPink Black Black Black Pink Black Black\nBlack Pink Black Pink Black Black Black\nBlack Black Pink Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOrange 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 Black\nBlack Black Black Orange Black Black Black\nBlack Black Orange Black Black Black Black\nBlack Orange Black Black Black Black Black\nOrange Black Black Black Black Black Black\nBlack Orange Black Black Black Black 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 Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Gray\nBlack Gray Black Black Black Black Black Gray Black\nBlack Black Gray Black Black Black Gray Black Black\nBlack Black Black Gray Black Gray Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Gray Black Gray Black Black Black\nBlack Black Gray Black Black Black Gray Black Black\nBlack Gray Black Black Black Black Black Gray Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Blue Green Yellow Green Blue\nBlue Green Blue Blue Blue Red\nGreen Green Yellow Red Blue Blue\nGreen Blue Blue Red Blue Red\nBlue Yellow Yellow Blue Red Yellow\nGreen Blue Red Blue Red Green\nGreen Green Blue Green Green Red\nGreen Red Yellow Blue Yellow Red\n\nOutput:\nYellow Yellow Yellow Red Yellow Yellow Red Green\nBlue Yellow Red Green Red Yellow Yellow Red\nGreen Red Blue Green Red Green Red Yellow\nRed Yellow Red Red Blue Blue Red Green\nGreen Yellow Blue Blue Red Red Red Yellow\nBlue Blue Yellow Green Blue Red Blue Red\n\n\nExample 2\nInput:\nBlue Blue Yellow Red Yellow Blue Green Blue\nGreen Red Red Green Red Blue Green Red\nGreen Green Yellow Red Yellow Red Red Red\nRed Blue Blue Red Red Yellow Yellow Yellow\nYellow Yellow Red Green Blue Red Blue Red\n\nOutput:\nGreen Blue Yellow Yellow Red\nGreen Red Yellow Blue Red\nBlue Red Green Blue Green\nYellow Blue Blue Yellow Blue\nRed Blue Green Blue Green\nBlue Green Blue Red Red\nRed Green Blue Yellow Yellow\nBlue Green Blue Blue Red\n\n\nExample 3\nInput:\nRed Red Yellow Yellow Yellow Blue Green Green Green\nGreen Red Blue Red Blue Yellow Green Yellow Blue\nRed Green Green Green Red Green Yellow Yellow Blue\nBlue Blue Red Blue Yellow Red Red Yellow Green\nRed Blue Blue Yellow Red Green Yellow Green Yellow\n\nOutput:\nBlue Red Blue Yellow Blue\nRed Red Yellow Blue Blue\nRed Blue Yellow Red Green\nGreen Red Yellow Blue Green\nBlue Green Blue Red Green\nYellow Blue Yellow Green Red\nGreen Blue Green Yellow Yellow\nYellow Green Green Green Yellow\nGreen Yellow Red Red Yellow\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Red Green Red Blue Green\nYellow Red Red Yellow Blue Red Red\nGreen Red Yellow Green Red Green Red\nYellow Red Yellow Green Blue Green Green\nGreen Yellow Yellow Red Blue Yellow Yellow\nRed Blue Blue Green Green Yellow Yellow\nRed Red Green Red Green Green Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Yellow Green Yellow Green Yellow\nBlue Red Green Blue Blue Blue Yellow\nYellow Red Green Green Green Blue Blue\nBlue Yellow Blue Yellow Yellow Green Yellow\nYellow Yellow Red Red Blue Red Blue\nYellow Green Green Yellow Yellow Blue Red\nYellow Green Green Yellow Blue Blue Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black\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 Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black 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\n\nExample 3\nInput:\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black 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```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and 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 Green Black Green Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green 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 Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray 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 Blue Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Green Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Gray Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Gray Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Red Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Red Gray Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Red Brown Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Brown Black Black Brown Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Green Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green 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 Black Black Black Black Black Black Brown Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Red Green Black Brown 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Orange Green Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange 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 Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Orange Black Black Yellow Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Yellow Black Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow 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 Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Orange Yellow Black Orange Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Gray Black Gray\nBlack Black Black Black Red Gray Black Black Black Black\nBlack Black Black Black Black Red Black Black Gray Black\nBlack Black Black Black Black Gray Red Black Gray Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Gray Black Red Black\nBlack Black Black Black Black Black Black Gray Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Red Gray Red Gray\nBlack Black Black Red Red Gray Black Black Black Black\nBlack Black Black Black Red Red Black Red Gray Black\nBlack Black Black Black Red Gray Red Red Gray Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Red Gray Red Red Black\nBlack Black Black Black Black Black Red Gray Black Black\n\n\nExample 2\nInput:\nBlack Gray Black Black Gray Black Black Black Black Black\nBlack Red Black Black Black Black Gray Black Black Black\nBlack Black Red Black Black Gray Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Gray Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Gray Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Red Gray Black\nBlack Black Black Black Black Black Black Black Red Black\nGray Black Black Black Black Black Black Black Gray Black\n\nOutput:\nRed Gray Black Red Gray Black Black Black Black Black\nRed Red Black Black Black Red Gray Black Black Black\nBlack Red Red Black Red Gray Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Red Gray Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Red Gray Black Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Gray Black\nBlack Black Black Black Black Black Black Red Red Black\nGray Black Black Black Black Black Black Red Gray Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Red Black Black Black Black Black Black Black Gray\nGray Black Red Black Black Black Gray Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Gray Black Black Gray Black\nBlack Black Black Black Black Red Gray Black Black Black\nBlack Black Black Black Black Black Red Gray Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red Gray Black Black\nRed Red Black Black Black Black Black Black Red Gray\nGray Red Red Black Black Red Gray Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Gray Black Red Gray Black\nBlack Black Black Black Red Red Gray Black Black Black\nBlack Black Black Black Black Red Red Gray Black Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Gray Black Red Gray Black Black Gray Black\nBlack Black Black Black Black Red Black Black Gray Gray\nBlack Black Black Black Black Gray Red Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Red Gray Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Red Gray Red Red Gray Black Red Gray Black\nBlack Black Black Black Red Red Black Red Gray Gray\nBlack Black Black Black Red Gray Red Black Black Red\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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 Pink Brown Purple Black Black Black\nBlack Black Gray Pink Orange 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:\nPink Brown Pink Brown Purple Black\nGray Pink Gray Pink Orange Black\nGray Pink Gray Pink Orange Black\nPink Brown Pink Brown Purple Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Blue Black Black Black\nBlack Black Red Green 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:\nYellow Blue Yellow Blue\nRed Green Red Green\nYellow Blue Yellow Blue\nRed Green Red Green\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 Yellow Yellow Black Black Black Black Black\nBlack Black Red Green 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:\nYellow Yellow Yellow Yellow\nRed Green Red Green\nYellow Yellow Yellow Yellow\nRed Green Red Green\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 Gray Green Pink Black Black Black\nBlack Black Black Brown Gray Brown Black Black Black\nBlack Black Black Blue Pink Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Green Pink Gray Green Pink\nBrown Gray Brown Brown Gray Brown\nBlue Pink Gray Blue Pink Gray\nGray Green Pink Gray Green Pink\nBrown Gray Brown Brown Gray Brown\nBlue Pink Gray Blue Pink Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black 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 Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Pink Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Pink Orange Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Brown Pink Green Green\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 Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Pink Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Brown Pink 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Purple Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Blue Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Green Brown Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Orange Gray Brown Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Blue Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Green Brown Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Yellow Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Orange Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Yellow Yellow Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Green Black Black\nBlack 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 Purple Green 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 Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Gray 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\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 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\nBlack Black Black Black Black Black Black Black Black Black 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```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Blue Blue Red Green Blue Blue Black Green Black Yellow Blue\nYellow Yellow Black Green Black Yellow Blue Black Black Black Black Blue\nBlack Black Red Red Black Red Black Green Yellow Blue Red Black\nRed Red Blue Green Green Red Black Red Yellow Green Black Blue\nYellow Green Black Blue Black Green Green Yellow Black Black Black Red\nBlue Black Black Black Black Black Red Green Black Green Yellow Black\nYellow Yellow Blue Blue Blue Green Red Black Blue Red Blue Yellow\nYellow Red Red Yellow Red Red Green Black Green Green Green Yellow\n\nOutput:\nBlue Blue Black Yellow Green Black Green Green\nRed Green Blue Black Black Yellow Black Blue\nRed Yellow Red Black Red Green Black Black\nRed Green Black Black Blue Blue Black Red\nBlack Black Red Blue Yellow Red Black Black\nRed Yellow Yellow Red Black Black Green Green\nYellow Red Black Red Yellow Yellow Blue Green\nYellow Green Black Black Red Black Black Red\nBlue Green Black Green Red Yellow Red Yellow\nYellow Green Black Black Green Yellow Black Green\nYellow Blue Black Red Yellow Black Blue Green\nBlue Blue Green Blue Yellow Black Blue Black\n\n\nExample 2\nInput:\nGreen Black Blue Black Black Yellow Yellow Green Black Black\nBlack Green Green Yellow Blue Blue Black Blue Green Green\nRed Black Blue Blue Green Yellow Red Black Red Green\nBlack Green Blue Blue Black Yellow Red Yellow Black Red\nRed Black Black Yellow Red Blue Yellow Green Yellow Yellow\nBlack Green Red Black Red Black Black Blue Black Black\nYellow Black Black Black Green Blue Blue Blue Black Black\n\nOutput:\nBlack Black Blue Yellow Red Red Black\nBlack Black Blue Black Yellow Red Black\nGreen Green Red Blue Black Green Red\nGreen Black Blue Yellow Yellow Black Blue\nGreen Black Green Blue Blue Green Blue\nRed Yellow Yellow Black Red Green Black\nBlack Black Blue Green Green Blue Black\nBlack Yellow Black Green Green Red Green\nBlack Red Black Red Black Red Black\nBlue Black Yellow Black Yellow Black Red\n\n\nExample 3\nInput:\nGreen Blue Yellow Blue Green Blue Yellow Yellow Black Blue Black\nRed Black Blue Yellow Green Black Blue Red Green Green Red\nBlack Blue Red Black Yellow Green Green Blue Yellow Yellow Blue\nRed Black Black Yellow Red Green Red Green Blue Black Blue\nBlue Red Red Yellow Blue Blue Green Blue Green Red Yellow\nBlue Black Black Black Black Black Black Green Black Blue Black\nYellow Black Red Green Yellow Black Red Green Black Yellow Black\n\nOutput:\nBlack Black Blue Green Green Yellow Black\nBlue Green Yellow Black Blue Red Green\nBlack Black Red Green Blue Red Black\nRed Red Green Red Green Yellow Blue\nYellow Black Red Yellow Red Green Blue\nBlack Black Green Red Red Black Green\nBlue Black Green Yellow Blue Red Red\nRed Black Blue Blue Black Blue Green\nYellow Black Yellow Black Yellow Green Blue\nBlack Black Yellow Black Green Black Green\nBlue Green Green Yellow Black Yellow Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red Green Green Red Green Yellow Red Black\nYellow Black Blue Red Black Green Black Red Yellow\nYellow Blue Green Black Blue Black Red Black Blue\nBlack Blue Yellow Green Blue Yellow Black Green Black\nRed Yellow Black Green Black Black Black Green Yellow\nBlack Green Blue Green Red Blue Black Black Yellow\nBlack Yellow Black Green Green Red Blue Red Red\nYellow Black Red Green Black Yellow Blue Black Black\nBlack Blue Black Black Blue Green Red Red Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Black Yellow Blue Blue Black Green Blue Black\nYellow Black Yellow Black Red Red Black Yellow Yellow\nYellow Green Green Black Black Black Yellow Black Blue\nRed Blue Yellow Green Black Blue Black Red Red\nGreen Black Red Yellow Black Green Green Black Yellow\nBlack Red Red Red Red Red Black Yellow Red\nBlack Yellow Black Green Black Blue Red Green Red\nGreen Black Blue Red Blue Green Green Black Yellow\nBlack Blue Black Black Yellow Black Blue Blue Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Orange Orange Black Black\nYellow Yellow Yellow Yellow 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 Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple 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 Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Black\nGray Gray Gray Gray Gray Black Black Black Purple Purple Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black\nBlack Black Pink Pink Pink Pink Black Green Green Green Black\nBlack Black Pink Pink Pink Pink Black Green Black Green Black\nBlack Black Pink Pink Pink Pink Black Orange Orange Orange Orange\nBlack Black Pink Pink Pink Pink Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Orange\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 Blue Blue Blue Black\nBlack Black Orange Orange Orange Orange Black Blue Blue Blue Black\nBlack Black Orange Orange Orange Orange Black Blue Black Blue Black\nBlack Black Orange Orange Orange Orange Black Purple Purple Purple Purple\nBlack Black Orange Orange Orange Orange Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Orange Black Black Gray Black Black\nBlack Black Black Orange Orange Orange Black Gray Black Black\nBlack Black Black Orange Orange Orange Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Purple Black Black Pink Black Black\nBlack Black Black Purple Purple Purple Black Pink Black Black\nBlack Black Black Purple Purple Purple Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow 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 Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Blue Blue Blue Blue Black\nBlue Blue Blue Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Black\nBlue Blue Blue Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlue Blue Blue Blue Black Black Blue Blue Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black\nBlue Blue Blue Blue Black Black Red Red Red Red Red Red Red Red Red Red Black\nBlue Blue Blue Blue Black Black Red Red Red Red Red Red Red Red Red Red Black\nBlue Blue Blue Blue Black Black Red Red Red Red Red Red Red Red Red Red Black\nBlue Blue Blue Blue Black Black Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Yellow Red Black Black Black Black Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Red Black Black Black Red Red Red Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Red Black Black Black Red Red Red Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Red Red Red Black\nYellow Yellow Yellow Yellow Black Black Black Black Red Red Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Red Red Red Red Black Black Black\nYellow Yellow Yellow Black Red Red Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Red Red Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Blue Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Blue Yellow Yellow Yellow Red Red Black Black Black Black\nBlack Black Black Blue Blue Black Blue Yellow Yellow Yellow Red Red Red Red Black Black\nBlack Black Black Yellow Yellow Black Blue Blue Blue Blue Red Red Red Red Black Black\nBlack Black Black Yellow Yellow Blue Blue Blue Blue Black Red Red Red Red Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Red Red Red Red Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Black Black Red Red Red Black Blue Blue Black Black Black\nBlue Blue Blue Black Black Blue Blue Blue Black Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Red Red Red Red Red Red Red Black Black Black\nBlue Blue Blue Black Red Red Red Red Red Red Red Black Black Black\nBlue Blue Blue Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange 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:\nOrange Purple Orange Purple Orange Purple Orange Purple\nPurple Orange Purple Orange Purple Orange Purple Orange\nOrange Purple Orange Purple Orange Purple Orange Purple\nPurple Orange Purple Orange Purple Orange Purple Orange\nOrange Purple Orange Purple Orange Purple Orange Purple\nPurple Orange Purple Orange Purple Orange Purple Orange\nOrange Purple Orange Purple Orange Purple Orange Purple\nPurple Orange Purple Orange Purple Orange Purple Orange\n\n\nExample 2\nInput:\nOrange 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:\nOrange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange\n\n\nExample 3\nInput:\nOrange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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:\nOrange Purple Orange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange Purple Orange\n\n\nHere is the input grid for the test example:\nInput:\nOrange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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```\nOrange Purple Orange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange Purple Orange\nPurple Orange Purple Orange Purple Orange Purple Orange Purple\nOrange Purple Orange Purple Orange Purple Orange Purple Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Blue Red Blue Red\nBlue Red Blue Red Blue\nRed Blue Red Blue Red\nBlue Red Blue Red Blue\nRed Blue Red Blue Red\n\nOutput:\nYellow Purple Yellow Purple Yellow\nRed Green Red Green Red\nYellow Purple Yellow Purple Yellow\nRed Green Red Green Red\nYellow Purple Yellow Purple Yellow\n\n\nExample 2\nInput:\nPurple Blue Purple Blue Purple Blue\nBlue Purple Blue Purple Blue Purple\nPurple Blue Purple Blue Purple Blue\nBlue Purple Blue Purple Blue Purple\nPurple Blue Purple Blue Purple Blue\nBlue Purple Blue Purple Blue Purple\n\nOutput:\nYellow Purple Yellow Purple Yellow Purple\nRed Green Red Green Red Green\nYellow Purple Yellow Purple Yellow Purple\nRed Green Red Green Red Green\nYellow Purple Yellow Purple Yellow Purple\nRed Green Red Green Red Green\n\n\nExample 3\nInput:\nYellow Blue Yellow Blue Yellow Blue\nBlue Yellow Blue Yellow Blue Yellow\nYellow Blue Yellow Blue Yellow Blue\nBlue Yellow Blue Yellow Blue Yellow\nYellow Blue Yellow Blue Yellow Blue\nBlue Yellow Blue Yellow Blue Yellow\n\nOutput:\nYellow Purple Yellow Purple Yellow Purple\nRed Green Red Green Red Green\nYellow Purple Yellow Purple Yellow Purple\nRed Green Red Green Red Green\nYellow Purple Yellow Purple Yellow Purple\nRed Green Red Green Red Green\n\n\nHere is the input grid for the test example:\nInput:\nGreen Red Green Red\nRed Green Red Green\nGreen Red Green Red\nRed Green Red Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Purple Yellow Purple\nRed Green Red Green\nYellow Purple Yellow Purple\nRed 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:\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Purple Black Purple Black Purple Purple Pink\nPink Purple Purple Purple Black Purple Black Pink\nPink Purple Black Purple Purple Purple Purple Pink\nPink Purple Purple Purple Purple Purple Purple Pink\nPink Purple Purple Black Purple Purple Purple Pink\nPink Purple Black Black Purple Purple Purple Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Blue Blue Blue Blue Blue Yellow\nYellow Blue Blue Black Blue Blue Yellow\nYellow Black Blue Blue Blue Blue Yellow\nYellow Blue Blue Blue Blue Blue Yellow\nYellow Black Black Blue Blue Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Black Black Yellow Black Black Yellow Yellow Brown\nBrown Yellow Yellow Black Yellow Black Yellow Yellow Brown\nBrown Black Black Yellow Yellow Black Yellow Yellow Brown\nBrown Yellow Yellow Yellow Black Black Yellow Yellow Brown\nBrown Black Yellow Yellow Yellow Black Black Black Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\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\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Gray Gray Black Black Gray Gray Gray Pink\nPink Gray Black Black Gray Black Gray Gray Pink\nPink Gray Gray Black Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Black Gray Pink\nPink Gray Gray Gray Black Black Black Gray Pink\nPink Gray Black Gray Gray Black Gray Black Pink\nPink Black Gray Gray Black Gray Black Gray Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Brown Brown\nGreen Pink Brown\nYellow Green Purple\n\nOutput:\nYellow Green Purple Yellow Green Purple\nGreen Pink Brown Green Pink Brown\nPurple Brown Brown Purple Brown Brown\nYellow Green Purple Yellow Green Purple\nGreen Pink Brown Green Pink Brown\nPurple Brown Brown Purple Brown Brown\n\n\nExample 2\nInput:\nBrown Gray Brown\nBrown Gray Brown\nBrown Green Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown\nGreen Gray Gray Green Gray Gray\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nGreen Gray Gray Green Gray Gray\nBrown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nRed Blue Yellow\nPink Brown Pink\nPink Pink Pink\n\nOutput:\nPink Pink Red Pink Pink Red\nPink Brown Blue Pink Brown Blue\nPink Pink Yellow Pink Pink Yellow\nPink Pink Red Pink Pink Red\nPink Brown Blue Pink Brown Blue\nPink Pink Yellow Pink Pink Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue\nBlue Yellow Blue\nBlue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue\nBlue Yellow Blue Blue Yellow Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Yellow Blue Blue Yellow Blue\nBlue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Purple\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nOrange Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Pink Black Black Yellow Black Yellow Black Black\nBrown Black Black Black Black Black Pink Black Black Black Purple Black Black Black Black Black Black\nPink Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Purple Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Red Black Black Black Black Red Orange\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Gray\nBlack Black Black Blue Purple Black Green Purple Black Black Black Pink Black Pink Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Gray Black Black Yellow Brown Black Black Black Brown Black Orange Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Brown Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Blue Black Black Black Purple Black Black Purple Black Black Black Blue Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Brown Black Black Pink\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nPurple Black Gray Black Black Black Green 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\nYellow Black Black Black Black Black Brown Black Black Black Pink Black Black Blue Black Red\nBlack Black Black Brown Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Blue Black Black Black Blue Black Orange\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Purple\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Orange Black Blue Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Yellow Black Black Brown Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Gray Pink Black Black Black Orange Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Blue Black Blue Black Blue\nBlack Black Black Black Black Black Black Black Blue Black\nBlue Black Blue Blue Black Blue Blue Black Blue Blue\nBlack Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\n\nOutput:\nBlack Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Blue Blue Black Blue Black Blue Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Blue Black Black Blue Black Black Black Black\nBlue Black Black Black Black Black Blue Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Blue Black Blue Black Black\nBlue Black Black Blue Black Black Black Black Blue Black\n\nOutput:\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlue Black Black Black Black Black Black Blue Black Black\nBlack Black Black Blue Black Black Black Black Black Blue\nBlue Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Blue Black Black Blue Black Blue Black\nBlack Black Black Black Black Blue Black Black Blue Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack 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 Blue Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Blue Black Black\nBlue Black Blue Black Blue Blue Black Black Blue Black\nBlack Black Black Black Black Blue Black Black Blue Blue\nBlack Black Black Black Black Blue Blue Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Blue Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray 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 Black Black Black Black\nBlack Black Black Black Black 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 Gray Gray Gray Gray 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and 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 Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Pink 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Pink 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Orange Purple Pink Pink Brown Brown Brown Yellow Purple\nPurple Yellow Purple Pink Pink Pink Orange Brown Yellow Purple\nPurple Black Black Orange Green Orange Gray Gray Yellow Purple\nPurple Black Black Black Green Yellow Yellow Gray Green Purple\nPurple Black Black Black Black Black Yellow Yellow Red Purple\nPurple Black Black Black Black Black Yellow Yellow Red Purple\nPurple Black Black Black Green Yellow Yellow Gray Green Purple\nPurple Black Black Orange Green Orange Gray Gray Yellow Purple\nPurple Yellow Purple Pink Pink Pink Orange Brown Yellow Purple\nPurple Orange Purple Pink Pink Brown Brown Brown Yellow Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nOrange Purple Pink Pink Brown Brown Brown Yellow\nYellow Purple Pink Pink Pink Orange Brown Yellow\nBlack Black Orange Green Orange Gray Gray Yellow\nBlack Black Black Green Yellow Yellow Gray Green\nBlack Black Black Black Black Yellow Yellow Red\nBlack Black Black Black Black Yellow Yellow Red\nBlack Black Black Green Yellow Yellow Gray Green\nBlack Black Orange Green Orange Gray Gray Yellow\nYellow Purple Pink Pink Pink Orange Brown Yellow\nOrange Purple Pink Pink Brown Brown Brown Yellow\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Purple Black Black Purple Black Orange Orange Orange\nOrange Orange Orange Gray Pink Pink Pink Pink Gray Orange Orange Orange\nOrange Orange Pink Pink Purple Pink Pink Purple Pink Pink Orange Orange\nOrange Gray Gray Orange Green Green Green Green Orange Gray Gray Orange\nOrange Gray Yellow Orange Orange Green Green Orange Orange Yellow Gray Orange\nOrange Gray Yellow Orange Orange Green Green Orange Orange Yellow Gray Orange\nOrange Gray Black Purple Pink Orange Orange Pink Purple Black Gray Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Black Purple Black Black Purple Black Orange Orange\nOrange Orange Gray Pink Pink Pink Pink Gray Orange Orange\nOrange Pink Pink Purple Pink Pink Purple Pink Pink Orange\nGray Gray Orange Green Green Green Green Orange Gray Gray\nGray Yellow Orange Orange Green Green Orange Orange Yellow Gray\nGray Yellow Orange Orange Green Green Orange Orange Yellow Gray\nGray Black Purple Pink Orange Orange Pink Purple Black Gray\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Yellow Yellow Black Black Black Black Black Yellow Yellow Black Gray\nGray Yellow Blue Yellow Black Black Black Black Black Yellow Blue Yellow Gray\nGray Pink Blue Black Black Orange Purple Orange Black Black Blue Pink Gray\nGray Brown Brown Blue Blue Blue Blue Blue Blue Blue Brown Brown Gray\nGray Brown Pink Pink Yellow Yellow Pink Yellow Yellow Pink Pink Brown Gray\nGray Orange Brown Orange Orange Red Gray Red Orange Orange Brown Orange Gray\nGray Blue Blue Yellow Brown Gray Brown Gray Brown Yellow Blue Blue Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nBlack Yellow Yellow Black Black Black Black Black Yellow Yellow Black\nYellow Blue Yellow Black Black Black Black Black Yellow Blue Yellow\nPink Blue Black Black Orange Purple Orange Black Black Blue Pink\nBrown Brown Blue Blue Blue Blue Blue Blue Blue Brown Brown\nBrown Pink Pink Yellow Yellow Pink Yellow Yellow Pink Pink Brown\nOrange Brown Orange Orange Red Gray Red Orange Orange Brown Orange\nBlue Blue Yellow Brown Gray Brown Gray Brown Yellow Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Blue Purple Black Black Black Black Pink\nPink Black Black Gray Purple Purple Black Black Black Black Pink\nPink Black Black Black Blue Blue Green Black Gray Black Pink\nPink Black Black Green Blue Yellow Blue Blue Purple Blue Pink\nPink Purple Purple Blue Yellow Red Yellow Blue Purple Purple Pink\nPink Blue Purple Blue Blue Yellow Blue Green Black Black Pink\nPink Black Gray Black Green Blue Blue Black Black Black Pink\nPink Black Black Black Black Purple Purple Gray Black Black Pink\nPink Black Black Black Black Purple Blue Black Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Blue Purple Black Black Black Black\nBlack Black Gray Purple Purple Black Black Black Black\nBlack Black Black Blue Blue Green Black Gray Black\nBlack Black Green Blue Yellow Blue Blue Purple Blue\nPurple Purple Blue Yellow Red Yellow Blue Purple Purple\nBlue Purple Blue Blue Yellow Blue Green Black Black\nBlack Gray Black Green Blue Blue Black Black Black\nBlack Black Black Black Purple Purple Gray Black Black\nBlack Black Black Black Purple Blue Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Red Red 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black\nRed 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Red Red 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Brown Purple Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Black Black Black Black Black 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 Red Brown Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Brown Brown Brown Brown Brown Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Brown Brown Brown Brown Brown Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Brown Brown Brown Brown Brown Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Brown Brown Brown Brown Brown Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Brown Brown Brown Brown Brown Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\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 Gray Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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```\nGray Gray Gray Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Blue Blue Blue Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Green Green Black\nBlack Black Black Black Black Black Red Red Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Green Green 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Red Red Green Green Black Black\nBlack Black Black Black Black Black Black Black Red Red Green Green 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 Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black 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 Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue Blue Black Blue Black\nBlack Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black 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 Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Green Green Green Green Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Red Red Red Black Red Black\nBlack Black Green Green Green Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green 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\nBlack Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Blue Blue Black Black\nBlack 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\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 Red Red Red Red Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Blue Blue Blue Blue Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Red Red Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Red Red Black Black Black Black Red Red Red Red Black Green Green Green Green\nBlack Black Black Black Black Black Black Red Red Red Red Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\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 Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack 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\nBlack 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\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 Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Gray Gray Gray Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Gray Gray Gray Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Gray Gray Gray Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Gray Gray Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Gray Gray Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Black Gray Gray Gray Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Gray Gray Gray 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 Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Gray Gray Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow 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 Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black 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 Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black 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 Brown Brown Brown Brown Black Black Black\nBlack Green Green Green Brown Brown Brown Brown Black Black Black\nBlack Green Green Green Brown Brown Brown Brown Black Black Black\nBlack Green Green Green Brown Brown Brown Brown Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Red Red Black\nBlack Black Black Purple Purple Purple Purple Black Red Red Black\nBlack Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black\nBlack Green Green Black Black Brown Brown Brown Black Black Black\nBlack Green Green Black Black Brown Brown Brown Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Purple Purple Purple Purple Black Red Red Black\nBlack Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black 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:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Yellow Green Green Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Green Green Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Yellow Green Green Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Yellow Green Green Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Yellow Green Green Yellow Green Green Green Green Green Green Green Green Yellow Green Green Yellow Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Yellow Green Green Yellow Green Green Green Green Green Green Green Green Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Yellow Green Green Yellow Green Green Green Green Green Green Green Yellow Yellow Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Yellow Green Green Yellow Green Green Green Green Green Yellow Green Green Yellow Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Yellow Green Green Yellow Green Green Green Yellow Green Green Green Green Yellow Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Green Green Yellow Green Yellow Green Green Green Green Green Green Yellow Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Green Green Yellow Green Green Green Green Green Green Green Green Yellow Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Green Yellow Green Green Green Green Green Green Green Green Yellow Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Green Green Yellow Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\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 Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Yellow Black Black Black 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 Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Yellow 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 Yellow Black Black 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 Yellow Black Black Yellow Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Yellow Black Yellow Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Yellow 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 Yellow Black Black Yellow Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Green Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Brown\nBrown Brown Green Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Brown Brown\nBrown Brown Brown Green Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Green Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Green Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Green Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\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\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Green Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Green Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Green Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Green Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Green Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green 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 Green 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 Green 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 Green 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 Green 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 Green 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 Green 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 Green 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 Green 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 Green 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 Green 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 Green Gray Gray Gray Gray Gray Gray\nGreen Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray\nGray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray\nGray Gray Green Gray Gray Gray Gray 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 Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray\nGray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Green Gray Gray Gray Gray\nGray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Green Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Green Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Green Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Green 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 Green Gray Gray Green 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 Green Gray Gray Green 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 Green Gray Gray Green 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 Green 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 Green 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 Green 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 Green 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 Green 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 Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black 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 Black Black Black Green Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Green Black Black Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Green Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Green Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Green Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Green 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 Green 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 Green Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black 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 Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green 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:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Pink Green Green Green Green Green Green Green Green Green Green Green Green Pink Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Pink Green Green Green Green Green Green Green Green Green Green Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow\n\n\nExample 2\nInput:\nPink Pink Pink Pink Pink\n\nOutput:\nPink\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Orange\n\nOutput:\nOrange\n\n\nHere is the input grid for the test example:\nInput:\nGray 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and 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 Yellow Yellow Black Purple\nBlack Black Black Orange Black Black Black Orange Black Black\nBlack Black Black Orange Black Black Black Black Black Brown\nOrange Black Black Black Brown Yellow Black Black Black Black\nBlack Black Black Green Black Black Black Yellow Black Black\nBlack Black Orange Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Orange Black Black Black Orange Black Black Black\n\nOutput:\nBlack Black Black Orange Black Black Black Orange Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Orange Black Black\nBlack Black Yellow Black Black Black Green Black Black Black\nBlack Black Black Black Yellow Brown Black Black Black Orange\nBrown Black Black Black Black Black Orange Black Black Black\nBlack Black Orange Black Black Black Orange Black Black Black\nPurple 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\n\n\nExample 2\nInput:\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Green Pink\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Pink Black Black\nRed Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Pink Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPink Green Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Red Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange\n\nOutput:\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Black Red Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Brown Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Brown Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown 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 Gray Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Orange Pink Yellow Pink Brown Purple Gray Pink Orange Brown Black\nBlack Green Green Orange Orange Brown Orange Gray Orange Blue Pink Gray Black\nBlack Purple Orange Yellow Purple Red Orange Orange Green Orange Blue Purple Black\nBlack Green Green Green Purple Yellow Gray Brown Purple Brown Orange Yellow Black\nBlack Yellow Green Orange Purple Gray Pink Pink Purple Gray Brown Blue Black\nBlack Purple Purple Yellow Yellow Gray Yellow Pink Blue Green Purple Brown Black\nBlack Purple Blue Yellow Red Gray Pink Orange Red Brown Red Brown Black\nBlack Red Purple Purple Orange Pink Red Orange Brown Blue Brown Gray Black\nBlack Pink Blue Blue Yellow Purple Blue Blue Orange Purple Red Purple Black\nBlack Green Green Blue Brown Red Blue Red Purple Orange Green Brown Black\nBlack Orange Pink Pink Yellow Red Orange Pink Green Brown Brown Purple Black\nBlack Orange Purple Orange Red Yellow Red Blue Red Gray Orange Pink Black\nBlack Yellow Brown Pink Red Brown Red Green Purple Purple Red Yellow 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Green Orange Orange Brown Orange Gray Orange Blue Pink Blue Black\nBlack Blue Orange Yellow Purple Red Orange Orange Green Orange Blue Blue Black\nBlack Blue Green Green Purple Yellow Gray Brown Purple Brown Orange Blue Black\nBlack Blue Green Orange Purple Gray Pink Pink Purple Gray Brown Blue Black\nBlack Blue Purple Yellow Yellow Gray Yellow Pink Blue Green Purple Blue Black\nBlack Blue Blue Yellow Red Gray Pink Orange Red Brown Red Blue Black\nBlack Blue Purple Purple Orange Pink Red Orange Brown Blue Brown Blue Black\nBlack Blue Blue Blue Yellow Purple Blue Blue Orange Purple Red Blue Black\nBlack Blue Green Blue Brown Red Blue Red Purple Orange Green Blue Black\nBlack Blue Pink Pink Yellow Red Orange Pink Green Brown Brown Blue Black\nBlack Blue Purple Orange Red Yellow Red Blue Red Gray Orange Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 Black Black\nBlack Orange Yellow Blue Red Green Pink Blue Gray Red Orange Brown Blue Purple Black\nBlack Brown Gray Brown Brown Purple Purple Brown Pink Orange Blue Orange Brown Pink Black\nBlack Green Green Yellow Yellow Orange Yellow Blue Purple Purple Pink Orange Blue Green Black\nBlack Red Pink Blue Purple Red Purple Gray Pink Gray Yellow Purple Pink Orange Black\nBlack Red Pink Orange Yellow Brown Gray Gray Orange Pink Orange Orange Brown Brown Black\nBlack Purple Purple Purple Red Yellow Gray Orange Gray Purple Purple Orange Green Red Black\nBlack Red Brown Green Blue Pink Yellow Pink Red Purple Purple Gray Blue Blue Black\nBlack Blue Purple Brown Green Green Red Pink Green Purple Green Orange Yellow Purple Black\nBlack Yellow Orange Purple Green Blue Gray Purple Pink Green Purple Blue Red Gray Black\nBlack Brown Green Purple Red Brown Yellow Purple Green Brown Yellow Blue Red Blue 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Gray Brown Brown Purple Purple Brown Pink Orange Blue Orange Brown Blue Black\nBlack Blue Green Yellow Yellow Orange Yellow Blue Purple Purple Pink Orange Blue Blue Black\nBlack Blue Pink Blue Purple Red Purple Gray Pink Gray Yellow Purple Pink Blue Black\nBlack Blue Pink Orange Yellow Brown Gray Gray Orange Pink Orange Orange Brown Blue Black\nBlack Blue Purple Purple Red Yellow Gray Orange Gray Purple Purple Orange Green Blue Black\nBlack Blue Brown Green Blue Pink Yellow Pink Red Purple Purple Gray Blue Blue Black\nBlack Blue Purple Brown Green Green Red Pink Green Purple Green Orange Yellow Blue Black\nBlack Blue Orange Purple Green Blue Gray Purple Pink Green Purple Blue Red Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 Gray Brown Yellow Yellow Red Green Blue Orange Purple Pink Orange Gray Pink Blue Black\nBlack Purple Yellow Orange Green Purple Blue Blue Brown Green Orange Gray Red Yellow Pink Black\nBlack Purple Orange Gray Pink Purple Brown Yellow Brown Pink Blue Gray Green Gray Blue Black\nBlack Blue Purple Orange Purple Red Brown Green Blue Green Yellow Green Blue Yellow Yellow Black\nBlack Blue Orange Yellow Brown Brown Pink Purple Blue Orange Green Gray Blue Green Blue Black\nBlack Gray Pink Brown Yellow Pink Pink Purple Pink Green Red Green Blue Green Purple Black\nBlack Purple Red Blue Pink Purple Pink Yellow Brown Yellow Green Blue Green Yellow Yellow Black\nBlack Purple Red Orange Blue Green Gray Brown Purple Blue Yellow Purple Gray Yellow Orange Black\nBlack Gray Orange Green Purple Pink Blue Yellow Green Pink Yellow Green Green Purple Green Black\nBlack Gray Purple Blue Red Brown Pink Brown Gray Yellow Orange Yellow Blue Orange Green 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Yellow Orange Green Purple Blue Blue Brown Green Orange Gray Red Yellow Blue Black\nBlack Blue Orange Gray Pink Purple Brown Yellow Brown Pink Blue Gray Green Gray Blue Black\nBlack Blue Purple Orange Purple Red Brown Green Blue Green Yellow Green Blue Yellow Blue Black\nBlack Blue Orange Yellow Brown Brown Pink Purple Blue Orange Green Gray Blue Green Blue Black\nBlack Blue Pink Brown Yellow Pink Pink Purple Pink Green Red Green Blue Green Blue Black\nBlack Blue Red Blue Pink Purple Pink Yellow Brown Yellow Green Blue Green Yellow Blue Black\nBlack Blue Red Orange Blue Green Gray Brown Purple Blue Yellow Purple Gray Yellow Blue Black\nBlack Blue Orange Green Purple Pink Blue Yellow Green Pink Yellow Green Green Purple Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 Pink Gray Green Pink Brown Gray Brown Blue Pink Gray Pink Gray Black\nBlack Pink Brown Brown Orange Pink Pink Pink Purple Brown Yellow Blue Orange Black\nBlack Orange Pink Gray Blue Red Pink Brown Red Purple Orange Blue Orange Black\nBlack Yellow Purple Green Gray Orange Red Pink Green Green Brown Orange Purple Black\nBlack Purple Yellow Blue Green Red Purple Purple Brown Orange Brown Yellow Blue Black\nBlack Pink Blue Yellow Gray Gray Red Purple Blue Red Yellow Orange Blue Black\nBlack Gray Purple Orange Green Purple Green Pink Red Yellow Gray Brown Gray Black\nBlack Orange Green Orange Red Brown Yellow Blue Yellow Orange Brown Yellow Gray Black\nBlack Gray Pink Gray Brown Green Pink Red Orange Pink Orange Red Brown Black\nBlack Orange Pink Gray Purple Blue Green Gray Orange Gray Purple Brown Brown Black\nBlack Brown Blue Gray Red Pink Green Brown Green Green Red Yellow Gray Black\nBlack Orange Red Pink Green Purple Red Gray Gray Pink Green Green Yellow 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Brown Brown Orange Pink Pink Pink Purple Brown Yellow Blue Blue Black\nBlack Blue Pink Gray Blue Red Pink Brown Red Purple Orange Blue Blue Black\nBlack Blue Purple Green Gray Orange Red Pink Green Green Brown Orange Blue Black\nBlack Blue Yellow Blue Green Red Purple Purple Brown Orange Brown Yellow Blue Black\nBlack Blue Blue Yellow Gray Gray Red Purple Blue Red Yellow Orange Blue Black\nBlack Blue Purple Orange Green Purple Green Pink Red Yellow Gray Brown Blue Black\nBlack Blue Green Orange Red Brown Yellow Blue Yellow Orange Brown Yellow Blue Black\nBlack Blue Pink Gray Brown Green Pink Red Orange Pink Orange Red Blue Black\nBlack Blue Pink Gray Purple Blue Green Gray Orange Gray Purple Brown Blue Black\nBlack Blue Blue Gray Red Pink Green Brown Green Green Red Yellow Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Yellow Black Black Orange Black Black Black\nBlack Orange Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Yellow Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Yellow 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 Orange\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Orange 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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nOrange Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black\nYellow Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Blue Black Black Purple Blue Purple Blue Black Black Black\nBlack Black Black Purple Black Brown Black Black Purple Black Black Brown\nBrown Black Brown Black Brown Black Purple Black Black Blue Black Black\nPurple Black Blue Brown Blue Purple Black Brown Black Blue Purple Purple\nPurple Brown Black Black Black Black Black Purple Black Blue Black Black\nBlack Black Black Black Black Black Blue Black Purple Purple Brown Blue\nPurple Purple Purple Blue Purple Purple Purple Black Brown Blue Blue Black\nPurple Black Brown Black Black Blue Blue Blue Purple Brown Purple Brown\n\nOutput:\nPurple Black Black Blue Brown Brown Black Black Black Blue Purple Blue\nBrown Black Purple Black Black Black Brown Black Black Purple Black Black\nBlack Brown Black Brown Black Brown Black Black Blue Black Black Purple\nPurple Blue Brown Blue Black Purple Purple Purple Blue Black Brown Black\nBlack Black Black Black Brown Purple Black Black Blue Black Purple Black\nBlack Black Black Black Black Black Blue Brown Purple Purple Black Blue\nPurple Purple Blue Purple Purple Purple Black Blue Blue Brown Black Purple\nBlue Black Black Brown Black Purple Brown Purple Brown Purple Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Pink Black Gray Black Red Gray Black\nBlack Red Black Red Black Black Black Gray Black Red\nBlack Pink Pink Gray Black Gray Pink Pink Pink Black\nBlack Pink Black Red Red Gray Black Pink Pink Gray\nRed Pink Red Black Black Black Red Black Gray Gray\nRed Black Red Black Black Black Black Red Black Red\nRed Black Black Gray Red Red Black Black Black Gray\n\nOutput:\nBlack Pink Black Black Black Black Gray Red Black Gray\nBlack Red Black Red Black Red Black Gray Black Black\nBlack Gray Pink Pink Black Black Pink Pink Pink Gray\nRed Red Black Pink Black Gray Pink Pink Black Gray\nBlack Black Red Pink Red Gray Gray Black Red Black\nBlack Black Red Black Red Red Black Red Black Black\nRed Gray Black Black Red Gray Black Black Black Red\n\n\nExample 3\nInput:\nPink Brown Black Black Black Pink Purple Purple Brown Pink Brown\nBrown Black Brown Brown Pink Brown Purple Brown Brown Brown Black\nPurple Purple Black Pink Black Black Purple Black Black Brown Purple\nPurple Brown Black Pink Black Pink Pink Purple Black Brown Pink\nPink Purple Black Black Black Black Brown Pink Black Black Black\nBlack Black Black Black Pink Pink Black Black Purple Black Purple\nBlack Black Purple Brown Brown Black Brown Purple Black Pink Brown\n\nOutput:\nBlack Black Black Brown Pink Brown Pink Brown Purple Purple Pink\nPink Brown Brown Black Brown Black Brown Brown Brown Purple Brown\nBlack Pink Black Purple Purple Purple Brown Black Black Purple Black\nBlack Pink Black Brown Purple Pink Brown Black Purple Pink Pink\nBlack Black Black Purple Pink Black Black Black Pink Brown Black\nPink Black Black Black Black Purple Black Purple Black Black Pink\nBrown Brown Purple Black Black Brown Pink Black Purple Brown Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Black Brown Yellow Black Brown Black Blue\nYellow Black Black Yellow Yellow Brown Brown Blue Blue\nBlue Black Yellow Black Blue Black Blue Brown Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black\nBlue Black Blue Brown Brown Black Black Black Yellow\nBlack Brown Black Black Black Black Brown Black Brown\nBlack Black Black Brown Black Yellow Brown Black Yellow\nYellow Black Black Black Brown Black Black Blue Black\nBlack Blue Brown Yellow Brown Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Black Black Yellow Blue Black Brown Black Yellow\nYellow Black Black Yellow Blue Blue Brown Brown Yellow\nBlack Yellow Black Blue Yellow Brown Blue Black Blue\nYellow Yellow Yellow Yellow Black Black Black Black Black\nBrown Blue Black Blue Yellow Black Black Black Brown\nBlack Black Brown Black Brown Black Brown Black Black\nBrown Black Black Black Yellow Black Brown Yellow Black\nBlack Black Black Yellow Black Blue Black Black Brown\nYellow Brown Blue Black Black Black Black Black Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Yellow Yellow Red Green Black Black Black Black Black\nBlue Orange Purple Pink Orange Black Black Black Black Black\nGray Pink Blue Purple Yellow Black Black Black Black Black\nOrange Green Purple Blue Blue Black Black Black Black Black\nBrown Green Orange Gray Red Black Black Black Black Black\nYellow Pink Purple Orange Gray Black Black Black Black Black\nPink Purple Brown Yellow Brown Black Black Black Black Black\n\nOutput:\nBrown Yellow Yellow Red Green Green Red Yellow Yellow Brown\nBlue Orange Purple Pink Orange Orange Pink Purple Orange Blue\nGray Pink Blue Purple Yellow Yellow Purple Blue Pink Gray\nOrange Green Purple Blue Blue Blue Blue Purple Green Orange\nBrown Green Orange Gray Red Red Gray Orange Green Brown\nYellow Pink Purple Orange Gray Gray Orange Purple Pink Yellow\nPink Purple Brown Yellow Brown Brown Yellow Brown Purple Pink\n\n\nExample 2\nInput:\nPink Gray Green Pink Brown Black Black Black Black Black\nGray Brown Blue Pink Gray Black Black Black Black Black\nPink Gray Pink Brown Brown Black Black Black Black Black\nOrange Pink Pink Pink Purple Black Black Black Black Black\nBrown Yellow Blue Orange Orange Black Black Black Black Black\nPink Gray Blue Red Pink Black Black Black Black Black\nBrown Red Purple Orange Blue Black Black Black Black Black\nOrange Yellow Purple Green Gray Black Black Black Black Black\nOrange Red Pink Green Green Black Black Black Black Black\n\nOutput:\nPink Gray Green Pink Brown Brown Pink Green Gray Pink\nGray Brown Blue Pink Gray Gray Pink Blue Brown Gray\nPink Gray Pink Brown Brown Brown Brown Pink Gray Pink\nOrange Pink Pink Pink Purple Purple Pink Pink Pink Orange\nBrown Yellow Blue Orange Orange Orange Orange Blue Yellow Brown\nPink Gray Blue Red Pink Pink Red Blue Gray Pink\nBrown Red Purple Orange Blue Blue Orange Purple Red Brown\nOrange Yellow Purple Green Gray Gray Green Purple Yellow Orange\nOrange Red Pink Green Green Green Green Pink Red Orange\n\n\nExample 3\nInput:\nYellow Gray Purple Blue Green Black Black Black Black Black\nPurple Purple Red Pink Red Black Black Black Black Black\nGray Orange Pink Green Pink Black Black Black Black Black\nPink Gray Green Pink Gray Black Black Black Black Black\nPurple Green Purple Gray Orange Black Black Black Black Black\nPurple Purple Purple Blue Yellow Black Black Black Black Black\nBlue Pink Green Gray Gray Black Black Black Black Black\nPink Brown Yellow Yellow Gray Black Black Black Black Black\n\nOutput:\nYellow Gray Purple Blue Green Green Blue Purple Gray Yellow\nPurple Purple Red Pink Red Red Pink Red Purple Purple\nGray Orange Pink Green Pink Pink Green Pink Orange Gray\nPink Gray Green Pink Gray Gray Pink Green Gray Pink\nPurple Green Purple Gray Orange Orange Gray Purple Green Purple\nPurple Purple Purple Blue Yellow Yellow Blue Purple Purple Purple\nBlue Pink Green Gray Gray Gray Gray Green Pink Blue\nPink Brown Yellow Yellow Gray Gray Yellow Yellow Brown Pink\n\n\nHere is the input grid for the test example:\nInput:\nGreen Blue Blue Black Black Black\nGreen Purple Yellow Black Black Black\nGray Yellow Pink Black Black Black\nYellow Red Orange Black Black Black\nGreen Gray Blue Black Black Black\nRed Pink Green Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Blue Blue Blue Blue Green\nGreen Purple Yellow Yellow Purple Green\nGray Yellow Pink Pink Yellow Gray\nYellow Red Orange Orange Red Yellow\nGreen Gray Blue Blue Gray Green\nRed Pink Green Green Pink Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Blue Blue Blue\nBlack Black Blue Blue Blue\nBlack Black Blue Blue Blue\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nOrange Orange Orange Black Black\nOrange Orange Orange Black Black\nOrange Orange Orange Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlue Blue Black Black Black Black\nBlue Blue Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Orange Orange Black\nBlack Black Black Orange Orange 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:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Blue Blue Blue Black Black\nBlack Blue Blue Blue Black Black\nBlack Blue Blue Blue Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Orange Orange Orange Black Black\nBlack Orange Orange Orange Black Black\nBlack Orange Orange Orange 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 Blue\nBlack Black 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```\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black 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\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black\nBlue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Green Green Green\nBlack Black Green Green Green\nBlack Black Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Green Green Black Black\nBlack Green Green Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Yellow Yellow Black Black\nBlack Yellow Yellow Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Blue Blue Black Black\nBlack Blue Blue Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Red Red Black Black\nBlack Red Red Black Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Red Red\nBlack Black Black Red Red\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Blue Blue\nBlack Black Black Blue Blue\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBrown Brown 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 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\nBrown Black Black Black Black Black Black Black\nBrown Black Black Black Black 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 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\nPink Pink Black Purple Black Black Black\nPink Pink Black Purple Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGray Gray Black Black Black Black Black\nBlack Black Brown Brown Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nPink Pink Black Purple Purple Black Black\nPink Pink 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\nGray Black Brown Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Brown Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green\nOrange Orange Black Black Black Black Black Black Green\nOrange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black\nRed Black Black Black Pink Pink Black Black Black\nRed 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 Green\nOrange Orange Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black\nRed Red Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Orange Black Black Black Yellow Black Black Green\nBlack Purple Black Black Black Black Black Orange Black Green\nBlack Black Black Green Black Black Black Black Green Black\nGreen Black Black Yellow Orange Green Yellow Black Black Black\nBlack Black Black Green Yellow Black Orange Black Yellow Black\nPurple Black Black Green Yellow Black Orange Black Green Black\nBlack Black Yellow Black Black Black Black Black Black Yellow\nOrange Black Black Black Purple Yellow 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 Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black\nBlack Black Black Red Red Black Red Black Black Black\nBlack Black Black Red Red Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Green Black Black Black Purple Pink Black Black\nBlack Black Pink Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Green Black Black Pink\nBlack Pink Black Blue Black Black Pink Pink Black Black\nPink Black Black Black Black Black Purple Black Black Blue\nBlack Pink Black Black Black Black Black Black Pink Pink\nBlack Pink Black Black Blue Black Pink Green Black Blue\nBlack Black Black Black Pink Purple Black Pink Pink Pink\nBlack Black Black Green Black Black Black Pink Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Red Red Black Red\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Red Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Orange Black Orange Orange Blue Black\nBlack Black Brown Black Black Black Black Black Black Black\nBrown Black Black Brown Orange Black Blue Black Black Black\nBrown Orange Black Black Black Blue Black Black Black Brown\nBrown Blue Black Black Black Orange Black Black Black Brown\nBlack Black Brown Black Black Black Black Brown Brown Orange\nBlack Black Blue Brown Orange Black Black Black Black Black\nBlue Orange Black Blue Black Orange Black Black Black Blue\nBlack Black Black Orange Black Orange Black Black Black Black\nOrange Black Orange Black Black Black Orange 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 Red Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Black Black Gray Black Black Black Black\nBlack Black Black Black Black Pink Black Blue Black Black\nBlack Black Black Black Blue Black Black Black Blue Black\nPink Black Black Black Black Black Black Blue Black Black\nPink Black Gray Black Black Gray Black Black Gray Black\nBlack Black Blue Black Black Black Black Black Gray Gray\nBlack Blue Black Black Black Gray Pink Blue Black Black\nBlack Black Black Blue Black Black Pink Black Pink Black\nBlack Pink Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Pink Pink Brown Brown Brown Brown Pink Pink Orange\nGray Blue Blue Green Green Green Green Blue Blue Gray\nBlue Blue Blue Orange Red Red Orange Blue Blue Blue\nBlue Gray Blue Blue Brown Brown Blue Blue Gray Blue\n\nOutput:\nOrange Pink Pink Brown Brown Black Black Black Black Black\nGray Blue Blue Green Green Black Black Black Black Black\nBlue Blue Blue Orange Red Black Black Black Black Black\nBlue Gray Blue Blue Brown Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Red Orange Orange Orange Orange Red Red\nOrange Orange Orange Orange Orange Orange Orange Orange\nGreen Orange Blue Orange Orange Blue Orange Green\nGreen Purple Pink Blue Blue Pink Purple Green\nOrange Yellow Yellow Blue Blue Yellow Yellow Orange\n\nOutput:\nRed Red Orange Orange Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black\nGreen Orange Blue Orange Black Black Black Black\nGreen Purple Pink Blue Black Black Black Black\nOrange Yellow Yellow Blue Black Black Black Black\n\n\nExample 3\nInput:\nOrange Orange Purple Brown Orange Orange Brown Purple Orange Orange\nBlue Orange Brown Brown Purple Purple Brown Brown Orange Blue\nBlue Gray Red Red Red Red Red Red Gray Blue\nGray Gray Red Blue Gray Gray Blue Red Gray Gray\nGray Brown Yellow Gray Pink Pink Gray Yellow Brown Gray\n\nOutput:\nOrange Orange Purple Brown Orange Black Black Black Black Black\nBlue Orange Brown Brown Purple Black Black Black Black Black\nBlue Gray Red Red Red Black Black Black Black Black\nGray Gray Red Blue Gray Black Black Black Black Black\nGray Brown Yellow Gray Pink Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Blue Purple Purple Blue Pink\nBlue Blue Yellow Yellow Blue Blue\nBlue Pink Red Red Pink Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Blue Purple Black Black Black\nBlue Blue Yellow Black Black Black\nBlue Pink Red Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Black Black\nGreen Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Black Black\nGreen Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Black Black\nGreen Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Black Black\nBlack Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\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 Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nGreen Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Black Black\nGreen Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Black Black\nGreen Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Black Black\nGreen Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Black Black\nBlack Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Brown Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Brown Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Yellow Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Yellow Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Red Red Red Red Blue Black Black Black Black Black Black Black Black Black Black\nBlue Red Red Red Red Blue Black Black Black Black Black Black Black Black Black Black\nBlue Red Red Red Red Blue Black Black Black Black Black Black Black Black Black Black\nBlue Red Red Red Red Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black Black Black Black\nBlue Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black Black Black Black\nBlue Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black Black Black Black\nBlue Yellow Yellow Yellow Yellow Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Black Black Black Black Black Black Black Black\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Black Black Black Black Black Black Black Black\nOrange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink 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 Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black\nOrange Orange Orange Black Black Black Black\nOrange Orange Orange Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBrown Black Black Black Black Purple Purple Black Black Black Black Black Black Black Orange\nBrown Black Black Black Black Purple Purple Black Black Black Black Black Black Black Orange\nBrown Black Black Black Black Purple Purple Black Black Black Black Black Black Black Orange\nBrown Black Black Black Black Purple Purple Black Purple Black Black Black Black Black Orange\nBrown Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Orange\nBrown Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Orange\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\n\nOutput:\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Brown Brown Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Brown Brown Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Brown Brown Black Black Black Black Brown\nBrown Black Black Black Black Black Brown Black Brown Brown Black Black Black Black Brown\nBrown Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Brown\nBrown Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\n\n\nExample 2\nInput:\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nGreen Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Yellow\nGreen Black Black Brown Brown Brown Brown Black Brown Brown Brown Brown Black Black Yellow\nGreen Black Black Brown Brown Brown Brown Black Brown Brown Brown Brown Black Black Yellow\nGreen Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Yellow\nGreen Black Black Brown Brown Brown Brown Black Brown Brown Brown Brown Black Black Yellow\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\n\nOutput:\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Green Green Green Black Black Black Green Green Green Black Black Green\nGreen Black Black Green Green Green Green Black Green Green Green Green Black Black Green\nGreen Black Black Green Green Green Green Black Green Green Green Green Black Black Green\nGreen Black Black Green Green Green Green Green Green Green Green Green Black Black Green\nGreen Black Black Green Green Green Green Black Green Green Green Green Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\n\n\nExample 3\nInput:\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nRed Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Purple\nRed Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Purple\nRed Black Black Black Gray Gray Black Black Gray Gray Black Black Black Black Purple\nRed Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Purple\nRed Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Purple\nRed Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Purple\nRed Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Purple\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\n\nOutput:\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 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 Black Black Black Red Red Black Black Red Red Black Black Black Red\nRed Black Black Black Black Red Red Red Red Red Red Black Black Black Red\nRed Black Black Black Black Red Red Black Black Red Red Black Black Black Red\nRed Black Black Black Red Red Red Red Red Red Red Red Black Black Red\nRed Black Black Black Black Red Red Red Red Red Red Black Black Black Red\nRed Black Black Black Black Red Red Red Red Red Red Black Black Black Red\nRed Black Black Black Black Red Red Red Red Red Red Black Black Black 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 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\n\n\nHere is the input grid for the test example:\nInput:\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nGreen Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Red\nGreen Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Red\nGreen Black Black Black Black Black Black Brown Brown Black Black Black Black Black Red\nGreen Black Black Black Black Black Black Black Brown Black Black Black Black Black Red\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Green Green Green Green Black Black Black Black Green\nGreen Black Black Black Black Black Green Green Green Black Black Black Black Black Green\nGreen Black Black Black Black Black Green Green Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Green Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Yellow Black\nBlack Black Yellow Black Yellow Black Black\nBlack Yellow Black Yellow Black Yellow Black\nBlack Black Yellow Black Yellow Black Black\nBlack Yellow Black Yellow Black Yellow Black\nBlack 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 Green 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 Green Black Green Black Green Black\nBlack Black Green Black Green Black Black\nBlack Green Black Green Black Green Black\nBlack Black Green Black Green Black Black\nBlack Green Black Green Black Green Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black 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\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Gray Black Gray Black Gray Black\nBlack Black Gray Black Gray Black Black\nBlack Gray Black Gray Black Gray Black\nBlack Black Gray Black Gray Black Black\nBlack Gray Black Gray Black Gray Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Purple 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\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Purple Black Purple Black Purple Black\nBlack Black Purple Black Purple Black Black\nBlack Purple Black Purple Black Purple Black\nBlack Black Purple Black Purple Black Black\nBlack Purple Black Purple Black Purple Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Brown Black Brown Black\nRed Red Brown Red Red\nBlack Red Yellow Red Black\nPurple Yellow Yellow Yellow Purple\n\nOutput:\nPurple Black Red Black\nYellow Red Red Brown\nYellow Yellow Brown Black\nYellow Red Red Brown\nPurple Black Red Black\n\n\nExample 2\nInput:\nPurple Blue Blue Purple\nYellow Pink Pink Yellow\nPink Pink Pink Pink\nGreen Green Green Green\nGreen Green Green Green\n\nOutput:\nGreen Green Pink Yellow Purple\nGreen Green Pink Pink Blue\nGreen Green Pink Pink Blue\nGreen Green Pink Yellow Purple\n\n\nExample 3\nInput:\nBlack Red Black Black Black\nRed Red Green Purple Purple\nRed Red Blue Green Blue\nPink Brown Gray Orange Purple\nPink Pink Pink Orange Black\n\nOutput:\nBlack Purple Blue Purple Black\nOrange Orange Green Purple Black\nPink Gray Blue Green Black\nPink Brown Red Red Red\nPink Pink Red Red Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Red Red\nPurple Orange Orange\nBlack Green Red\nPurple Green Black\nBlack Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Red Orange Red\nGreen Green Green Orange Red\nBlack Purple Black Purple 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:\nPink Brown Black Black Black Black Brown Pink\nPurple Gray Black Black Black Black Gray Purple\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPurple Gray Black Black Black Black Gray Purple\nPink Brown Black Black Black Black Brown Pink\n\nOutput:\nPink Brown Gray Gray Gray Gray Brown Pink\nOrange Gray Gray Gray Gray Gray Gray Orange\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nOrange Gray Gray Gray Gray Gray Gray Orange\nPink Brown Gray Gray Gray Gray Brown Pink\n\n\nExample 2\nInput:\nBlue Red Black Black Black Red Blue\nGreen Pink Black Black Black Pink Green\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGreen Pink Black Black Black Pink Green\nBlue Red Black Black Black Red Blue\n\nOutput:\nYellow Yellow Gray Gray Gray Yellow Yellow\nYellow Pink Gray Gray Gray Pink Yellow\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nYellow Pink Gray Gray Gray Pink Yellow\nYellow Yellow Gray Gray Gray Yellow Yellow\n\n\nExample 3\nInput:\nYellow Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Yellow\n\nOutput:\nGreen Gray Gray Gray Gray Gray Gray Gray Green\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\nGreen Gray Gray Gray Gray Gray Gray Gray Green\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Black Black Black Black Black Gray Pink\nGreen Pink Black Black Black Black Black Pink Green\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Pink Black Black Black Black Black Pink Green\nPink Gray Black Black Black Black 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```\nPink Gray Gray Gray Gray Gray Gray Gray Pink\nYellow Pink Gray Gray Gray Gray Gray Pink Yellow\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\nYellow Pink Gray Gray Gray Gray Gray Pink Yellow\nPink Gray Gray Gray Gray Gray 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:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Blue Gray Black Black Black Black\nGray Red Orange Black Black Black Black Black Black Black Black Blue Purple Purple Blue Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Blue Gray Gray Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Gray Black Black Green Pink Pink Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Gray Black Black Black Black Black\nBlack Black Blue Black Gray Black Black Black Black Gray Orange Orange Gray Black Black Black Black Black\nBlack Black Blue Brown Blue Black Black Black Black Blue Orange Orange Blue Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Red Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Red Blue 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 Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Brown Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Brown Blue Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Orange Gray Pink Gray Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Blue Blue Blue Pink Black Black Black Black Black Black\nGray Black Black Green Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Gray Pink Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Green Green Pink Black Blue Gray Black Black Black\nBlack Black Pink Green Green Pink Black Brown Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Black Black Brown Black Black Black\nBlack Black Orange Gray Black Orange Black Brown Orange Orange Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Pink Orange Orange Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Blue Blue Black Black Black\nBlack Black Black Black Black Black Pink Orange Orange Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Green Black Black Black Black Black Black\nBlack Black Black Black Pink Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Black Black Black Black Black Black Black Black Black Black Black\nPink Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlue Black Blue Blue Gray Black Black Black Black Black Black Black Black\nBlack Black Black Brown Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Yellow Red Red Black Blue Pink Black Pink Blue\nBlack Black Black Pink Pink Blue Green Black Gray Green Black Green Green\nBlack Black Black Black Brown Yellow Black Black Pink Green Green Green Pink\nBlack Black Black Pink Pink Blue Green Black Black Black Black Black Black\nBlack Black Blue Pink Yellow Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nPink Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Green Black\nBlack Black Black Black Black Black Black Green Black Black Black Green Green Black\nBlack Black Black Black Black Black Green Green Black Black Green Green Green Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Green Black Black Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Green Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Green Green Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Green Black Black Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Black\n\n\nExample 2\nInput:\nBlack Black Black Black Green Black Black Green Black Black Black Black Black Black\nBlack Black Black Green Green Black Green Green Black Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Green Green Black Green Black Black\nBlack Black Black Black Green Black Black Green Green Green Green Green Black Black\nBlack Black Black Green Green Black Black Black Black Green Green Green Black Black\nBlack Black Green Green Green Black Green Black Green Green Green Green Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Green Black Black\nBlack Black Black Black Green Green Green Black Black Black Green Green Black Black\nBlack Black Black Green Green Green Green Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Green Black Black Black Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black\n\nOutput:\nBlack Black Black Black Yellow Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Yellow Yellow Black Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black\nBlack Black Black Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Green Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Yellow Black Black\nBlack Black Black Black Green Green Green Black Black Black Yellow Yellow Black Black\nBlack Black Black Green Green Green Green Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Green Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Green Green Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Green Green Green Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Green Black Black Black Green Black\nBlack Black Black Black Green Green Black Black Green Green Black\nBlack Black Black Green Green Green Black Green Green Green Black\nBlack Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Green Black\nBlack Black Black Black Green Green Green Black Green Green Black\nBlack Black Black Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Green\nBlack Black Black Black Black Green Green Green Black Green Green\nBlack Black Black Black Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Green Green Green Green\n\nOutput:\nBlack Black Black Black Black Yellow Black Black Black Green Black\nBlack Black Black Black Yellow Yellow Black Black Green Green Black\nBlack Black Black Yellow Yellow Yellow Black Green Green Green Black\nBlack Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Green Black\nBlack Black Black Black Green Green Green Black Green Green Black\nBlack Black Black Green Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Green\nBlack Black Black Black Black Green Green Green Black Green Green\nBlack Black Black Black Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Green\nBlack Black Black Green Green Green Black Black Black Black Black Green Green\nBlack Black Black Black Green Black Black Black Black Black Green Green Green\nBlack Black Black Green Green Black Black Green Black Black Black Green Black\nBlack Black Green Green Green Black Green Green Black Black Green Green Black\nBlack Black Black Black Black Green Green Green Black Green Green Green Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Green\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Green Green\nBlack Black Black Black Yellow Black Black Black Black Black Green Green Green\nBlack Black Black Yellow Yellow Black Black Green Black Black Black Green Black\nBlack Black Yellow Yellow Yellow Black Green Green Black Black Green Green Black\nBlack Black Black Black Black Green Green Green Black Green Green Green Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Black Black Black\nPurple Purple Black Black Black\nBlack Black Black Black Black\nBlack Black Black Purple Purple\nBlack Black Black Purple Purple\n\nOutput:\nPurple Purple Black Black Black\nPurple Purple Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nOrange Orange Black Black Black\nOrange Orange Black Black Black\nBlack Black Black Orange Orange\nBlack Black Black Orange Orange\n\nOutput:\nOrange Orange Black Black Black\nOrange Orange Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nGray Gray Black Black\nGray Gray Black Black\nBlack Black Gray Gray\nBlack Black Gray Gray\n\nOutput:\nGray Gray Black Black\nGray Gray Black Black\nBlack Black Black Black\nBlack Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Black Black\nPink Pink Black Black\nBlack Black Pink Pink\nBlack Black Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Black Black\nPink Pink 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 Orange Black Yellow Orange Green Pink\nPink Black Purple Black Black Yellow Brown Black Purple\nBlack Black Black Black Black Green Orange Black Pink\nOrange Black Black Black Black Black Black Blue Gray\nBlack Black Black Black Red Green Black Black Black\nBlack Black Black Black Gray Black Gray Black Black\nBlack Pink Black Blue Gray Black Black Black Purple\nBlack Black Green Green Orange Brown Black Black Black\nBlack Yellow Black Black Gray Brown Black Brown Black\n\nOutput:\nPurple Yellow Gray Green Black Gray Black Black Black\nBrown Black Orange Green Black Black Brown Black Purple\nPurple Black Gray Yellow Black Black Black Black Black\nPink Red Black Black Black Black Black Black Gray\nBlack Black Black Yellow Blue Black Black Black Black\nBlack Black Pink Black Pink Black Black Black Black\nBrown Black Black Black Pink Red Black Purple Black\nBlack Black Black Orange Gray Yellow Yellow Black Black\nBlack Orange Black Orange Pink Black Black Green Black\n\n\nExample 2\nInput:\nBlack Black Black Black Gray Black Black Gray Black Pink Red Black Black\nBlack Blue Black Blue Pink Red Black Black Orange Black Black Black Black\nBlack Pink Black Pink Red Black Black Black Black Black Black Black Pink\nBlue Black Black Orange Pink Blue Brown Brown Black Green Black Black Black\nBlack Orange Purple Black Black Black Brown Brown Orange Purple Black Black Black\nPurple Black Purple Black Blue Red Brown Black Brown Green Black Black Green\nBlack Black Brown Green Black Brown Black Black Brown Black Black Green Orange\nPurple Green Black Black Black Green Red Blue Purple Orange Gray Brown Brown\nPink Black Black Pink Black Black Brown Black Black Black Orange Black Purple\nBlack Yellow Black Red Black Blue Black Black Black Black Pink Black Black\nBlack Brown Black Purple Brown Black Black Black Black Black Orange Purple Black\nBlack Black Purple Black Black Black Blue Brown Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Pink Black\n\nOutput:\nBlack Black Blue Purple Black Pink Black Black Pink Black Black Black Black\nBlack Black Black Black Gray Black Black Blue Purple Red Black Red Black\nPurple Black Black Black Black Black Black Black Blue Purple Black Purple Black\nBlack Black Black Yellow Black Orange Orange Red Purple Gray Black Black Red\nBlack Black Black Brown Gray Orange Orange Black Black Black Brown Gray Black\nYellow Black Black Yellow Orange Black Orange Blue Red Black Brown Black Brown\nGray Yellow Black Black Orange Black Black Orange Black Yellow Orange Black Black\nOrange Orange Pink Gray Brown Red Blue Yellow Black Black Black Yellow Brown\nBrown Black Gray Black Black Black Orange Black Black Purple Black Black Purple\nBlack Black Purple Black Black Black Black Red Black Blue Black Green Black\nBlack Brown Gray Black Black Black Black Black Orange Brown Black Orange Black\nBlack Black Black Black Black Orange Red Black Black Black Brown Black Black\nBlack Purple Black Black Black Black Black Black Green Black Black Black Black\n\n\nExample 3\nInput:\nBlack Red Black Brown Black Black Gray Black Black Black Purple\nBlack Purple Green Black Black Black Black Black Black Pink Gray\nBlack Black Purple Black Green Gray Black Black Black Black Black\nYellow Black Gray Gray Black Pink Black Black Black Brown Black\nPink Black Black Black Yellow Black Black Black Yellow Orange Black\nBlack Black Black Gray Red Black Black Orange Black Black Purple\nGray Yellow Brown Black Pink Black Black Yellow Orange Green Black\nBlack Black Brown Gray Black Black Red Black Green Black Black\nBlack Pink Black Black Black Black Gray Black Black Black Orange\nBlack Black Green Black Black Orange Black Pink Black Pink Pink\nBrown Green Green Black Black Red Gray Black Pink Black Brown\n\nOutput:\nBrown Black Black Black Pink Black Black Orange Black Blue Black\nPink Purple Black Black Black Black Black Black Yellow Brown Black\nBlack Black Black Black Black Pink Yellow Black Brown Black Black\nBlack Orange Black Black Black Purple Black Pink Pink Black Green\nBlack Gray Green Black Black Black Green Black Black Black Purple\nBrown Black Black Gray Black Black Blue Pink Black Black Black\nBlack Yellow Gray Green Black Black Purple Black Orange Green Pink\nBlack Black Yellow Black Blue Black Black Pink Orange Black Black\nGray Black Black Black Pink Black Black Black Black Purple Black\nPurple Purple Black Purple Black Gray Black Black Yellow Black Black\nOrange Black Purple Black Pink Blue Black Black Yellow Yellow Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Black Black Black Black Black\nBlack Orange Pink Gray Black Black Black\nBlack Yellow Black Pink Black Black Green\nGreen Green Black Black Black Pink Black\nPurple Purple Blue Black Black Black Black\nPurple Black Black Red Pink Black Black\nBlack Black Black Red Black Red Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Red Black\nBlack Black Black Pink Purple Gray Black\nYellow Black Black Purple Black Green Black\nBlack Purple Black Black Black Yellow Yellow\nBlack Black Black Black Red Brown Brown\nBlack Black Purple Blue Black Black Brown\nPink Blue Black Blue Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue Gray Blue\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray\nBlue Gray Blue Gray Blue Gray Blue\nGray Blue Gray Blue Gray Blue Gray\nBlue Gray Blue Gray Blue Gray Blue\nBlue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nGray Pink Gray Pink Gray\nPink Gray Pink Gray Pink\nGray Pink Gray Pink Gray\nPink Gray Pink Gray Pink\nGray Pink Gray Pink Gray\nPink Gray Pink Gray Pink\n\nOutput:\nPink Pink Pink Pink Pink\nGray Pink Gray Pink Gray\nPink Gray Pink Gray Pink\nGray Pink Gray Pink Gray\nPink Gray Pink Gray Pink\nGray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nPurple Brown Purple Brown Purple Brown\nBrown Purple Brown Purple Brown Purple\nPurple Brown Purple Brown Purple Brown\nBrown Purple Brown Purple Brown Purple\nPurple Brown Purple Brown Purple Brown\nBrown Purple Brown Purple Brown Purple\n\nOutput:\nBrown Brown Brown Brown Brown Brown\nPurple Brown Purple Brown Purple Brown\nBrown Purple Brown Purple Brown Purple\nPurple Brown Purple Brown Purple Brown\nBrown Purple Brown Purple Brown Purple\nPurple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nYellow Brown Yellow Brown\nBrown Yellow Brown Yellow\nYellow Brown Yellow Brown\nBrown Yellow Brown Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown\nYellow Brown Yellow Brown\nBrown Yellow Brown Yellow\nYellow 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:\nOrange Pink Gray Black Brown Gray Purple Brown\nOrange Yellow Gray Pink Purple Green Green Pink\nPink Purple Pink Yellow Brown Pink Brown Red\nGray Yellow Orange Pink Black Orange Blue Brown\nPink Pink Green Pink Red Orange Green Green\nGreen Orange Black Yellow Purple Orange Purple Pink\nBlack Black Brown Green Pink Orange Yellow Gray\nGray Orange Yellow Purple Brown Red Orange Orange\nBlack Black Brown Yellow Black Gray Red Green\nBrown Orange Purple Orange Red Black Blue Brown\nYellow Gray Pink Blue Purple Blue Purple Blue\nOrange Orange Pink Brown Gray Blue Pink Purple\nRed Purple Yellow Gray Red Red Black Orange\nRed Red Pink Orange Blue Brown Orange Green\nBrown Brown Green Red Purple Blue Red Blue\nOrange Pink Green Purple Pink Gray Brown Gray\nBlack Blue Brown Pink Gray Green Purple Purple\nOrange Pink Orange Brown Pink Blue Brown Black\n\nOutput:\nOrange Pink Gray Black Brown Gray Purple Brown\nOrange Yellow Gray Pink Purple Red Red Pink\nPink Purple Pink Yellow Brown Pink Brown Blue\nGray Yellow Orange Pink Black Orange Green Brown\nPink Pink Red Pink Blue Orange Red Red\nRed Orange Black Yellow Purple Orange Purple Pink\nBlack Black Brown Red Pink Orange Yellow Gray\nGray Orange Yellow Purple Brown Blue Orange Orange\nBlack Black Brown Yellow Black Gray Blue Red\nBrown Orange Purple Orange Blue Black Green Brown\nYellow Gray Pink Green Purple Green Purple Green\nOrange Orange Pink Brown Gray Green Pink Purple\nBlue Purple Yellow Gray Blue Blue Black Orange\nBlue Blue Pink Orange Green Brown Orange Red\nBrown Brown Red Blue Purple Green Blue Green\nOrange Pink Red Purple Pink Gray Brown Gray\nBlack Green Brown Pink Gray Red Purple Purple\nOrange Pink Orange Brown Pink Green Brown Black\n\n\nExample 2\nInput:\nPink Black Red Blue Green Gray Red Yellow Blue Pink\nBrown Purple Brown Red Orange Purple Yellow Purple Purple Orange\nOrange Purple Gray Pink Red Pink Purple Gray Green Green\nBrown Black Black Pink Black Red Orange Orange Gray Pink\nRed Green Blue Gray Red Orange Blue Orange Yellow Gray\nBrown Yellow Black Orange Brown Gray Pink Blue Gray Pink\nBlack Brown Purple Yellow Yellow Pink Gray Pink Pink Purple\n\nOutput:\nPink Black Blue Green Red Gray Blue Yellow Green Pink\nBrown Purple Brown Blue Orange Purple Yellow Purple Purple Orange\nOrange Purple Gray Pink Blue Pink Purple Gray Red Red\nBrown Black Black Pink Black Blue Orange Orange Gray Pink\nBlue Red Green Gray Blue Orange Green Orange Yellow Gray\nBrown Yellow Black Orange Brown Gray Pink Green Gray Pink\nBlack Brown Purple Yellow Yellow Pink Gray Pink Pink Purple\n\n\nExample 3\nInput:\nYellow Purple Black Black Blue Brown Green Red Pink Orange Gray\nPink Yellow Gray Brown Brown Red Orange Black Pink Green Orange\nRed Red Purple Green Pink Yellow Blue Black Gray Orange Brown\nBrown Pink Yellow Gray Orange Brown Purple Black Purple Gray Red\nYellow Green Yellow Brown Red Red Orange Brown Pink Orange Blue\nPurple Green Red Green Black Green Red Black Brown Black Red\nPink Black Purple Purple Gray Orange Red Pink Green Yellow Red\n\nOutput:\nYellow Purple Black Black Green Brown Red Blue Pink Orange Gray\nPink Yellow Gray Brown Brown Blue Orange Black Pink Red Orange\nBlue Blue Purple Red Pink Yellow Green Black Gray Orange Brown\nBrown Pink Yellow Gray Orange Brown Purple Black Purple Gray Blue\nYellow Red Yellow Brown Blue Blue Orange Brown Pink Orange Green\nPurple Red Blue Red Black Red Blue Black Brown Black Blue\nPink Black Purple Purple Gray Orange Blue Pink Red Yellow Blue\n\n\nHere is the input grid for the test example:\nInput:\nGray Brown Yellow Green Gray Purple Yellow Purple Red\nGray Yellow Gray Yellow Gray Purple Purple Pink Gray\nGray Gray Orange Purple Black Red Pink Pink Gray\nBrown Yellow Red Blue Gray Brown Brown Purple Blue\nOrange Pink Red Pink Black Orange Green Yellow Pink\nBlue Gray Green Green Purple Pink Orange Orange Black\nRed Green Brown Brown Blue Orange Orange Purple Pink\nPurple Black Red Gray Red Black Yellow Yellow Blue\nBrown Orange Red Blue Brown Black Pink Red Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Brown Yellow Red Gray Purple Yellow Purple Blue\nGray Yellow Gray Yellow Gray Purple Purple Pink Gray\nGray Gray Orange Purple Black Blue Pink Pink Gray\nBrown Yellow Blue Green Gray Brown Brown Purple Green\nOrange Pink Blue Pink Black Orange Red Yellow Pink\nGreen Gray Red Red Purple Pink Orange Orange Black\nBlue Red Brown Brown Green Orange Orange Purple Pink\nPurple Black Blue Gray Blue Black Yellow Yellow Green\nBrown Orange Blue Green Brown Black Pink Blue 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 Blue Black Blue Yellow Black Black\nBlack Yellow Blue Black Yellow Yellow Yellow Black\nBlue Blue Blue Black Black Yellow Blue Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black\nRed Red Red Black Black Black Black Black\nRed Red Red Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Red Black Black Black\nBlack Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Yellow Yellow Black Black Blue\nBlack Black Yellow Yellow Black Yellow Blue\nBlue Black Yellow Yellow Black Black Blue\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 Red Black\nRed Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Red Red Black Black Black Black Blue Black\nBlack Red Blue Black Black Black Black Blue Black\nBlack Red Red Black Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Red Black\nBlack Black Red Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Blue Black Blue Blue\nBlack Black Blue Black Black Blue Black Black Yellow\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Red Black Red Red\nBlack Black Red Black Black Red Black Black Red\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black 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 Blue Blue Black Black Black Blue Blue Black Black Blue Blue\nBlack Blue Blue 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 Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlue Blue Black Blue Blue Black Black Yellow Yellow Yellow Black Black\nBlue Blue Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Blue Blue Black Black Black Blue Blue Black Black Blue Blue\nBlack Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlue Blue Black Blue Blue Black Black Yellow Yellow Yellow Black Black\nBlue Blue Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black\nYellow Yellow Yellow Black Blue Blue Black Black Black Black Black\nYellow Yellow Yellow Black Blue Blue Black Black Black Blue Blue\nYellow Yellow Yellow Black Black Black Black Black Black 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\nOutput:\nBlack Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black\nYellow Yellow Yellow Blue Blue Blue Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Black Black Black Blue Blue\nYellow Yellow Yellow Black Black Black Black Black Black 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\nExample 3\nInput:\nBlack Black Black Black Black Black Black Blue Blue\nBlack Blue Blue Black Black Black Black Blue Blue\nBlack Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow\nBlack Blue Blue Black Black Black Yellow Yellow Yellow\nBlack Blue Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Blue Blue\nBlack Blue Blue Black Black Black Black Blue Blue\nBlack Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Yellow Yellow Yellow\nBlack Blue Blue Black Black Black Yellow Yellow Yellow\nBlack Blue Blue Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue\nBlack Blue Blue Black Black Black Black Blue Blue\nBlack Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue\nBlack Blue Blue Black Black Black Blue Blue Blue\nBlack Blue Blue Blue Black Black Blue Blue Black\nBlack Black Blue Blue Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Blue Black Blue Black Black Black Black Black Blue Black Blue Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Brown Black Black Black Brown\nBlack Black Blue Brown Blue Black Blue Black Blue Brown Blue Brown Blue Black Black\nBrown Black Black Black Black Blue Black Black Black Blue Brown Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Blue Black Black Black Black Brown Black Brown Blue Black Blue Black Black Black\nBlue Black Black Black Blue Black Blue Black Black Black Black Black Blue Black Black\nBrown Blue Brown Blue Brown Black Black Blue Brown Black Black Black Black Blue Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Blue Black Black Black Blue Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Blue Black Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown\nBlack Black Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue\nBlack Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown\nBlack Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue\nBrown Black Black Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown\nBlack Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue\nBlack Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown\nBlue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue\nBrown Blue Brown Blue Brown Blue Black Blue Brown Blue Brown Blue Brown Blue Brown\nBlack Brown Blue Brown Blue Brown Blue Black Blue Brown Blue Brown Blue Brown Blue\nBlack Blue Brown Blue Brown Blue Brown Blue Black Blue Brown Blue Brown Blue Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Pink Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Pink Black Black Gray Black Black Pink\nGray Pink Black Pink Black Black Black Black Black Pink Black Pink Gray\nPink Black Black Black Pink Black Pink Gray Pink Black Black Black Pink\nBlack Black Black Black Black Pink Gray Black Black Black Black Black Black\nPink Black Black Black Pink Gray Pink Black Black Black Black Black Black\nBlack Pink Black Pink Gray Black Black Black Black Black Black Black Gray\nBlack Black Pink Gray Pink Gray Pink Black Black Black Pink Gray Black\nBlack Pink Black Black Black Black Black Black Black Black Black Black Black\nPink Black Pink Black Black Gray Black Black Black Gray Black Black Pink\n\nOutput:\nBlack Black Gray Pink Black Pink Gray Pink Gray Pink Gray Pink Gray\nBlack Gray Pink Black Pink Gray Pink Black Pink Gray Pink Gray Pink\nGray Pink Black Pink Black Pink Gray Pink Gray Pink Gray Pink Gray\nPink Gray Pink Black Pink Black Pink Gray Pink Gray Pink Gray Pink\nBlack Pink Gray Pink Black Pink Gray Pink Gray Pink Gray Pink Gray\nPink Black Pink Gray Pink Gray Pink Gray Pink Gray Pink Black Pink\nBlack Pink Black Pink Gray Pink Gray Pink Gray Pink Gray Pink Gray\nBlack Black Pink Gray Pink Gray Pink Gray Pink Gray Pink Gray Pink\nBlack Pink Black Pink Gray Pink Gray Pink Gray Pink Gray Pink Gray\nPink Black Pink Black Pink Gray Pink Gray Pink Gray Pink Gray Pink\n\n\nExample 3\nInput:\nPurple Brown Black Black Black Black Purple Black Purple Black Black Brown Purple Black\nBlack Purple Black Black Black Black Black Purple Brown Black Black Purple Black Black\nBlack Brown Purple Brown Black Black Black Brown Purple Black Purple Brown Black Black\nBrown Black Black Purple Brown Black Brown Purple Black Black Black Black Black Purple\nPurple Brown Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Purple Brown Black Black Black Black Black Black Black Brown Black\nBlack Black Black Brown Black Black Purple Black Black Black Black Black Purple Black\nBrown Black Black Black Brown Purple Brown Purple Brown Purple Black Purple Black Black\nPurple Black Purple Brown Black Black Purple Black Purple Black Black Black Purple Black\nBrown Purple Black Black Black Purple Black Black Black Black Black Purple Black Black\n\nOutput:\nPurple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown\nBlack Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple\nBlack Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown\nBrown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple\nPurple Brown Black Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown\nBlack Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple\nBlack Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown\nBrown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple\nPurple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown\nBrown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple Brown Purple\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Black Black Black Black Black Black Yellow Black Black Brown\nBlack Black Black Black Brown Yellow Brown Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Yellow Brown\nBlack Black Black Yellow Black Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Brown Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Brown Black Brown Black Black Black Brown Black Black Black\nBlack Brown Yellow Black Yellow Black Black Black Black Black Black Black\nBrown Black Brown Yellow Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBrown Yellow Black Black Black Yellow 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```\nYellow Black Black Black Black Brown Yellow Brown Yellow Brown Yellow Brown\nBlack Yellow Black Black Brown Yellow Brown Yellow Brown Yellow Brown Yellow\nBlack Black Yellow Black Yellow Brown Yellow Brown Yellow Brown Yellow Brown\nBlack Black Black Yellow Black Yellow Brown Yellow Brown Yellow Brown Yellow\nBlack Black Black Black Yellow Brown Yellow Brown Yellow Brown Black Brown\nBlack Black Black Black Brown Yellow Brown Yellow Brown Yellow Brown Yellow\nBlack Black Black Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown\nBlack Black Brown Yellow Brown Yellow Black Yellow Brown Yellow Brown Yellow\nBlack Brown Yellow Brown Yellow Brown Black Black Yellow Brown Yellow Brown\nBrown Black Brown Yellow Brown Yellow Brown Yellow Black Yellow Brown Yellow\nBlack Brown Yellow Brown Yellow Brown Yellow Brown Black Black Yellow Brown\nBrown Yellow Brown Black Brown Yellow Brown Yellow Brown Black Brown 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\nGreen Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black\nGreen Green Green Green Black Black Black Black\nRed Red Red Black Black Black Black Black\nGreen Green Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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\nGreen Green Green 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\nGreen Black Black Black Black Black Black\nRed Red Black Black Black Black Black\nGreen Green Green Black Black Black Black\nRed Red Black Black Black Black Black\nGreen Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green 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 Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black\nRed Red Red Red Red Red Black Black Black\nGreen Green Green Green Green Green Green Black Black\nRed Red Red Red Red Red Black Black Black\nGreen Green Green Green Green Black Black Black Black\nRed Red Red Red Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black\nPurple Black Purple Purple Black Black Black Black\nPurple Black Black Purple Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black\nPurple Purple Purple 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 Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black\nBlack Orange Black Orange Orange Black Black Black Black Black\nBlack Orange Black Black Orange Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Gray Black Gray Gray Black Black Black Black Black Black\nBlack Gray Black Black Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black\nPink Black Pink Pink Black Black Black Black Black\nPink Black Black Pink Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Pink Black Black Pink Black Black Pink Black Black Pink Black\nBlack Black Pink Pink Pink Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Pink Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack 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 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 Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Pink Black Black Pink Black Black Pink Black Black Pink Black\nBlack Black Pink Pink Pink Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack 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 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 Yellow Yellow Yellow Yellow Black Black\nBlack Orange Orange Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange 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\nRed Black Red Black Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Red Red Black Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Black Red Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nRed Black Red Black Blue Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nRed Red Red Black Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Black Red Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Brown Black 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 Brown 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Green Green Black Black Brown Black 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 Brown 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 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 Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Gray Gray Black\nBrown Black Black Black Black Black Black Black Black Pink Pink Pink Gray Gray\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Gray Gray Black Black Black Black\nBrown Brown Brown Black Black Pink Pink Pink Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Green Red Green Black Red\nBlack Black Green Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Red 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\nGreen Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Green Black Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Green Green Green Black Green\nBlack Black Green Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Green Black Black Black Black Black\nBlack 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 Green Green Green 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 Red Black Green Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Red Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Red Black Black\nBlack Black Black Black Red Green Black Black Black Black Red Green Black Red Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Green Black Green Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Green Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Green Black Black\nBlack Black Black Black Green Green Black Black Black Black Green Green Black Green Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Red Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black Red\nBlack Black Black Black Red Black Black Red Black Black Green Green Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Green Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black\n\nOutput:\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Green Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black Red\nBlack Black Black Black Green Black Black Green Black Black Green Green Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Green Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Red Green Black Black Black Black Black Black Black\nBlack 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 Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black\nGreen Black Red Black Black Red Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Green Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Green Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Red Black Red\nBlack Black Black Black Black Black Black Black Black Green Black Green Black Black\nBlack Black Black Green Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green 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 Green Green Black Black Black Black Black Black Black\nBlack 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 Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black\nGreen Black Green Black Black Green Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Green Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Green Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Green Black Green\nBlack Black Black Black Black Black Black Black Black Green Black Green Black Black\nBlack Black Black Green 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 Green Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack 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 Gray Gray Gray 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 Gray Gray Gray Black Black Black Black Black Black Black\nBlack 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 Black 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:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Gray Gray Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Gray Gray Gray Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray 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\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black 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:\nBlack 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 Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\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 Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and 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 Yellow Pink Brown Purple Gray Black Black Black\nBlack Black Pink Orange Brown Green Green Black Black Black\nBlack Black Orange Orange Brown Orange Gray Black Black Black\nBlack Black Orange Blue Pink Gray Purple Black Black Black\nBlack Black Orange Yellow Purple Red Orange Black Black Black\nBlack Black Orange Green Orange Blue Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Brown Brown Gray Gray Black Black\nBlack Black Yellow Yellow Brown Brown Gray Gray Black Black\nBlack Black Orange Orange Brown Brown Gray Gray Black Black\nBlack Black Orange Orange Brown Brown Gray Gray Black Black\nBlack Black Orange Orange Purple Purple Orange Orange Black Black\nBlack Black Orange Orange Purple Purple Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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 Yellow Blue Red Green Pink Blue Black Black\nBlack Black Gray Red Orange Brown Blue Purple Black Black\nBlack Black Brown Gray Brown Brown Purple Purple Black Black\nBlack Black Brown Pink Orange Blue Orange Brown Black Black\nBlack Black Pink Green Green Yellow Yellow Orange Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Red Red Pink Pink Black Black\nBlack Black Yellow Yellow Red Red Pink Pink Black Black\nBlack Black Brown Brown Brown Brown Purple Purple Black Black\nBlack Black Brown Brown Brown Brown Purple Purple Black Black\nBlack Black Pink Pink Green Green Yellow Yellow Black Black\nBlack Black Pink Pink Green Green 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 Brown Yellow Yellow Red Black Black Black\nBlack Black Black Green Blue Orange Purple Black Black Black\nBlack Black Black Pink Orange Gray Pink Black Black Black\nBlack Black Black Blue Purple Yellow Orange Black Black Black\nBlack Black Black Green Purple Blue Blue Black Black Black\nBlack Black Black Brown Green Orange Gray 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 Yellow Yellow Red Red Black Black\nBlack Black Black Black Yellow Yellow Red Red Black Black\nBlack Black Black Black Orange Orange Pink Pink Black Black\nBlack Black Black Black Orange Orange Pink Pink Black Black\nBlack Black Black Black Purple Purple Blue Blue Black Black\nBlack Black Black Black Purple Purple Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\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 Pink Gray Green Pink Brown Black Black Black\nBlack Black Gray Brown Blue Pink Gray Black Black Black\nBlack Black Pink Gray Pink Brown Brown Black Black Black\nBlack Black Orange Pink Pink Pink Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Gray Gray Blue Blue Gray Gray Black Black\nBlack Black Gray Gray Blue Blue Gray Gray Black Black\nBlack Black Orange Orange Pink Pink Purple Purple Black Black\nBlack Black Orange Orange Pink Pink Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and 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 Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown 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 Gray Gray Gray Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black\nBlack Gray Gray Gray Brown Brown Brown Black\nBlack Black Black Black Brown Brown Brown Black\nBlack Black Black Black Brown Brown Brown Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Brown Black\nPink Black Black Black Purple 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 Gray Black Black Black Black Black\n\nOutput:\nPink Pink Black Purple Purple Purple Brown\nPink Pink Black Purple Purple Purple Brown\nPink Pink Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black\nGray Gray Gray 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\nOrange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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\nOrange Orange Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Red Red Black Black\nBlack Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black 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 Green Black\nBlack Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Purple Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Yellow Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Black Black Black Black\nBlack Black Black Green Black Green Black Black Black\nBlack Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black\nBlack Black Black Purple Black Purple Black Black Black\nBlack Black Purple Black Black Black Purple Black Black\nBlack Purple Black Black Black Black Black Purple Black\nBlack Black Purple Black Black Black Purple Black Black\nBlack Black Black Purple Black Purple Black Black Black\nBlack Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\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\nPink 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\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Pink Black Pink Black Black\nBlack Pink Black Black Black Pink Black\nPink Black Black Black Black Black Pink\nBlack Pink Black Black Black Pink Black\nBlack Black Pink Black Pink Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Pink Black Black\nBlack Purple Black Pink Black\nGreen Black Brown Black Black\nBlack Black Black Orange Black\n\nOutput:\nOrange Orange Pink Black Black\nBlack Purple Black Pink Black\nYellow Black Brown Black Black\nBlack Black Black Orange Black\n\n\nExample 2\nInput:\nBlack Green Brown Black\nRed Black Black Black\nBlack Red Black Red\nBlack Black Blue Purple\nGray Orange Black Black\n\nOutput:\nBlack Yellow Brown Black\nRed Black Black Black\nBlack Red Black Red\nBlack Black Blue Purple\nGray Orange Black Black\n\n\nExample 3\nInput:\nBrown Black Black Black Pink\nBlack Red Black Pink Green\nBlack Black Black Gray Purple\nBlack Orange Blue Black Black\nYellow Black Black Black Black\n\nOutput:\nBrown Black Black Black Pink\nBlack Red Black Pink Yellow\nBlack Black Black Gray Purple\nBlack Orange Blue Black Black\nYellow Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Brown\nGreen Gray Black\nBlack 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 Gray Brown\nYellow Gray Black\nBlack 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:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Black Black Black Black Black Black Black Black Brown\nBrown Black Black Purple Black Black Black Black Black Brown\nBrown Gray Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Black Black Black Black Black Brown\nBrown Black Black Black Red Black Black Black Black Brown\nBrown Black Black Black Black Black Orange Pink Black Brown\nBrown Black Black Black Black Black Black Yellow Black Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Black Black Black Black Pink\nPink Black Black Purple Black Black Black Black Black Pink\nPink Gray Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Red Black Black Black Black Pink\nPink Black Black Black Black Black Orange Pink Black Pink\nPink Black Black Black Black Black Black Yellow Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Black Black Black Gray Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Green\nGreen Black Gray Black Yellow Black Yellow Black Black Green\nGreen Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Purple Black Green\nGreen Black Black Black Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Green\nGreen Green Green Green Green Green Green Green Green Green\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Gray Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Pink\nPink Black Gray Black Yellow Black Yellow Black Black Pink\nPink Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Purple 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\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Pink Black Black Black Black Gray\nGray Black Black Black Black Black Red Black Black Gray\nGray Black Black Black Black Black Brown Black Black Gray\nGray Black Black Black Black Black Black Black Red Gray\nGray Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Orange Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Pink Black Black Black Black Pink\nPink Black Black Black Black Black Red Black Black Pink\nPink Black Black Black Black Black Brown Black Black Pink\nPink Black Black Black Black Black Black Black Red Pink\nPink Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Orange 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\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Red Red Red Red\nRed Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Green Black Black Black Red\nRed Yellow Black Black Black Black Yellow Black Black Red\nRed Black Black Black Black Black Black Black Black Red\nRed Black Black Black Gray Black Green Black Black Red\nRed Black Black Black Black Yellow Black Black Black Red\nRed Black Black Black Black Black Black Black Black Red\nRed Blue Black Black Black Black Black Black Black Red\nRed 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```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Green Black Black Black Pink\nPink Yellow Black Black Black Black Yellow Black Black Pink\nPink Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Gray Black Green Black Black Pink\nPink Black Black Black Black Yellow Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Pink\nPink Blue 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black\nBlack Pink Pink Pink 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 Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Brown Brown Brown Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow 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 Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Gray Black Black Black Gray Gray Black Black\nBlack Gray Gray Gray Black Black Gray Black Black Black\nBlack Black Gray Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Gray Black\nBlack Black Black Gray Gray Black Black Black Gray Gray\nBlack Black Black Gray Gray Gray Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Orange Black Black Black Orange Orange Black Black\nBlack Orange Orange Orange Black Black Orange Black Black Black\nBlack Black Orange Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Yellow Black\nBlack Black Black Yellow Yellow Black Black Black Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Black Black Black Black Gray Black Black Black\nBlack Gray Gray Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Orange Black Black Black\nBlack Yellow Yellow Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black\nBlack Black Orange 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\n\n\nExample 3\nInput:\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Gray Black\nBlack Gray Gray Black Black Black Black Gray Gray Gray\nGray Gray Black Black Black Black Black Black Gray Black\nGray Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Gray Black Gray Black Black Black Gray Black\nBlack Black Gray Black Black Black Black Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Gray Black\n\nOutput:\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Black Orange Black\nBlack Orange Orange Black Black Black Black Orange Orange Orange\nOrange Orange Black Black Black Black Black Black Orange Black\nOrange Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Orange Black Yellow Black Black Black Orange Black\nBlack Black Orange Black Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Orange Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Gray Black Black\nBlack Gray Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Gray Black Black Gray Black Black\nBlack Black Black Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray 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 Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Orange Black Black\nBlack Orange Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Yellow Black Black Orange Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Purple Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Blue Black Black Black Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black 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 Green Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Green Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Blue Green Purple Purple Purple Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Green Black Black Black Purple Purple Green Purple Purple Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Purple Purple Purple Green Purple Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Blue Black Black Black Black Blue Purple Purple Purple Green Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Green Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Green Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Green\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Purple Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Black Black Black Black Gray Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Pink Pink Pink Pink Pink Blue Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Pink Pink Pink Pink Blue Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Blue Pink Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Pink Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Blue Gray Gray Gray Gray Gray Blue Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Gray Gray Gray Gray Gray Gray Blue Black Black Pink Black Pink Black Purple Purple Purple Purple Purple Blue Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Blue Black Pink Black Black Black Pink Purple Purple Purple Purple Purple Blue Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Blue Pink Black Black Black Black Black Pink Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Gray Gray Gray Gray Gray Pink Black Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Pink Blue Black Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow\nBlack Black Black Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Blue Blue Blue Yellow Blue Blue Blue Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Yellow Blue Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Blue Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Blue Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Yellow Blue Blue Blue Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Blue 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\nBlack Black Black Black Black Black Brown Blue Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Yellow Black Blue Black Black\nBlack Black Black Black Blue Black Black Blue Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black\nBrown Black Green Black Black Black Black Black Black Black Black Black Black Black Brown Black Green\nBlack Brown Black Green Black Black Black Black Black Black Black Black Black Brown Black Green Black\nBlack Black Brown Black Green Black Black Black Black Black Black Black Brown Black Green Black Black\nBlack Black Black Brown Blue Green Blue Blue Black Black Black Brown Black Green Black Black Black\nBlack Black Black Black Brown Brown Green Blue Black Black Brown Black Green Black Black Black Black\nBlack Black Black Black Brown Brown Brown Green Black Brown Black Green Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Blue Green Black Green Blue Blue Blue Blue Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Blue Brown Brown Blue Green Black Green Yellow Yellow Yellow Blue Black Black\nBlack Black Black Black Blue Brown Blue Green Black Brown Black Green Yellow Yellow Blue Black Black\nBlack Black Black Black Brown Black Green Black Black Black Brown Yellow Green Yellow Blue Black Black\nBlack Black Black Brown Black Green Black Black Black Black Black Brown Blue Green Blue Black Black\nBlack Black Brown Blue Green Blue Black Black Black Black Black Black Brown Black Green Black Black\nBlack Brown Green Green Green Blue Black Black Black Black Black Black Black Brown Black Green Black\nBrown Black Green Green Green Blue Black Black Black Black Black Black Black Black Brown Black Green\nBlack Green Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Brown Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Pink Orange Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Pink Green Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Pink Gray Pink Orange Black Black Brown Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Pink Green Pink Green Green Black Purple Purple Brown Purple Brown Black Black\nBlack Black Black Black Black Black Black Black Green Orange Pink Black Black Purple Brown Gray Brown Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Purple Brown Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Brown Black Black Black\nBlack Black Black Green Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Purple Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Purple Gray Purple Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Purple Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Red Red Brown Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Red Gray Brown Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Green Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Yellow Purple Black Black\nPurple Green Purple Green Green Black\nYellow Purple Yellow Yellow Green Purple\nGreen Green Brown Brown Green Green\nBlack Gray Red Gray Brown Yellow\nBlack Gray Red Red Brown Yellow\nBlack Pink Gray Gray 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 Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Purple Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Gray Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Yellow Gray Black Gray Yellow Black Black Black Black Black Black\nYellow Purple Gray Purple Yellow Black Black Black Black Gray Black Gray Black Gray Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Yellow Gray Black Gray Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Blue Gray Blue Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Red Black Red Red Red Black Black Black Black Black Black Black Black Black Black Purple Pink Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Gray Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Pink Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black\n\nOutput:\nBlack Pink Green Red Purple Red Black Red Black Black\nPink Pink Green Green Purple Pink Purple Purple Black Black\nPink Purple Gray Red Pink Gray Pink Red Yellow Gray\nPink Pink Green Purple Purple Pink Purple Yellow Gray Gray\nBlack Pink Green Red Green Red Purple Red Purple Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Yellow Gray Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Green Green Blue Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Blue Red Blue Red Black Black Black Purple Blue Yellow Black Black Black Black Gray Brown Black Black\nBlack Red Red Gray Red Red Black Black Black Gray Blue Blue Black Black Black Black Blue Black Yellow Black\nBlack Red Blue Red Blue Black Black Black Black Purple Blue Yellow Black Black Gray Blue Gray Yellow Brown Black\nBlack Black Black Red Red Black Black Green Green Blue Yellow Yellow Black Black Brown Black Yellow Red Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Brown Brown Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Gray Brown Brown Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Red Red Green Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Red Red Gray Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Brown Black Orange Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Blue Blue Yellow Black Black\nYellow Blue Yellow Orange Orange Black Black\nBlue Green Gray Brown Pink Black Black\nRed Red Red Brown Pink Black Black\nGray Red Red Pink Pink Orange Purple\nBlack Black Blue Black Yellow Black Black\nBlack Black Gray Brown 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 Pink Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Gray Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Purple Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Gray Pink Gray Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Pink Orange Pink Brown Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Pink Pink Orange Pink Pink Black Black Black Black Black Black\nBlack Orange Blue Orange Blue Black Black Black Black Blue Blue Gray Blue Blue Black Black Black Black Black Black\nBlue Blue Gray Blue Blue Black Black Black Black Black Blue Black Blue Black Black Black Black Black Black Black\nBlue Orange Blue Orange Black Black Black Black Black Blue Blue Pink Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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```\nBrown Blue Blue Blue Blue\nPink Orange Blue Orange Blue\nBlue Blue Gray Blue Blue\nBlue Orange Blue Orange Blue\nBrown Pink Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Yellow Black Black Black\nBlack Yellow Black Black Black\nYellow Yellow Yellow Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Yellow Black Black Black\nYellow Yellow Yellow Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBrown Brown Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBrown Brown Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nGray Black Black Black Black\nGray Gray Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nGray Black Black Black Black\nGray Gray Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Black Black Black\nRed Red Black Black Black\nBlack Red Red Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Black Black Black\nBlack Red Red Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Blue Blue Black Black Black Red Black Green Black\nBlack Black Black Black Black Black Black Blue Red Green\nBlack Black Red Black Black Black Green Green Blue Black\nBlack Red Black Black Black Black Black Red Black Black\nBlack Black Black Blue Black Green Black Blue Black Green\nRed Blue Black Green Black Black Red Black Blue Green\nBlack Blue Black Red Black Black Black Green Blue Black\nBlack Black Red Black Blue Black Green Blue Blue Green\nBlack Black Black Black Black Black Black Green Black Black\nRed Black Red Black Green Black Blue Blue Black Green\n\nOutput:\nBlack Purple Purple Black Black Black Orange Black Yellow Black\nBlack Black Black Black Black Black Black Purple Orange Yellow\nBlack Black Orange Black Black Black Yellow Yellow Purple Black\nBlack Orange Black Black Black Black Black Orange Black Black\nBlack Black Black Purple Black Yellow Black Purple Black Yellow\nOrange Purple Black Yellow Black Black Orange Black Purple Yellow\nBlack Purple Black Orange Black Black Black Yellow Purple Black\nBlack Black Orange Black Purple Black Yellow Purple Purple Yellow\nBlack Black Black Black Black Black Black Yellow Black Black\nOrange Black Orange Black Yellow Black Purple Purple Black Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Red Black Black Green Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nGreen Black Black Blue Black Black Black Red Black Green\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Red\nBlue Black Black Blue Black Black Black Black Red Blue\nBlack Red Black Black Black Black Black Green Black Black\nBlack Black Black Black Red Black Black Red Black Black\nRed Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Orange Black Black Yellow Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nYellow Black Black Purple Black Black Black Orange Black Yellow\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Orange\nPurple Black Black Purple Black Black Black Black Orange Purple\nBlack Orange Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Orange Black Black Orange Black Black\nOrange Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlue Black Red Black Blue Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Green\nRed Black Black Black Blue Black Black Green Black Black\nBlack Black Black Black Black Blue Black Black Red Black\nBlack Black Black Black Black Green Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Red Black Black\nBlack Black Black Blue Black Green Black Black Black Red\nBlack Black Blue Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Blue\n\nOutput:\nPurple Black Orange Black Purple Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Yellow\nOrange Black Black Black Purple Black Black Yellow Black Black\nBlack Black Black Black Black Purple Black Black Orange Black\nBlack Black Black Black Black Yellow Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Orange Black Black\nBlack Black Black Purple Black Yellow Black Black Black Orange\nBlack Black Purple Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Blue Green Black Green Black Black Black\nBlack Black Black Black Black Green Red Blue Black Red\nBlack Black Red Black Green Green Black Black Black Blue\nRed Black Black Black Blue Black Black Black Black Black\nBlue Red Black Black Blue Blue Red Black Red Black\nBlack Black Black Black Blue Blue Black Black Black Blue\nBlack Green Black Black Black Green Black Red Blue Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Green Black Black Black Red Black Black Black\nBlack Black Black Green Black Blue Black Green Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Purple Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Orange Purple Black Orange\nBlack Black Orange Black Yellow Yellow Black Black Black Purple\nOrange Black Black Black Purple Black Black Black Black Black\nPurple Orange Black Black Purple Purple Orange Black Orange Black\nBlack Black Black Black Purple Purple Black Black Black Purple\nBlack Yellow Black Black Black Yellow Black Orange Purple Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Purple Yellow Black Black Black Orange Black Black Black\nBlack Black Black Yellow Black Purple Black Yellow Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Pink Black Pink Black\nBlack Black Black Black Black Pink Black Pink\nBlack Black Black Black Pink Black Pink Black\nBlack Black Black Black Black Pink Black Pink\nBlack Black Black Black Pink Black Pink Black\nBlack Black Black Black Black Pink Black Pink\nBlack Black Black Black Pink Black Pink Black\nBlack Black Black Black Black Pink Black Pink\n\n\nExample 2\nInput:\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Black Yellow Black Black\nBlack Yellow Black Yellow Black Black Black\nYellow Black Yellow Black Yellow Black Black\nBlack Yellow Black Yellow Black Black Black\nYellow Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Brown Black Brown Black Brown Black Brown Black\nBrown Black Brown Black Brown Black Brown Black Black\nBlack Brown Black Brown Black Brown Black Brown Black\nBrown Black Brown Black Brown Black Brown Black Black\nBlack Brown Black Black Black Brown Black Brown Black\nBrown Black Brown Black Brown Black Brown Black Black\nBlack Brown Black Brown Black Brown Black Brown Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPink Black Pink Black Pink Black Pink Black Black\nBlack Pink Black Pink Black Pink Black Black Black\nPink Black Pink Black Pink Black Pink Black Black\nBlack Pink Black Pink Black Pink Black Black Black\nPink Black Black Black Pink Black Pink Black Black\nBlack Pink Black Pink Black Pink Black Black Black\nPink Black Pink Black Pink 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\nBlack Black Black Black Black Black Black\nPink 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:\nBlack Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Orange Black Black Black Black\nBlack Black Orange Black Black Black\nBlack Black Orange Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Orange Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack 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 Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\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:\nPink Pink Black Black Black\nBlack Black Black Black Black\nPink Black Pink Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Pink Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black 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\nPink Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nRed Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nRed Red 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\nRed Red Red Red Black Black Black Black Pink Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\n\nOutput:\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\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\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Orange 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Red Black Black Black Black Black Yellow Black\nBlack Black Green Green Black Black Black Black Red Red Black Black Black Black Yellow Yellow\nBlack Black Green Green Green Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\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 Gray Black Black Pink Black Black Black\nBlack Pink Black Black Black Black Black Gray Gray Black Pink Pink Black Black\nBlack Pink Pink Black Black Black Black Gray Gray Gray Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBrown Brown Black Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown 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```\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Green Green Green\nBlack Black Black Black Orange Orange Orange Orange Black Black Purple Purple Purple Purple Green Green Green\nRed Red Red Red Black Orange Orange Black Black Black Purple Purple Purple Purple Black Black Black\nRed Red Red Red Black Orange Orange Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Blue Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Blue Black Black Black Black Black Black Red Red Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Green Green\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Purple Purple Purple Purple Green Green\nBlack Red Red Red Red Black Orange Orange Black Black Black Purple Purple Purple Purple Black Black\nBlack Red Red Red Red Black Orange Orange Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Yellow Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Yellow Black Black Black Black Black Black Red Red Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Blue Blue Blue Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Blue Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Pink Pink Pink Black Black Black Black Black\nRed Black Red Black Blue Blue Blue Pink Black Black Black Black Black Black Black\nRed Red Red Black Blue Blue Blue Black Black Black Black Black Black Black Black\nRed Black Red Blue Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Yellow Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Red Black Red Black Yellow Yellow Yellow Pink Black Black Black Black Black Black\nBlack Red Red Red Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Red Black Red Yellow Black Black Black Black Black Black Black Black Yellow 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 Yellow 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 Blue Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Red Red Red Black Black Black Black Black Purple Purple Purple Purple\nBlack Blue Black Black Black Black Black Black Black Black Black Black Purple Black Black Purple\nBlack Black Black Blue Black Black Pink Pink Blue Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Pink Pink Black Black Black Black Black Red Black Black\nBlue Black Brown Brown Black Black Pink Pink Black Black Black Blue Red Red Red Black\nBlack Black Brown Brown Black Black Pink Pink Black Blue Black Blue Black Red Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Pink Black Pink Black Black Black Black Blue Black Blue Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Pink Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Purple Purple Purple\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Yellow Black Black Pink Pink Yellow Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Pink Pink Black Black Black Black Black Red Black\nBlack Yellow Black Brown Brown Black Black Pink Pink Black Black Black Yellow Red Red Red\nBlack Black Black Brown Brown Black Black Pink Pink Black Yellow Black Yellow Black Red Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Pink Black Pink Black Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Pink Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Brown Black Black Brown Blue Black Black Black\nBlack Black Gray Gray Black Black Brown Brown Brown Brown Black Black Black Black\nBrown Brown Orange Orange Black Black Brown Brown Brown Brown Black Black Black Black\nBrown Brown Orange Orange Black Black Blue Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Blue Black Red Red Red Red Black Black\nBlack Black Blue Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Blue Black Black Black Blue Black Black Black Black Black Blue Blue\nBlack 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 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```\nBlack Black Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Brown Black Black Brown Yellow Black Black\nBlack Black Black Gray Gray Black Black Brown Brown Brown Brown Black Black Black\nBlack Brown Brown Orange Orange Black Black Brown Brown Brown Brown Black Black Black\nBlack Brown Brown Orange Orange Black Black Yellow Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Yellow Black Red Red Red Red Black\nBlack Black Black Yellow Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Yellow Black Black Black Yellow Black Black Black Black Black Yellow\nBlack 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 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 Pink Black Pink Black Black Brown Black Brown Black Black Black Black Black Black Black\nBlack Black Pink Black Pink Black Black Brown Black Brown Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Brown Brown Brown Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Purple Purple Black Black Gray Gray Black Black Black Black Black Brown Black Black Black\nBlack Black Purple Purple Purple Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Yellow Yellow Yellow Black Black Black Black Black Pink Pink Black Black\nPink Pink Black Black Black Yellow Yellow Yellow Black Black Black Orange Black Pink Pink Pink Black\nPink Pink Pink Black Black Black Yellow Black Black Orange Orange Orange Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Orange 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Orange Orange Orange Black Black Black Yellow Black Black Black Black Black Brown Black\nBlack Black Black Orange Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Green\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Red Black Black Black Black Blue Blue Blue Black\nYellow Yellow Black Black Black Black Red Red Red Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Pink Black Black\nBlack Blue Black Black Black Black Gray Black Black Black Pink Pink Pink Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Pink Black Black\nBlack Blue Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Brown Black Black Black\nBlack Black Black Black Brown Black Black Black Black Brown Brown Brown Black Black\nPink Black Black Black Black Black Black Black Black Black Brown Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Green Green Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Green Green Green Black Black Black Gray Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Purple Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Purple Purple Purple Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue 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 Blue 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 Blue Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black 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 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 Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue 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\nBlack Black Black Black Black Black Black Blue 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 Blue Blue Blue Blue Blue 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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:\nGray Black Black Gray Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Green Purple Purple Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Green Green Purple Purple Purple\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Purple Purple Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Brown Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Brown Black Brown Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown 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 Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Red Red Black Red Black Black Black Black\nBlack Yellow Black Yellow Yellow Black Black Black Black Red Red Red Black Black Black Black\nBlack Yellow Yellow Black Yellow Black Black Black Red Red Red Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Red Black Red Red 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 Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Pink Pink Pink Pink Black Black Black Black Black\nGreen Green Green Green Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Gray Blue Brown Blue Brown Gray Blue Brown Blue Blue Brown Gray Blue Orange Orange\nBlue Orange Brown Gray Gray Blue Gray Brown Orange Gray Purple Gray Orange Gray Blue Gray Blue\nPurple Gray Brown Gray Black Orange Blue Orange Black Purple Purple Gray Gray Blue Blue Blue Brown\nGray Gray Blue Blue Blue Orange Purple Brown Gray Orange Purple Brown Purple Blue Blue Blue Gray\nBlack Orange Brown Purple Gray Brown Blue Blue Orange Purple Orange Brown Brown Gray Orange Brown Orange\nPurple Blue Gray Blue Brown Purple Purple Blue Gray Orange Brown Brown Gray Orange Gray Blue Black\nOrange Blue Gray Gray Orange Gray Purple Blue Blue Gray Orange Blue Purple Purple Purple Orange Purple\nPurple Brown Purple Blue Purple Gray Gray Blue Purple Gray Orange Orange Orange Blue Purple Brown Gray\nGray Black Gray Orange Black Orange Blue Purple Blue Black Black Purple Blue Gray Orange Brown Orange\nGray Orange Purple Brown Blue Blue Purple Blue Gray Blue Gray Orange Gray Blue Purple Blue Orange\nGray Purple Orange Gray Blue Purple Purple Purple Blue Orange Gray Purple Purple Purple Gray Orange Gray\nGray Gray Orange Purple Orange Brown Blue Blue Black Blue Orange Gray Orange Orange Brown Orange Blue\nBlue Gray Blue Orange Blue Blue Blue Orange Brown Gray Gray Blue Blue Blue Blue Gray Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nGray Gray Red Black Pink Red Orange Purple Black Gray Gray Black Black Purple Black\nBlack Purple Red Purple Gray Gray Red Purple Red Red Pink Black Black Black Gray\nPink Orange Gray Pink Black Black Red Gray Red Orange Pink Gray Red Red Gray\nBlack Pink Pink Pink Black Gray Orange Purple Red Purple Pink Black Orange Pink Orange\nGray Pink Black Black Black Pink Purple Gray Pink Red Red Black Pink Purple Pink\nPink Black Red Red Pink Pink Orange Red Red Black Black Purple Pink Black Purple\nPink Purple Purple Gray Purple Gray Black Red Pink Orange Pink Black Red Pink Black\nGray Red Red Gray Pink Black Red Orange Orange Pink Gray Black Orange Purple Gray\nBlack Pink Purple Red Orange Orange Red Black Purple Gray Orange Orange Black Orange Gray\nOrange Gray Gray Black Purple Black Gray Purple Red Black Gray Gray Black Purple Black\nGray Red Orange Black Black Gray Purple Black Gray Black Orange Purple Pink Gray Black\nOrange Pink Black Pink Pink Black Black Orange Pink Pink Black Gray Pink Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nPink Blue Pink Pink Pink Orange Pink Blue Orange Blue Pink Pink Pink Orange Orange Black\nBlack Black Blue Orange Blue Orange Black Blue Pink Black Blue Blue Black Blue Black Blue\nBlack Blue Blue Orange Pink Blue Orange Pink Blue Orange Pink Black Pink Blue Blue Pink\nBlack Blue Pink Pink Black Pink Black Pink Pink Blue Black Blue Blue Black Orange Black\nPink Pink Black Blue Blue Blue Black Blue Blue Pink Pink Black Black Black Orange Pink\nBlue Blue Pink Pink Black Orange Orange Pink Pink Pink Pink Blue Black Orange Blue Pink\nPink Orange Blue Blue Pink Blue Blue Pink Black Blue Pink Pink Black Black Pink Blue\nBlue Pink Blue Pink Black Black Orange Black Black Pink Black Black Pink Pink Blue Orange\nBlack Blue Pink Black Orange Black Black Pink Blue Black Black Blue Blue Orange Black Blue\nPink Blue Black Pink Blue Blue Pink Blue Pink Black Blue Black Blue Black Pink Black\nPink Pink Pink Blue Black Blue Black Pink Black Black Black Black Blue Black Black Pink\nBlack Black Black Orange Black Pink Black Blue Pink Pink Black Black Pink Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nOrange Yellow Yellow Brown Yellow Yellow Brown Blue Orange Orange Brown Blue Yellow Orange\nOrange Orange Orange Brown Brown Yellow Orange Yellow Brown Yellow Orange Orange Orange Orange\nOrange Brown Brown Brown Black Brown Orange Brown Brown Orange Brown Blue Orange Brown\nYellow Orange Blue Orange Yellow Orange Yellow Blue Brown Yellow Orange Orange Orange Brown\nBlue Yellow Orange Orange Orange Brown Yellow Orange Orange Blue Orange Brown Orange Brown\nOrange Yellow Orange Orange Yellow Yellow Brown Yellow Yellow Yellow Orange Brown Blue Blue\nYellow Yellow Yellow Yellow Brown Orange Yellow Yellow Brown Brown Brown Brown Brown Blue\nYellow Orange Yellow Yellow Orange Orange Brown Yellow Orange Brown Brown Yellow Black Blue\nYellow Orange Orange Blue Yellow Black Yellow Blue Orange Brown Yellow Brown Brown Yellow\nBlue Yellow Blue Blue Orange Brown Brown Orange Yellow Yellow Brown Yellow Brown Blue\nBlue Orange Yellow Blue Brown Brown Yellow Brown Orange Yellow Orange Brown Yellow Blue\nBrown Brown Blue Orange Yellow Blue Yellow Blue Yellow Orange Brown Brown Brown Orange\nBrown Brown Yellow Orange Brown Blue Orange Blue Orange Brown Brown Yellow Orange Yellow\nOrange Brown Orange Yellow Orange Brown Yellow Brown Yellow Orange Orange Yellow Blue Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black\nBlack Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red\nRed Red Red Red\nRed Red Red Red\nRed Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red\nRed Red Red Red\nRed Red Red Red\nRed Red Red Yellow\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 Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red\nRed Red Red Red Red\nRed Red Red Red Red\nRed Red Red Red Red\nRed Red Red Red Brown\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 Pink Pink Black Black Black Black\nBlack Black Black Pink 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```\nRed Red Red Red\nRed Red Red Red\nRed Red Red Red\nRed Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\nBlack Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack 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 Red Red\nBlack Black Black Black Black Black Black Black Black Black 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 Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red\nBlack 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 Red Red Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Black Brown Black Brown Black Black Black Black Black\nBlack Black Black Brown Black Brown Black Brown Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Black Blue Black Blue Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Black Blue Black Blue Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 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 Black 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 Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue\nBlack 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 Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Blue Blue\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\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Green\nGreen Black Black Black Black Black Brown\nGray Brown Blue Black Red Black Gray\nBlue Orange Brown Orange Orange Brown Green\nGray Brown Green Red Orange Pink Green\n\nOutput:\nGreen Gray Blue Gray Brown Orange Brown Blue Brown Green Orange Red Red Orange Orange Brown Pink Green Brown Gray Green Green\n\n\nExample 2\nInput:\nBrown Black Black Black Pink Black Black\nPink Purple Black Red Pink Black Black\nYellow Purple Black Green Gray Black Pink\nBlue Pink Gray Pink Pink Black Red\nGray Blue Green Purple Brown Purple Yellow\n\nOutput:\nBrown Pink Yellow Blue Gray Purple Purple Pink Blue Gray Green Red Green Pink Purple Pink Pink Gray Pink Brown Purple Pink Red Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nGreen Black Black Black Black\nRed Black Black Black Black\nOrange Black Yellow Black Black\nBrown Black Pink Black Black\nYellow Black Red Black Black\nYellow Black Blue Black Black\nBrown Black Gray Black Yellow\nPink Black Orange Black Yellow\nBrown Blue Orange Black Blue\nBlue Orange Blue Black Red\nOrange Pink Brown Brown Gray\n\nOutput:\nGreen Red Orange Brown Yellow Yellow Brown Pink Brown Blue Orange Blue Orange Pink Yellow Pink Red Blue Gray Orange Orange Blue Brown Brown Yellow Yellow Blue Red Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black\nPurple Black Black Black Black Purple Black\nGray Black Black Gray Blue Blue Pink\nRed Pink Black Green Blue Pink Pink\nPink Green Black Gray Red Red Gray\nPink Brown Orange Red Blue Orange Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Gray Red Pink Pink Pink Green Brown Orange Gray Green Gray Red Blue Blue Red Blue Orange Purple Blue Pink Red Orange Pink Pink Gray 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\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 Brown Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Brown Brown Brown\nBlack Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Brown Brown Brown\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\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 Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Green Black Black Black Yellow Yellow Yellow Black Black Black Green Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Red 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green 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 Red\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Green Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Red Black Black Black Black Black\nBlack Black Black Yellow Yellow Red Black Black Black Black Black Black\nBlack Black Black Yellow Red 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 Black Black\nBlack Black Black Black Green 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 Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Red Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Red Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Red Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Green Black Yellow Red Yellow Black Green Black Black Black\nBlack Black Black Black Black Black Red Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack 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\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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\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 Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black 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 Purple Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black 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 Brown Black\nRed Red Brown Brown Black\nBlack Red Yellow Green Black\nBlack Yellow Yellow Green Purple\n\nOutput:\nBlack Black Black Brown Black\nRed Red Brown Brown Yellow\nBlack Red Yellow Green Yellow\nBlack Yellow Yellow Green Green\nBlack Black Black Black Purple\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Pink Purple Black\nPink Pink Pink Yellow\nPink Pink Purple Purple\nGreen Green Green Green\nGreen Green Black Black\n\nOutput:\nBlack Pink Purple Black\nPink Pink Pink Yellow\nPink Pink Purple Purple\nGreen Green Green Green\nGreen Green Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\n\n\nExample 3\nInput:\nPurple Gray Black Black Black\nBlack Gray Black Purple Purple\nBlack Gray Orange Green Blue\nRed Orange Red Red Purple\nRed Gray Pink Orange Black\n\nOutput:\nPurple Gray Black Black Black\nBlack Gray Black Purple Purple\nBlack Gray Orange Green Blue\nRed Orange Red Red Purple\nRed Gray Pink Orange Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Blue\nBlack Orange Blue\nBlue Blue 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 Blue Blue\nBlack Orange Blue\nBlue Blue Yellow\nBlack Black 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 Red Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Red Pink Black\nBlack Black Black Black Black Black Black Green Red Pink\nBlack Black Black Purple Purple Purple Black Green Green Red\nBlack Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Brown Black Black Black Black\nBlack Black Purple Purple Brown 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\n\nOutput:\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Red Pink Black\nBlack Black Black Black Black Black Black Green Red Pink\nBlack Black Black Purple Purple Purple Black Green Green Red\nBlack Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Brown Black Black Black Black\nBlack Black Purple Purple Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Brown Black Black Black Black Pink Green\nBlack Black Brown Brown Brown Black Pink Pink Pink Red\nBlack Black Black Brown Black Black Pink Green Red Pink\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Purple Purple Black\nBlack Black Black Red Green Black Black Purple Purple Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Brown Black Black Black Black Pink Green\nBlack Black Brown Brown Brown Black Pink Pink Pink Red\nBlack Black Black Brown Black Black Pink Green Red Pink\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Yellow Yellow Black\nBlack Black Black Red Green Black Black Yellow Yellow Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Red Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Red Black Green Green Green Brown\nBlack Black Red Red Red Black Black Black Blue Brown\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Green Green\nBlack Black Black Black Black Black Black Green Purple Green\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Red Black Green Green Green Green\nBlack Black Red Red Red Black Black Black Blue Green\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Green Green\nBlack Black Black Black Black Black Black Green Purple Green\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Red Black Black Black Black Black\nRed Red Green Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Red Black\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Black Blue Green Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Red Red Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Red Black Black Black Black Black\nRed Red Green Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Black Red Black\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Black Blue Green Black Black Black Blue Red\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red 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\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack 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 Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack 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 Brown Brown Brown Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Orange Orange Orange Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Red Blue Red Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Yellow Blue Yellow Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Blue Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Gray Black Black\nBlack 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 Gray Gray Brown Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Purple Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Gray Gray Gray Purple Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Purple Black Purple Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Purple Black Purple Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Blue Blue Blue Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Blue Gray Blue Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nOrange Orange Black Orange Orange Black Black Black Black Black\nGray Orange Orange Orange Gray Black Black Black Black Black\nGray Red Blue Red Gray Black Black Black Black Black\nRed Yellow Blue Yellow Red Black Black Black Black Black\nYellow Yellow Blue Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Gray\nBlack Black Black Black Black Black Black Brown Brown Gray\nBlack Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Gray Gray Brown Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Purple\nBlack Black Black Black Black Blue Blue Blue Blue Purple\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Blue Blue Black Black Blue Blue Blue Blue Purple\nBlue Blue Blue Blue Black Black Gray Gray Gray Purple\nBlack Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Gray Purple Black Purple Gray Black\nBlack Black Black Black Pink Purple Black Purple Pink Black\nBlack Black Black Black Yellow Blue Blue Blue Yellow Black\nBlack Black Black Black Orange Blue Gray Blue Orange Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Purple Purple Pink Black Black\nBlack Black Black Black Gray Yellow Yellow Gray Black Black Red Black Red Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Red Brown Red Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Blue Brown Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Gray Yellow Yellow Gray Black Black Brown Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Purple Purple Pink\nBlack Gray Yellow Yellow Gray Black Black Red Black Red Black Black Purple Purple Black\nBlack Black Blue Blue Black Black Black Red Brown Red Black Black Purple Purple Black\nBlack Black Blue Blue Black Black Black Blue Brown Blue Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Gray Yellow Yellow Gray Black Black Brown Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Gray Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 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 Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Yellow Orange Yellow Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Purple Gray Purple Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Pink Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Pink Brown 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 Orange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Red Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Red Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Yellow Orange Yellow Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Purple Gray Purple Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Pink Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Black Pink Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Red Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Red Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Brown Brown 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\nBlack Black Black Black Black Black Black Black Black Pink Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Gray Gray Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack 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 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Pink Black Black Pink Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Brown Black Black Brown Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Pink 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 Blue Blue\nBlack Black Black Black Black Black Black Gray Gray Yellow\nBlack Black Black Black Black Blue Black Gray Gray Yellow\nBlack Black Black Black Blue Blue Black Black Blue Blue\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Yellow Pink 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\nBlue Blue Blue Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Pink Black\nBlack 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 Yellow Gray Gray Gray Gray\nGray Gray Gray Gray Yellow Purple Yellow Gray Gray Gray\nGray Gray Gray Yellow Purple Pink Purple Yellow Gray Gray\nGray Gray Gray Gray Yellow Purple Yellow Gray Gray Gray\nGray Gray Gray Gray Gray Yellow 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\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Yellow Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\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 Yellow Gray Gray Gray Gray\nGray Gray Gray Gray Yellow Purple Yellow Gray Gray Gray\nGray Gray Gray Yellow Purple Yellow Purple Yellow Gray Gray\nGray Gray Gray Gray Yellow Purple Yellow Gray Gray Gray\nGray Gray Gray Gray Gray Yellow 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\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Brown\nBlack Black Black Black Black\nBlack 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 Yellow Gray Gray Gray Gray\nGray Gray Gray Gray Yellow Purple Yellow Gray Gray Gray\nGray Gray Gray Yellow Purple Brown Purple Yellow Gray Gray\nGray Gray Gray Gray Yellow Purple Yellow Gray Gray Gray\nGray Gray Gray Gray Gray Yellow 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\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray 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 Yellow Gray Gray Gray Gray\nGray Gray Gray Gray Yellow Purple Yellow Gray Gray Gray\nGray Gray Gray Yellow Purple Pink Purple Yellow Gray Gray\nGray Gray Gray Gray Yellow Purple Yellow Gray Gray Gray\nGray Gray Gray Gray Gray Yellow 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```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and 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 Green\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Green Black\nGreen Black Black Black Black Blue Black Black\nBlack Black Black Black Green Black Black Black\nBlack Black Red Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nRed Red Black Black Black Black Blue Blue\nRed Red Black Black Black Black Blue Blue\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 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Black Black Black Black Black Black Blue Blue\nRed Red Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack 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 Green\nBlue Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black\nBlack Black Black Green Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Blue Black\n\nOutput:\nRed Red Black Black Black Black Black Blue Blue\nRed Red Black Black Black Black Black Blue Blue\nBlack Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Black Black Black Green Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Black Black Black Black Black Blue Blue\nRed Red Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Gray\nBlack Black 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 Black Black Black Black Black Orange Black\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 Yellow\nBlack Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Gray\nBlack Black 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 Black Black Black Black Black Orange Black\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 Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple 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 Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink 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 Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink 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:\nRed Red Red Black Black\nBlack Red Red Black Green\nBlack Black Red Red Black\nBlack Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Black Black Red Red\nBlack Black Green Green Green Green Black Black Red Red\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\n\n\nExample 2\nInput:\nBlack Black Black Black\nGreen Black Black Red\nBlack Red Black Red\nBlack Black Green Black\nRed Red Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nRed Red Black Black Black Black Green Green\nRed Red Black Black Black Black Green Green\nBlack Black Green Green Black Black Green Green\nBlack Black Green Green Black Black Green Green\nBlack Black Black Black Red Red Black Black\nBlack Black Black Black Red Red Black Black\nGreen Green Green Green Black Black Black Black\nGreen Green Green Green Black Black Black Black\n\n\nExample 3\nInput:\nGreen Black Green Red Green\nRed Red Black Black Green\nBlack Green Black Black Red\nBlack Black Red Green Green\nBlack Red Green Black Black\n\nOutput:\nRed Red Black Black Red Red Green Green Red Red\nRed Red Black Black Red Red Green Green Red Red\nGreen Green Green Green Black Black Black Black Red Red\nGreen Green Green Green Black Black Black Black Red Red\nBlack Black Red Red Black Black Black Black Green Green\nBlack Black Red Red Black Black Black Black Green Green\nBlack Black Black Black Green Green Red Red Red Red\nBlack Black Black Black Green Green Red Red Red Red\nBlack Black Green Green Red Red Black Black Black Black\nBlack Black Green Green Red Red Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Black Green\nGreen Black Black\nRed Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Black Black Red Red\nRed Red Black Black Red Red\nRed Red Black Black Black Black\nRed Red Black Black Black Black\nGreen Green Black Black Black Black\nGreen Green Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black 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 Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Red Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red 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 Pink Pink Pink Pink Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red 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 Pink Pink Pink Pink Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Orange Orange Orange Orange\nBlack Black Black Black Black Gray Black Gray Black Black Black Black Gray Gray Gray Gray Black Orange Orange Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Orange Orange Orange Orange\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple\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 Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Orange Orange Orange Orange\nBlack Black Black Black Black Gray Black Gray Black Black Black Black Gray Gray Gray Gray Black Orange Orange Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Gray Gray Gray Gray Orange Orange Orange Orange\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Red 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 Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\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 Green Green Black Black Black\nBlack Black Blue Black Blue Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Blue Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black\nBlack Black Blue Black Blue Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Blue Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black Black Gray Black Gray Black Gray\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Black Gray Black Gray Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black Black Gray Black Gray Black Gray\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Black Gray Black Gray Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Green Blue Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Green Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Blue Brown Black Black\nBlack Black Black Black Black Black Black Black Pink Blue Red Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Pink Blue Red Black Black\nBlack Black Black Black Black Black Black Pink Pink Blue Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Gray Yellow Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Purple Purple Red Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Red Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Green Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Brown Brown Green Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Purple Pink Black Black Black\nBlack Black Black Black Black Black Black Black Orange Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Purple Pink Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Brown Brown Green Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Green Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Red Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Pink Pink Purple Black Black Black Black\nBlack Black Black Black Blue Blue Orange Purple Black Black Black Black\nBlack Black Black Black Purple Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Brown Gray Black Black Black Black Black Black\nBlack Black Black Black Red Red Yellow Brown Black Black Black Black\nBlack Black Black Black Gray Orange Orange Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Orange Orange Brown Black Black Black Black\nBlack Black Black Black Red Red Yellow Brown Black Black Black Black\nBlack Black Black Black Brown Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray 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 Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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\nGray Gray Gray\nGray 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 Purple Purple Purple Black\nBlack Purple Black Purple Black\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Black Purple Black Black Black Black Black Black\nPink Pink Pink Pink Pink Black Black Black Black Black\nPink Pink Pink Pink Pink Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Black Purple Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Red Red Red Black Black\nBlue Blue Blue Red Black Black\nBlue Black Blue Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nRed Red Red Red Black Black Black Black Black Black Black Black\nBlue Blue Blue Red Black Black Black Black Black Black Black Black\nBlue Black Blue Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black\nBlue Blue Blue Red 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 Red Red Red Red Black\nBlack Red Black Black Red Black\nBlack 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 Red Red Red Red Black Black Black Black Black Black Black\nBlack Red Black Black Red Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Gray Black\nBrown Brown Brown Black\nBrown Black Brown Black\nBlack Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Gray Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black\nBrown Black Brown Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Green Green Black Black Black Gray Black Gray Black Black\nBlack Black Black Purple Purple Purple Purple Black Green Green Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink 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\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Brown Brown Black Black\nBlack 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Pink Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Pink Black Pink Pink 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 Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black Black Yellow Black Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Black Green Green 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 Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Red Black Black Black Black Black Black Black Black Black\nBlack 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 Red Black Red Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Yellow Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Green Green Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black 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 Black\nBlack Black Black Black Red Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Purple Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Red 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 Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Gray Black Gray Black Black Black Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Gray Gray Gray Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Gray Black Gray Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Green Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Green Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Yellow 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 Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Yellow Black Yellow Black Black Black Green Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Yellow Black Yellow Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Brown Black Pink Pink Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Yellow Yellow Yellow Yellow Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Black Green Green Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Yellow Yellow Yellow Yellow Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Black Orange Orange Orange Brown Brown Brown Brown Gray Gray Gray\nBlack Black Red Red Red Black Orange Orange Orange Brown Brown Brown Brown Gray Gray Gray\nBlack Black Red Red Red Black Orange Orange Orange Brown Brown Brown Brown Gray Gray Gray\nGray Gray Gray Blue Blue Blue Blue Black Black Brown Brown Brown Brown Orange Orange Orange\nGray Gray Gray Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange\nGray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Black Black Orange Orange Orange\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Blue Blue Blue Blue Black Pink Pink Pink Pink\nBlack Black Pink Pink Pink Brown Brown Brown Black Gray Gray Gray Pink Pink Pink Pink\nBlack Black Black Black Black Brown Brown Brown Black Gray Gray Gray Pink Pink Pink Pink\nBlack Black Black Black Black Brown Brown Brown Black Gray Gray Gray Pink Pink Pink Pink\n\nOutput:\nBlack Black Red Red Red Black Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown\nBlack Black Red Red Red Black Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown\nBlack Black Red Red Red Black Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Blue Blue Blue Blue Black Black Brown Brown Brown Brown Orange Orange Orange\nBrown Brown Brown Blue Blue Blue Blue Black Black Black Black Black Black Orange Orange Orange\nBrown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Black Black Orange Orange Orange\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Blue Blue Blue Blue Black Pink Pink Pink Pink\nBlack Black Pink Pink Pink Brown Brown Brown Black Brown Brown Brown Pink Pink Pink Pink\nBlack Black Black Black Black Brown Brown Brown Black Brown Brown Brown Pink Pink Pink Pink\nBlack Black Black Black Black Brown Brown Brown Black Brown Brown Brown Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Pink Pink Pink Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Pink Pink Pink Black\nBlack Pink Pink Pink Pink Gray Gray Gray Blue Blue Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black Black Black Blue Blue Orange Orange Black Black\nBlack Pink Pink Pink Pink Black Pink Pink Pink Pink Orange Orange Black Black\nBlack Pink Pink Pink Pink Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Black Pink Pink Pink Pink Black Black Black Black\nOrange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black\nOrange Orange Brown Brown Brown Blue Blue Gray Gray Gray Black Brown Brown Brown\nBlack Black Brown Brown Brown Blue Blue Gray Gray Gray Black Brown Brown Brown\nBlack Black Brown Brown Brown Black Black Gray Gray Gray Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Blue Blue Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black Black Black Blue Blue Orange Orange Black Black\nBlack Pink Pink Pink Pink Black Pink Pink Pink Pink Orange Orange Black Black\nBlack Pink Pink Pink Pink Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Black Pink Pink Pink Pink Black Black Black Black\nOrange Orange Pink Pink Pink Black Black Black Black Black Black Black Black Black\nOrange Orange Brown Brown Brown Blue Blue Pink Pink Pink Black Brown Brown Brown\nBlack Black Brown Brown Brown Blue Blue Pink Pink Pink Black Brown Brown Brown\nBlack Black Brown Brown Brown Black Black Pink Pink Pink Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Brown Brown Black Black Black\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Brown Brown Gray Gray Gray\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black Black Gray Gray Gray\nBlack Red Red Black Yellow Yellow Yellow Yellow Black Black Black Gray Gray Gray\nBlack Red Red Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Brown Brown Brown Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Yellow Yellow Yellow Yellow Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Yellow Yellow Yellow Yellow Black Black Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Black Brown Brown Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Black Brown Brown Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Brown Brown Black Black Black\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Brown Brown Brown Brown Brown\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black Black Brown Brown Brown\nBlack Red Red Black Yellow Yellow Yellow Yellow Black Black Black Brown Brown Brown\nBlack Red Red Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Brown Brown Brown Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Brown Brown Brown Brown Brown Brown Black\nBlack Yellow Yellow Yellow Yellow Black Black Brown Brown Brown Brown Brown Brown Black\nBlack Yellow Yellow Yellow Yellow Black Black Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Black Black\nBlack Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Black Black\nBlack Brown Brown Brown 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 Gray Gray Gray Green Green Green Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Green Green Green Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Gray Gray Gray Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Gray Gray Gray Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Green Green Green Black Pink Pink Gray Gray Gray Black Black Black\nBlack Black Black Green Green Green Black Pink Pink Gray Gray Gray Black Black Black\nGray Gray Gray Green Green Green Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Green Green Green Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Green Green Green Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Pink Pink Green Green Green Black Black Black\nBlack Black Black Green Green Green Black Pink Pink Green Green Green Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Yellow Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Green Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\nGreen Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Gray Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Purple Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Blue Black Black Brown Blue Brown\nBlack Black Red Red Red Yellow Black Black Black Black Black Black Black Black Black Brown Black\nBlack Red Red Brown Yellow Yellow Black Black Brown Pink Pink Brown Brown Black Black Black Black\nBlack Red Brown Brown Green Green Black Black Blue Blue Blue Green Green Black Black Black Black\nBlack Red Yellow Green Black Purple Black Black Blue Blue Blue Green Green Black Black Black Black\nBlack Yellow Yellow Green Purple Black Black Black Brown Pink Pink Brown Brown 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 Gray Blue Black Gray Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Gray Black Blue Gray 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 Blue Blue Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Blue Black Black Brown Blue Brown\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Brown Black\nBlack Yellow Yellow Brown Yellow Yellow Black Black Brown Pink Pink Brown Brown Black Black Black Black\nBlack Yellow Brown Brown Green Green Black Black Yellow Yellow Yellow Green Green Black Black Black Black\nBlack Yellow Yellow Green Black Purple Black Black Yellow Yellow Yellow Green Green Black Black Black Black\nBlack Yellow Yellow Green Purple Black Black Black Brown Pink Pink Brown Brown 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 Gray Yellow Black Gray Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Gray Black Yellow Gray Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Purple Pink Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Purple Purple Purple Purple Black Blue Black Black\nBlack Pink Pink Pink Pink Black Pink Purple Blue Purple Pink Black Black Black Black\nBlack Pink Pink Pink Pink Black Purple Purple Purple Purple Black Black Black Blue Black\nBlack Black Pink Pink Black Black Black Black Pink Purple Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Blue Blue Black Purple Black Black Black Purple Black Black Black\nBlack Black Black Black Purple Purple Black Yellow Gray Black Gray Yellow Black Black Black\nBlack Black Blue Black Purple Purple Black Red Gray Gray Gray Red Black Black Black\nBlack Black Black Black Blue Blue Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Yellow Pink Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Black Blue Black Black\nBlack Yellow Yellow Yellow Yellow Black Pink Yellow Blue Yellow Pink Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black Black Blue Black\nBlack Black Yellow Yellow Black Black Black Black Pink Yellow Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Blue Blue Black Purple Black Black Black Purple Black Black Black\nBlack Black Black Black Purple Purple Black Yellow Yellow Black Yellow Yellow Black Black Black\nBlack Black Blue Black Purple Purple Black Red Yellow Yellow Yellow Red Black Black Black\nBlack Black Black Black Blue Blue Black Yellow Yellow Yellow Yellow Yellow 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 Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Orange Red Red Red Red\nBlack Black Black Black Black Black Black Orange Orange Black Black Red Blue Blue Red Gray\nBlack Black Yellow Yellow Black Black Black Orange Orange Black Black Red Blue Blue Blue Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Red Red Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Gray Black Black Black\nBlack Black Black Orange Blue Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Green Red Black Pink Brown Pink Brown Black Black Black Black Black Black\nBlack Black Black Green Red Black Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Orange Blue Black Black Brown Pink Brown Pink Black Blue Black Black Black\nBlack Black 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 Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Orange Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Orange Orange Black Black Yellow Yellow Yellow Yellow Gray\nBlack Black Yellow Yellow Black Black Black Orange Orange Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Gray Black Black Black\nBlack Black Black Orange Blue Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Green Red Black Yellow Brown Yellow Brown Black Black Black Black Black Black\nBlack Black Black Green Red Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Orange Blue Black Black Brown Yellow Brown Yellow Black Blue Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Red Blue Blue Black Black Black Black Brown Brown Black Black\nBlue Black Black Red Red Red Blue Black Black Black Pink Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black\nRed Red Black Red Red Red Blue Black Black Blue Blue Blue Blue Black\nBlue Blue Black Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Blue Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Yellow Black\nBlack Black Black Gray Yellow Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Purple Brown Black Black Black Black Black Black Black Black Black\nBlack Gray Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Yellow Brown Purple Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Yellow Blue Blue Black Black Black Black Brown Brown Black Black\nBlue Black Black Yellow Yellow Yellow Blue Black Black Black Pink Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nRed Red Black Yellow Yellow Yellow Blue Black Black Blue Blue Blue Blue Black\nBlue Blue Black Yellow Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Blue Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Yellow Black\nBlack Black Black Gray Yellow Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Yellow Brown Black Black Black Black Black Black Black Black Black\nBlack Gray Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Brown Yellow Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |