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{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlue Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Black Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue 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 Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Red Blue Blue Blue Black Black Black Black\nBlue Black Black Black Blue Red Blue Blue Blue Black Black Black Black\nBlue Blue Blue Black Blue Blue Black Black Black Black Black Black Black\nBlue Red Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Red Red Red Red Blue\nBlack Black Black Black Black Black Black Black Blue Red Red Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Blue Black Black\nBlack Black Blue Blue Blue Black Black Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Black Blue Black\nBlack Black Black Black Black Black Black Blue Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Red Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Blue Black Black\nBlack Black Blue Red Blue Black Black Blue Blue Red Blue Blue\nBlack Black Blue Blue Blue Black Black Blue Red Blue Red Blue\nBlack Black Black Black Black Black Black Black Blue Black Blue Black\nBlack Black Black Black Black Black Black Blue Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Blue Black Black\nBlue Blue Black Black Blue Blue Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Blue Black Black Black Black Black\n\nOutput:\nBlue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlue Red Blue Blue Red Blue Black Black Black Black Black Black\nBlack Blue Red Red Blue Black Black Black Black Black Black Black\nBlack Blue Red Red Blue Black Black Black Black Black Black Black\nBlue Red Blue Blue Red Blue Black Black Black Blue Black Black\nBlue Blue Black Black Blue Blue Black Black Blue Red Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Red Red Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Blue Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Blue Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Red Red Blue\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 Blue Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Blue 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 Blue\nBlack Black Black Black Black Black Black Black Black Black\nPurple Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBrown Black Orange Black Brown Black Black Black Black Black\nBrown Brown Green Brown Brown Black Black Black Black Black\nBrown Brown Brown Brown Brown Yellow Black Black Black Black\nBrown Brown Black Brown Brown Black Black Black Black Black\nBrown Black Black Black Brown Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nPurple Green Black Black Black Black Black Black Black Black\nBlue Black Black Black Blue Black Black Black Black Black\nBrown Black Orange Black Brown Black Black Black Black Black\nBrown Brown Green Brown Brown Black Black Black Black Black\nBrown Brown Brown Brown Brown Yellow Black Black Black Black\nBrown Brown Black Brown Brown Black Black Black Black Black\nBrown Black Black Black Brown Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Blue Black Black Green Black Green Black Black Black\nBlack Black Black Black Green Black Green Orange Black Black\nBlack Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Green Black Green Gray Black Black\nBlack Black Black Black Green Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Red Black Black Black\n\nOutput:\nBlack Blue Black Black Green Black Green Black Black Black\nBlack Black Black Orange Green Black Green Orange Black Black\nBlack Black Black Green Green Green Green Green Black Black\nBlack Black Black Gray Green Black Green Gray Black Black\nBlack Black Black Black Green Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Red Black Black Black\n\n\nExample 3\nInput:\nBlack Orange 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 Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Pink Black\nBlack Black Black Black Gray Gray Gray Gray Black Yellow\nBlack Black Black Black Gray Black Black Gray Black Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Pink Black\n\nOutput:\nBlack Orange 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 Gray Black Black\nBlack Black Black Pink Gray Gray Gray Gray Pink Black\nBlack Black Black Pink Gray Gray Gray Gray Pink Yellow\nBlack Black Black Black Gray Black Black Gray Black Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Pink Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Red Black Red Black Red Black Red Black\nBlack Orange Black Black Red Red Red Red Red Black\nBlack Purple Black Black Red Red Black Red Red Black\nBlack Green Black Black Red Red Red Red Red Green\nBlack Black Black Black Red Black Red Black 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 Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Yellow Black\nBlack Black Red Black Red Black Red Black Red Black\nBlack Orange Black Black Red Red Red Red Red Black\nBlack Purple Black Black Red Red Black Red Red Black\nBlack Green Black Green Red Red Red Red Red Green\nBlack Black Black Black Red Black Red Black Red Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\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 Gray Gray Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nPink Pink Pink Pink Black Black Blue Gray Gray Gray Gray Gray Black Black Black Black Black\nPink Pink Pink Pink Black Black Blue Gray Gray Gray Gray Gray Black Black Black Black Black\nPink Pink Pink Pink Black Black Blue Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Brown Brown Brown Brown Red Red Red Black Black Black\nPink Pink Pink Black Black Black Black Brown Brown Brown Brown Red Red Red Black Black Black\nPink Pink Pink Black Black Black Black Brown Brown Brown Brown Red Red Red 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 Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Yellow Gray Gray Gray Gray Gray Black Black Black Black\nPink Pink Black Black Black Yellow Gray Gray Gray Gray Gray Black Black Black Black\nPink Pink Black Black Black Yellow Gray Gray Gray Gray Gray Green Green Green Green\nBlack Black Black Black Black Yellow Gray Gray Gray Gray Gray Green Green Green Green\nBlack 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 Green Green Green Green\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 Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nGray Gray Gray Black Black Black Black Black Black Black Black Red Red Red Red Black\nGray Gray Gray Black Black Black Black Black Black Black Black Red Red Red Red Black\nGray Gray Gray Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Pink Pink Pink Black Pink Pink Pink Black Black Red Red Red Red Black\nBlack Black Pink Pink Pink Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Blue Blue Blue Black Black Black\nBlack Black Black Black Black Green Green Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Green Green Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Pink Pink Black\nRed Red Black Black Black Black Black Black Black Black Black Pink Pink Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Green Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Green Green Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack 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\nBlack 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\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Black Gray Black Black Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Black Gray Black Black Gray Black Black Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown 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 Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Green Gray Black Black Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Green Gray Black Black Gray Brown Brown Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\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 Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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 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 Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Gray Gray Gray Black Gray Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Red Red Red Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Red Red Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Green Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Blue Blue Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Blue Black Blue Blue Black Blue Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Blue Blue Blue Blue Red Black\nBlack Black Black Black Black Red Red Red Red Black Black Red Red Blue Blue Blue Red Black\nBlack Black Black Black Black Red Blue Blue Red Black Black Black Black Red Blue Blue Red Black\nBlack Black Black Black Black Red Blue Blue Red Black Black Red Red Blue Blue Blue Red Black\nBlack Black Black Black Red Blue Blue Blue Blue Red Black Red Blue Blue Blue Blue Red Black\nBlack Black Black Black Black Red Red Red Red Black Black Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Red Red Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Blue Blue Red Red Black Black Black Black Black Black Red Red Red Black\nBlack Black Red Black Red Red Black Red Black Black Black Black Black Red Blue Blue Blue Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Blue Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Blue Blue Blue Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Blue Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Blue Blue Blue Red\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Black Black Blue Blue Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Black\nBlue Blue Black Black Blue Blue Black Black Black Black Black Black Black Blue Blue Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Red Blue Blue Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Blue Blue Red Black Black Black Black Black\nRed Red Red Red Red Red Black Red Red Red Red Black Black Black Black Black\nRed Blue Black Black Blue Red Black Black Black Black Black Black Black Red Red Red\nRed Blue Blue Blue Blue Red Black Black Black Black Black Black Black Red Blue Red\nRed Blue Blue Blue Blue Red Black Black Black Black Black Black Red Blue Blue Red\nRed Blue Blue Blue Blue Red Black Black Black Black Black Black Black Red Red Black\nRed Blue Black Black Blue Red Black Black Black Black Black Black Black Red Red Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Blue Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Black Blue Black\nBlack Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Blue Black Blue Black Black Black Black Blue Black Blue Blue Black Blue Black\nBlack Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black\n\nOutput:\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Red Blue Blue Red Black Black Black Black Black Black Red Red Black\nBlack Red Blue Blue Blue Blue Red Black Black Black Black Red Blue Red Black\nBlack Red Blue Blue Blue Blue Red Black Black Black Black Red Blue Red Black\nBlack Black Red Blue Blue Red Black Black Black Black Black Red Red Red Black\nBlack Black Red Red Red Red Black Black Black Black Black Red Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Red Red Red Black Red Red Red Red Red Red Red Black Red Black\nBlack Red Blue Red Black Red Blue Blue Blue Blue Blue Red Black Black Black\nBlack Red Blue Red Black Red Red Red Red Red Red Red Black Black Black\nBlack Red Blue Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Blue Red Black Black Black Black Red Red Red Red Red Red Black\nBlack Red Black Red Black Black Black Black Red Black Blue Blue Black Red Black\nBlack Red Red Red Black Black Black Black Red Red Red Red Red Red Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black\nBlack Black Red Blue Blue Blue Blue Red Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black\nBlack 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 Red Blue Blue Red Black Black Black Black Black\nBlack Black Red Blue Blue Red Black Black Black Black Black\nBlack Black Red Blue Blue Red Black Black Black Black Black\nBlack Black Red Blue Blue Red Black Black Black Black Black\nBlack Black Red Blue Blue 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 Red Red Red Red Red Red Black Black\nBlack Black Black Red Blue Blue Blue Red Red Black Black\nBlack Black Black Red Blue Blue Red Black Black Black Black\nBlack Black Black Red Blue Blue Red Black Black Black Black\nBlack Black Black Red Blue Blue Blue Red Red Black Black\nBlack Black Black Red Red Red Red Red Red Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Gray 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 Gray Gray Brown Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Brown Brown Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Gray Gray Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Brown Brown Purple Purple Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Brown Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Blue Blue Purple Black Black Black Black Black Black\nBlack Black Black Black Black Purple Blue Blue Purple Black Black Black Black Black Black\nBlack Black Black Black Black Purple Blue Blue Purple Black Black Black Black Black Black\nBlack Black Black Black Black Purple Blue Blue Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black\nPurple Purple Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black\nPurple Purple Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black\nPurple Purple Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black\nPurple Purple Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black\nPurple Purple Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black\nPurple Purple Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black\nPurple Purple Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Blue Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Blue Blue Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Blue Blue Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nGray Orange Orange Gray Gray Orange Orange Gray Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow\nOrange Orange Orange Orange\nGray Orange Orange Gray\nYellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nOrange Gray Orange Orange Gray Orange Orange Gray Orange Orange Gray Orange\nPink Yellow Black Black Black Black Pink Yellow Pink Pink Yellow Pink\nGreen Yellow Black Black Black Black Green Yellow Green Green Yellow Green\nPink Gray Pink Pink Gray Pink Pink Gray Pink Pink Gray Pink\nOrange Gray Orange Orange Gray Orange Orange Gray Orange Orange Gray Orange\nPink Yellow Pink Pink Yellow Pink Pink Yellow Pink Pink Yellow Pink\nGreen Yellow Green Green Yellow Green Green Yellow Green Green Yellow Green\nPink Gray Pink Pink Gray Pink Pink Gray Pink Pink Gray Pink\nOrange Gray Orange Orange Gray Orange Orange Gray Orange Orange Gray Orange\nPink Yellow Pink Pink Yellow Pink Pink Yellow Pink Pink Yellow Pink\nGreen Yellow Green Green Yellow Green Green Yellow Green Green Yellow Green\nPink Gray Pink Pink Gray Pink Pink Gray Pink Pink Gray Pink\nOrange Gray Orange Orange Gray Orange Orange Gray Orange Orange Gray Orange\nPink Yellow Pink Pink Yellow Pink Pink Yellow Pink Pink Yellow Pink\nGreen Yellow Green Green Yellow Green Green Yellow Green Green Yellow Green\nPink Gray Pink Pink Gray Pink Pink Gray Pink Pink Gray Pink\n\nOutput:\nPink Pink Yellow Pink\nGreen Green Yellow Green\n\n\nExample 3\nInput:\nPink Gray Purple Purple Pink Gray Purple Purple\nPink Gray Green Blue Pink Black Black Black\nRed Orange Red Purple Red Black Black Black\nRed Pink Pink Orange Red Black Black Black\nPink Gray Purple Purple Pink Black Black Black\nPink Gray Green Blue Pink Gray Green Blue\nRed Orange Red Purple Red Orange Red Purple\nRed Pink Pink Orange Red Pink Pink Orange\n\nOutput:\nGray Green Blue\nOrange Red Purple\nPink Pink Orange\nGray Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue\nBlue Blue Black Black Black Blue\nBlue Blue 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```\nBlue Blue Blue\nBlue 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\nGray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Black Gray Black Black Black Black Gray Gray Black\nBlack Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black\nBlack Black Orange Black Black Black Black Orange Orange Black\nBlack Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Orange Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Gray Gray Gray Black Black Gray Gray Gray\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black\nBlack Gray Black Black Black Black Black Gray Gray Black\nGray Gray Gray Black Black Black Black Black Black Black\nBlack Gray 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 Yellow Black Orange Orange Black\nBlack Black Black Black Black Black Black Orange Orange Orange\nBlack Black Orange Orange Orange Black Black Orange Orange Orange\nBlack Black Orange Orange Orange Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black\nBlack Orange Black Black Black Black Black Orange Orange Black\nOrange Orange Orange Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Gray Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black\nGray Gray Black Black Gray Gray Gray Black Black Black\nGray Gray 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 Gray Black\n\nOutput:\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Yellow Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black\nOrange Orange Black Black Orange Orange Orange Black Black Black\nOrange Orange Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow 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 Gray Gray Black Black Gray Gray\nBlack Black Black Black Gray Gray Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black 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 Orange Orange Black Black Orange Orange\nBlack Black Black Black Orange Orange Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red 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 Red Red 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 Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Red Red Red Red Red Red 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 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red 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 Red Red 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 Red Red 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 Red Red 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 Red Red 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 Red Red 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 Red Red 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 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red 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 Red 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 Red 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 Red 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 Red 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 Red 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 Red 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 Red 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 Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow 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 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 Yellow Yellow 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow 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 Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nDirectly provide the output grids corresponding to the given test input grids, based on 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\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 Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Green Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Green Red\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 Green Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Red\nBlack Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Green Red\nBlack Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue 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 Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Green Green Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Green Green Yellow Yellow Yellow Black Black Red Black Black Black Black Green Black Black Black\nBlack Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Green Black Black Black Black Black\nBlack Green Green Yellow Yellow Yellow Yellow Yellow Yellow Green Green Black Black Black Black Black Black\nBlack Green Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Blue Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Red Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nGreen Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack 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\nBlack Black Red Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue 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 Blue Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Red Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nGreen Yellow Yellow Yellow Yellow Yellow Green Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Green Black Green Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Green Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Green Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Pink Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Red Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Green Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Red Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Red Black Black Black Black Green Black Black Red Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Blue Black\n\nOutput:\nBlack Black Black Red Red Red Red Red Red Red Red Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Pink Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Red Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Green Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlue Black Black Black Black Black Red Black Yellow Black Yellow Yellow Yellow Yellow\nBlack Black Black Red Black Black Black Black Yellow Black Black Red Black Black\nBlack Black Black Black Black Red Black Black Yellow Yellow Yellow Yellow Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Red Black Black\nPink Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Blue Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Pink Pink Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Black Black Black Black Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Black Green Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Pink Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Blue Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Blue Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Blue Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Red Blue Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Black Gray Blue Black Black Black Black Black\nBlack Black Black Black Black Brown Red Red Blue Black Black Black Black Black\nBlack Black Black Black Black Black Brown Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Gray Blue Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Blue Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Green Yellow Green Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Gray Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Green Orange Green 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\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 Gray Gray Gray Yellow Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Gray Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Gray Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Gray Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Orange Gray 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Pink Green Green Blue Pink Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Gray Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Green Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Gray Gray Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Gray Purple Black Black Black Black Black Black\nBlack Black Black Black Black Purple Green Yellow Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\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 Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\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 Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black 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 Black\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\nDirectly provide the output grids corresponding to the given test input grids, based on 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\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 Red 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 Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Red Red 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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\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```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Brown Black Brown 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 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 Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Red Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Blue 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 Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Red 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow 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 Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\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 Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nRed Red Red Red Red Red Red Red Red Red\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nRed Red Red Red Red Red Red Red Red Red\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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```\nRed Red Red Red Red Red Red Red Red Red\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Brown Brown Brown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black 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 Black Black Black Black 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 Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Green Green Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Green Green Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Green Green Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black 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 Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Green Green Green Red Black Black Red Red Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Green Red Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Green Red Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Red Red Red Black Black Brown Brown Brown Orange Orange Orange Orange\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Brown Brown Brown Orange Orange Orange Orange\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Brown Brown Brown Orange Orange Orange Orange\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Brown Brown Brown Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Green Green Green Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Green Green Green Blue Blue Blue Blue Blue Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Red Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Red Red Red Black Black Red Red Red Red Green Green Red\nBlack Black Red Red Red Red Black Black Black Red Green Red Red Green Green Red\nBlack Black Red Green Green Red Black Black Black Red Green Red Red Red Red Red\nBlack Black Red Green Green Red Black Black Black Red Green Red Black Black Black Black\nBlack Black Red Green Green Red Black Black Black Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Red Red Red Black Red Red Red Black\nBlack Black Black Black Black Black Red Green Green Green Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Green Green Red Black Black Black Black Black\nBlack Black Black Red Red Red Red Green Green Green Red Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Blue Blue Blue Black Pink Pink Pink Brown Brown Brown Brown Brown Black Black\nBlack Blue Blue Blue Black Pink Pink Pink Black Black Brown Brown Brown Brown Black\nBlack Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Gray Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Black\nBlack Red Red Red Black Red Red Red Red Green Green Green Green Red Black\nBlack Red Green Red Black Red Red Red Red Green Green Green Green Red Black\nBlack Red Red Red Black Black Black Black Red Green Green Green Green 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\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Green Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Green Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Green Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Black Black 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 Pink Black Black Pink Pink Pink Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Pink Black Black Blue Pink Black Black Black Pink Black\nBlack Black Black Black Pink Black Black Black Black Blue Black Black\nBlack Black Pink Black Black Black Black Pink Black Pink Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black\nPink Black Pink Pink Black Black Pink Black Black Pink Blue Black\nBlack Black Black Black Yellow Black Black Pink Black Black Black Pink\n\nOutput:\nBlack Black Pink Black Black Pink Pink Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black Yellow Black Black\nBlack Black Pink Black Black Yellow Pink Black Black Yellow Pink Black\nBlack Black Black Black Pink Black Black Black Black Yellow Black Black\nBlack Black Pink Black Black Black Black Pink Black Pink Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black\nPink Black Pink Pink Black Black Pink Black Black Pink Yellow Black\nBlack Black Black Black Blue Black Black Pink Black Yellow Black Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Yellow Blue Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Black\nBlack Blue Black Black Black Blue Black Black Blue Blue\nBlue Blue Black Blue Black Black Black Blue Black Black\nBlue Black Black Black Black Black Black Black Blue Black\nBlue Black Blue Black Black Black Blue Black Black Black\nBlue Black Black Blue Black Black Black Blue Blue Black\n\nOutput:\nBlack Black Black Yellow Blue Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Blue Black Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Black\nYellow Yellow Yellow Black Yellow Black Yellow Black Yellow Black\nYellow Black Black Yellow Black Black Black Yellow Yellow Black\n\n\nExample 3\nInput:\nGreen Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Green Black Black Green Black Black Green Black\nBlack Yellow Green Black Black Black Green Black Black Black Black\nBlack Black Black Blue Green Black Green Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Green\nBlack Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Black Black Black Black Black Green Green Black Black Black\nBlack Yellow Black Green Black Black Green Black Black Green Black\nBlack Blue Yellow Black Black Black Green Black Black Black Black\nBlack Black Black Yellow Green Black Green Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Green\nBlack Black Black Black Black Black Green Green Green Green 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 Yellow Gray Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Gray Black Black Black Gray\nBlack Black Black Black Black Black Black Gray Black\nGray Black Blue Black Black Black Black Black Yellow\nBlack Black Gray Black Gray Gray Black Gray Blue\nBlack Gray Black Black Black Gray Black Gray Black\nBlack Black Black Black Black Black Gray Black Black\nBlack Gray Black Gray Black Black Gray Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Blue Yellow Black Black\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black Gray\nBlack Black Black Yellow Black Black Black Gray Black\nGray Black Yellow Black Black Black Black Black Yellow\nBlack Black Gray Black Gray Gray Black Gray Yellow\nBlack Gray Black Black Black Gray Black Gray Black\nBlack Black Black Black Black Black Gray Black Black\nBlack Gray Black Gray Black Black Gray Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Green Green Black Black Black\nBlack Red Red Green Green Black Black Black\nBlack Yellow Yellow Pink Pink Black Black Black\nBlack Yellow Yellow Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black\nBlack Black Black 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 Red Red Green Green Black\nBlack Black Black Red Red Green Green Black\nBlack Black Black Yellow Yellow Pink Pink Black\nBlack Black Black Yellow Yellow Pink Pink Black\nBlack Black Black 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 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Red Red Green Green\nBlack Black Black Black Red Red Green Green\nBlack Black Black Black Yellow Yellow Pink Pink\nBlack Black Black Black Yellow Yellow Pink 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Red Red Green Green Black Black\nBlack Black Red Red Green Green Black Black\nBlack Black Yellow Yellow Pink Pink Black Black\nBlack Black Yellow Yellow Pink Pink Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Blue Green Black Blue Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Blue Blue Blue Blue Green\nBlack 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 Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Blue Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack 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 Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Green Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Green Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Green Black\nGreen Blue Blue Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Black Black Black Black Black Black Black Green Black Black\nGreen Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green 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 Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Blue Black Black\nBlack Black Green Black Black Green Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Green Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Green Black Black Blue Black Blue Blue 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 Green Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 Blue Blue Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Brown Brown\n\nOutput:\nBrown Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\n\n\nExample 2\nInput:\nGreen Green Black Black\nGreen Green Black Black\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nBlack Green Green Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\n\n\nExample 3\nInput:\nBlack Gray Gray Gray\nBlack Gray Gray Gray\nBlack Black Black Black\nBlack Black Black Black\n\nOutput:\nGray Gray Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Red Red\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```\nRed Black Black Black\nBlack Black 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:\nGray Gray Gray Gray Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Gray Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Gray Black Black Black Black Black Black Black Black\nYellow Black Yellow Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Blue Blue Black Black Gray Black Brown Black Gray Green Green Black Black\nBlack Black Blue Black Black Gray Brown Brown Brown Gray Green Black Black Black\nBlack Black Black Black Black Gray Black Brown Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack 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\n\nOutput:\nBlack Blue Blue Black Black Gray Black Gray Black Gray Gray Gray Black Black\nBlack Black Blue Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Green Green Green Gray\nBlack Black Black Black Black Gray Green Black Green Gray\nBlack Black Black Black Black Gray Green Green Black Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlue Blue Black Blue Blue Black Black Black Black Black\nBlue Blue Black Black Blue Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlue Blue Black Blue Blue Black Black Black Black Black\nBlue Blue Black Black Blue Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Black Purple Black Gray\nBlack Black Black Black Black Gray Purple Purple Purple Gray\nBlack Black Black Black Black Gray Black Purple Black Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black 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 Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Black Black Black\nGray Pink Gray 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 Gray Orange\nBlack Black Black Black Pink Orange\nBlack Black Black Black Gray Orange\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBrown Brown Brown Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Brown\nBlack Black Black Black Brown\nBlack Black Black Black Brown\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 3\nInput:\nPink Pink 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\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Pink Black\nBlack Black Black Black Black Pink 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:\nBlue Blue Black Black Black Black Black\nBlue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on 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\nBlack Black Black Black Black Blue 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\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 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\nBrown Brown Brown Brown 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 Purple Purple Purple\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue 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\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Orange Orange Black Black Black Black Black Black\nBlack Black Yellow Yellow Blue Blue Blue Orange Orange Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Green Green Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Green Green Green Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Blue Blue Blue 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 Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Green Green Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Green Green Green Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Gray Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Gray Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Gray Black Blue Blue Blue 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 Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Blue Blue Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Blue Blue Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Blue Blue 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 Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Blue Blue Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Blue Blue Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black 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\nPurple Black Black Black Black Black Black Black Black Black Gray\n\nOutput:\nGray Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Gray\n\n\nExample 2\nInput:\nGray 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\nBlack 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\nBlack Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black\nBlack 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\nBrown Black Black Black Black Black Black Black Black Black Black Black Pink\n\nOutput:\nPink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Pink\n\n\nExample 3\nInput:\nYellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Orange\n\nOutput:\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nBrown Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black 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\nBlue 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 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Green Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Green Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Green Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Green Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Green Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green\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 Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Red Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Red Red Red Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Red Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Black Red Red Red Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Red Red Red Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Red Red Red Red Red Red Red Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Red Red\nBlack Black Black Blue Blue Blue Black Black Black Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Black Blue Black Black Black Black Black Black Red Red Red Red Red Red Red Black\nBlack 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 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 Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Red Red Red Red Red Red Red Black\nBlack Black Blue Blue Blue Blue Blue Purple Purple Purple Red Red Red Red Red Red Red Red Red\nBlack Black Black Blue Blue Blue Black Black Black Black Black Red Red Red Red Red Red Red Black\nBlack Black Black Black Blue Black Black Black Black Black Black Red Red Red Red Red Red Red Black\nBlack 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Blue Blue Blue Black Purple Red Red Red Red Red Red Red Red Red Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Red Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Red Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Blue Blue Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Blue Blue Black Black Black Black Purple Purple Purple Purple Purple Purple Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Purple Purple Purple Purple Purple Purple Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Purple Purple Purple Purple Purple Purple Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Purple Purple Purple Purple Purple Purple Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black\nRed 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\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 Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Pink Pink Pink Pink Pink\nRed Red Red Red Red Red Red Red Red Red Red Red Pink Pink Pink\nRed Red Red Red Red Red Red Red Red Red Red Red Pink Pink Pink\nRed Red Red Red Red Red Red Red Red Red Red Red Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Brown Black Pink Pink Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Yellow Yellow Black Black Orange Orange Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow 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\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 Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Brown Brown Brown Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Brown Brown Brown Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Brown Brown Brown Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Brown Orange Orange Orange Orange Orange Orange Blue Blue\nBlack Black Black Black Black Brown Orange Orange Orange Orange Orange Orange Blue Blue\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Blue Blue\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Blue Blue\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Blue Blue\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Orange Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Brown Purple Gray Pink Orange Brown Green Black Black Black Black Black Black Black\nBlack Black Green Orange Orange Brown Orange Gray Orange Blue Black Black Black Black Black Black Black\nBlack Black Pink Gray Purple Orange Yellow Purple Red Orange Black Black Black Black Black Black Black\nBlack Black Orange Green Orange Blue Purple Green Green Green Black Black Black Black Black Black Black\nBlack Black Purple Yellow Gray Brown Purple Brown Orange Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Green Orange Purple Gray Pink Pink Purple Black Black Black Black Black Black Black\nBlack Black Gray Brown Blue Purple Purple Yellow Yellow Gray Black Black Black Black Black Black Black\nBlack Black Yellow Pink Blue Green Purple Brown Purple Blue Black Black Black Black Black Black Black\nBlack Black Yellow Red Gray Pink Orange Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Brown Purple Gray Pink Orange Brown Green\nGreen Orange Orange Brown Orange Gray Orange Blue\nPink Gray Purple Orange Yellow Purple Red Orange\nOrange Green Orange Blue Purple Green Green Green\nPurple Yellow Gray Brown Purple Brown Orange Yellow\nYellow Green Orange Purple Gray Pink Pink Purple\nGray Brown Blue Purple Purple Yellow Yellow Gray\nYellow Pink Blue Green Purple Brown Purple Blue\nYellow Red Gray Pink Orange Red Brown Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Green Pink Blue Gray Red Black Black Black Black Black Black Black Black\nBlack Orange Brown Blue Purple Brown Gray Black Black Black Black Black Black Black Black\nBlack Brown Brown Purple Purple Brown Pink Black Black Black Black Black Black Black Black\nBlack Orange Blue Orange Brown Pink Green Black Black Black Black Black Black Black Black\nBlack Green Yellow Yellow Orange Yellow Blue Black Black Black Black Black Black Black Black\nBlack Purple Purple Pink Orange Blue Green Black Black Black Black Black Black Black Black\nBlack Red Pink Blue Purple Red Purple Black Black Black Black Black Black Black Black\nBlack Gray Pink Gray Yellow Purple Pink Black Black Black Black Black Black Black Black\nBlack Orange Red Pink Orange Yellow Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nRed Green Pink Blue Gray Red\nOrange Brown Blue Purple Brown Gray\nBrown Brown Purple Purple Brown Pink\nOrange Blue Orange Brown Pink Green\nGreen Yellow Yellow Orange Yellow Blue\nPurple Purple Pink Orange Blue Green\nRed Pink Blue Purple Red Purple\nGray Pink Gray Yellow Purple Pink\nOrange Red Pink Orange Yellow Brown\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 Red Green Blue Orange Purple Pink Orange Gray Pink Blue Purple Black Black Black\nBlack Black Yellow Orange Green Purple Blue Blue Brown Green Orange Gray Red Black Black Black\nBlack Black Yellow Pink Purple Orange Gray Pink Purple Brown Yellow Brown Pink Black Black Black\nBlack Black Blue Gray Green Gray Blue Blue Purple Orange Purple Red Brown Black Black Black\nBlack Black Green Blue Green Yellow Green Blue Yellow Yellow Blue Orange Yellow Black Black Black\nBlack Black Brown Brown Pink Purple Blue Orange Green Gray Blue Green Blue Black Black Black\nBlack Black Gray Pink Brown Yellow Pink Pink Purple Pink Green Red Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Green Blue Orange Purple Pink Orange Gray Pink Blue Purple\nYellow Orange Green Purple Blue Blue Brown Green Orange Gray Red\nYellow Pink Purple Orange Gray Pink Purple Brown Yellow Brown Pink\nBlue Gray Green Gray Blue Blue Purple Orange Purple Red Brown\nGreen Blue Green Yellow Green Blue Yellow Yellow Blue Orange Yellow\nBrown Brown Pink Purple Blue Orange Green Gray Blue Green Blue\nGray Pink Brown Yellow Pink Pink Purple Pink Green Red Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Brown Blue Pink Gray Pink Gray Black Black Black Black Black Black\nBlack Pink Brown Brown Orange Pink Pink Pink Black Black Black Black Black Black\nBlack Purple Brown Yellow Blue Orange Orange Pink Black Black Black Black Black Black\nBlack Gray Blue Red Pink Brown Red Purple Black Black Black Black Black Black\nBlack Orange Blue Orange Yellow Purple Green Gray Black Black Black Black Black Black\nBlack Orange Red Pink Green Green Brown Orange Black Black Black Black Black Black\nBlack Purple Purple Yellow Blue Green Red Purple Black Black Black Black Black Black\nBlack Purple Brown Orange Brown Yellow Blue Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Brown Blue Pink Gray Pink Gray\nPink Brown Brown Orange Pink Pink Pink\nPurple Brown Yellow Blue Orange Orange Pink\nGray Blue Red Pink Brown Red Purple\nOrange Blue Orange Yellow Purple Green Gray\nOrange Red Pink Green Green Brown Orange\nPurple Purple Yellow Blue Green Red Purple\nPurple Brown Orange Brown Yellow Blue 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:\nPink Black Black Black Black Black Gray Black\nBlack Black Black Black Orange Black Black Orange\nBlue Black Yellow Black Black Black Orange Black\nBlack Purple Black Black Black Black Orange Yellow\nBlack Orange Black Pink Black Black Purple Black\nBlack Black Black Black Pink Black Black Black\nBlack Black Black Black Red Black Black Black\nPurple Orange Black Orange Black Black Gray Black\n\nOutput:\nOrange\n\n\nExample 2\nInput:\nBlack Black Red Black Red Black Black\nBlack Black Black Brown Brown Black Purple\nBlack Black Pink Black Yellow Black Black\nBlack Black Black Purple Black Black Black\nBlue Purple Black Gray Pink Black Black\nBlack Yellow Black Black Black Black Brown\nBlack Black Purple Yellow Black Black Black\n\nOutput:\nOrange\n\n\nExample 3\nInput:\nBrown Red Black Blue Pink Gray Black\nBlack Yellow Black Black Black Black Brown\nBlack Black Black Orange Black Black Black\nBlack Black Black Brown Black Black Black\nBlack Black Black Black Black Black Orange\nBlack Black Black Black Yellow Black Black\nBlack Black Black Black Purple Black Black\n\nOutput:\nBlue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Gray Gray\nBlack Black Orange Black Purple Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black\nGreen Black Green Black Black Purple Black Black Black\nBlack Brown Black Black Blue Black Yellow Black Black\nBlue Black Black Black Black Orange Black Black Black\nBlack Red Black Black Black Brown Black Orange Black\nYellow Gray Black Black Black Black Black Black Black\nBlack Red Pink Black Black Black Pink Purple 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```\nOrange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGreen Green Green Green Orange Orange Orange Black Black Black Black Black\nGreen Green Green Green Orange Orange Orange Black Black Black Black Black\nGreen Green Green Green Orange Orange Orange Black Black Black Black Black\nBlack Black Green Green Orange Orange Orange Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black\nGreen Green Green Green 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\n\nOutput:\nGreen Green Green Green Orange Orange Orange Black Black Orange Orange Green\nGreen Green Green Green Orange Orange Orange Black Black Orange Orange Green\nGreen Green Green Green Orange Orange Orange Black Black Orange Orange Green\nGreen Green Green Green Orange Orange Orange Black Black Orange Orange Green\nGreen Green Green Green Green Black Black Black Black Orange Orange Green\nGreen Green Green Green Green Black Black Black Black Orange Orange Green\nGreen Green Green Green Green Black Black Black Black Orange Orange Green\nGreen Green Green Green Green Black Black Black Black Orange Orange Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Pink Pink Pink Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Pink Pink Pink Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Pink Pink Pink Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Pink Pink Pink Gray Gray Gray Gray Gray 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 Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Pink Pink Pink Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Pink Pink Pink Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Pink Pink Pink Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Pink Pink Pink Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray\nBlack Black Black Black Black Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Black Black Black Gray Gray Gray\nBlack Black Black Black Black Gray Gray Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black 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```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray Gray\nBlack Black Black Black 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 Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Orange Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black\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 Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Black Orange Black Black Black Black\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 Orange Brown Black Purple Black\nBlack Black Black Yellow Black Black Black Black Blue Black\nBlack Pink Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Green Black Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Black Purple 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 Orange Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBrown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Purple\nBlack Black Black Black Pink Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Brown 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 Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black\nOrange Black Black Pink Pink Black Black Black Black\nRed Black Black Black Pink Black Black Black Black\nBlack Black Black Pink Pink Black Black Brown Brown\nBlack Black Black Black Black Pink 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 Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Red Blue Green Brown Brown Red Blue Green Brown Brown Red Blue Green Brown Brown Red\nBlue Orange Yellow Green Green Blue Orange Yellow Green Green Blue Orange Yellow Green Green Blue Orange\nBlue Blue Brown Yellow Blue Blue Blue Brown Yellow Blue Blue Blue Brown Yellow Blue Blue Blue\nGray Gray Blue Orange Red Gray Gray Blue Orange Black Gray Gray Blue Orange Red Gray Gray\nBlue Gray Blue Blue Brown Blue Gray Blue Blue Black Blue Gray Blue Blue Brown Blue Gray\nBrown Red Blue Green Brown Brown Black Blue Green Brown Brown Black Blue Black Brown Brown Red\nBlue Orange Yellow Green Green Blue Black Yellow Green Green Blue Orange Yellow Black Green Blue Black\nBlue Blue Brown Yellow Blue Blue Blue Brown Yellow Blue Blue Blue Brown Yellow Blue Blue Blue\nGray Gray Blue Orange Red Gray Gray Blue Orange Red Gray Gray Blue Orange Red Gray Gray\nBlue Gray Blue Blue Brown Blue Gray Blue Blue Brown Black Gray Blue Blue Brown Blue Gray\nBrown Red Blue Green Brown Brown Red Blue Green Brown Brown Red Blue Green Black Brown Red\nBlue Orange Yellow Green Green Blue Orange Yellow Green Green Blue Orange Yellow Green Green Blue Orange\nBlue Blue Brown Yellow Blue Blue Blue Brown Yellow Blue Blue Blue Brown Yellow Blue Blue Blue\n\nOutput:\nBrown Red Blue Green Brown Brown Red Blue Green Brown Brown Red Blue Green Brown Brown Red\nBlue Orange Yellow Green Green Blue Orange Yellow Green Green Blue Orange Yellow Green Green Blue Orange\nBlue Blue Brown Yellow Blue Blue Blue Brown Yellow Blue Blue Blue Brown Yellow Blue Blue Blue\nGray Gray Blue Orange Red Gray Gray Blue Orange Red Gray Gray Blue Orange Red Gray Gray\nBlue Gray Blue Blue Brown Blue Gray Blue Blue Brown Blue Gray Blue Blue Brown Blue Gray\nBrown Red Blue Green Brown Brown Red Blue Green Brown Brown Red Blue Green Brown Brown Red\nBlue Orange Yellow Green Green Blue Orange Yellow Green Green Blue Orange Yellow Green Green Blue Orange\nBlue Blue Brown Yellow Blue Blue Blue Brown Yellow Blue Blue Blue Brown Yellow Blue Blue Blue\nGray Gray Blue Orange Red Gray Gray Blue Orange Red Gray Gray Blue Orange Red Gray Gray\nBlue Gray Blue Blue Brown Blue Gray Blue Blue Brown Blue Gray Blue Blue Brown Blue Gray\nBrown Red Blue Green Brown Brown Red Blue Green Brown Brown Red Blue Green Brown Brown Red\nBlue Orange Yellow Green Green Blue Orange Yellow Green Green Blue Orange Yellow Green Green Blue Orange\nBlue Blue Brown Yellow Blue Blue Blue Brown Yellow Blue Blue Blue Brown Yellow Blue Blue Blue\n\n\nExample 2\nInput:\nRed Brown Brown Brown Black Red Brown Brown Brown Red Red Black Brown Brown Red\nGray Orange Brown Orange Gray Gray Orange Brown Orange Gray Gray Orange Black Orange Gray\nGray Yellow Green Yellow Gray Black Yellow Green Yellow Gray Gray Yellow Green Yellow Gray\nPurple Brown Blue Brown Purple Purple Brown Blue Brown Purple Purple Brown Blue Brown Purple\nOrange Purple Blue Purple Orange Orange Purple Blue Purple Orange Orange Purple Blue Purple Orange\nRed Brown Brown Brown Red Red Brown Brown Brown Red Red Brown Brown Brown Red\nGray Orange Brown Orange Gray Gray Orange Brown Orange Black Gray Orange Brown Orange Gray\nGray Yellow Green Yellow Gray Gray Yellow Green Yellow Gray Gray Yellow Green Yellow Gray\nPurple Brown Blue Brown Purple Purple Brown Blue Brown Purple Purple Brown Blue Black Purple\nBlack Purple Blue Purple Orange Orange Purple Blue Purple Orange Orange Purple Blue Purple Orange\nRed Black Brown Brown Red Red Brown Brown Brown Red Red Brown Brown Brown Red\nGray Orange Brown Orange Gray Gray Orange Brown Orange Gray Gray Orange Brown Orange Gray\n\nOutput:\nRed Brown Brown Brown Red Red Brown Brown Brown Red Red Brown Brown Brown Red\nGray Orange Brown Orange Gray Gray Orange Brown Orange Gray Gray Orange Brown Orange Gray\nGray Yellow Green Yellow Gray Gray Yellow Green Yellow Gray Gray Yellow Green Yellow Gray\nPurple Brown Blue Brown Purple Purple Brown Blue Brown Purple Purple Brown Blue Brown Purple\nOrange Purple Blue Purple Orange Orange Purple Blue Purple Orange Orange Purple Blue Purple Orange\nRed Brown Brown Brown Red Red Brown Brown Brown Red Red Brown Brown Brown Red\nGray Orange Brown Orange Gray Gray Orange Brown Orange Gray Gray Orange Brown Orange Gray\nGray Yellow Green Yellow Gray Gray Yellow Green Yellow Gray Gray Yellow Green Yellow Gray\nPurple Brown Blue Brown Purple Purple Brown Blue Brown Purple Purple Brown Blue Brown Purple\nOrange Purple Blue Purple Orange Orange Purple Blue Purple Orange Orange Purple Blue Purple Orange\nRed Brown Brown Brown Red Red Brown Brown Brown Red Red Brown Brown Brown Red\nGray Orange Brown Orange Gray Gray Orange Brown Orange Gray Gray Orange Brown Orange Gray\n\n\nExample 3\nInput:\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink Black Pink Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink\nRed Blue Yellow Black Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Black\nRed Blue Yellow Red Black Yellow Red Black Yellow Red Black Yellow Red Blue Yellow Red\nPink Brown Pink Black Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Black Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Brown Blue Blue Black Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\nBlue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow\nBlue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Black Blue Blue Black Brown Blue Blue Blue Brown Black Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Black Yellow Yellow Blue Brown Yellow\nBlue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow\nBlue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Black Blue Black\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\nBlue Yellow Yellow Brown Blue Yellow Yellow Brown Black Yellow Yellow Brown Blue Yellow\nBlue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Black Brown Blue Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue 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```\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\nBlue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow\nBlue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\nBlue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow\nBlue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\nBlue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow\nBlue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue 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 Pink Pink Pink Black Black Black\nBlack Black Pink 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\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 Black Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Black Black Black\nPink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Red Black Black Black Black\nBlack Black Red 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:\nRed Black Red Black Black Black Black\nBlack Black Red Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Black Black Black\nYellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black\nGray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Purple Purple Purple Purple Brown Brown Brown 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 Orange Orange Orange Orange Black Black\nBlack Black Black Black Pink Pink Pink Orange Orange Orange Orange Black Black\nBlack Black Black Black Pink Pink Pink Orange Orange Orange Orange Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Gray Gray Gray Black Black Black Black\nBlack Brown Brown Brown Black Gray Gray Gray Black Black Black Black\nBlack Brown Brown Brown Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray 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 Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Red Red Red Red Black Black Black Black Pink Pink Pink Pink Black\nBlack Red Red Red Red Blue Blue Blue Black Black Black Black Black Black\nBlack Red Red Red Red Blue Blue Blue Black Black Black Black Black Black\nBlack Red Red Red Red Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Pink Pink Pink Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Pink Pink Pink Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Pink Pink Pink Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Blue Blue Blue Black Black\nBlack Black Black Black Gray Gray Gray Black Black Blue Blue Blue Black Black\nBlack Black Black Black Gray Gray Gray Black Black Blue Blue Blue 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 Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Green Green Green Black\nGreen Green Green Green Black Green Green Green Black\nGreen Green Green Green Green Green Green Green Black\nGreen Green Green Green Green Black Black Black Black\nBlack Black Green Green Green 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\nBlue Blue Blue Blue Black Blue Blue Blue Black\nBlue Blue Blue Blue Black Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue 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\nBlack Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black\nGreen Green Green Green Green Black Black Black\nGreen Green Green Green Green Black Black Black\nGreen Green Green Green Black Black Black Black\nGreen Green Green Green 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 Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black\nGreen Green Green Green Green Black Black Black\nGreen Green Green Green Green Black Black Black\nBlack Black Black Green Green Black Black Black\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 Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\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 Green Green Green Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on 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 Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Black Black Blue Black\nBlack Black Black Black Blue Blue Black Black Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Yellow Yellow Blue Black\nBlack Black Black Black Blue Blue Yellow Yellow Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Black Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Blue Blue Blue Black Black\nBlue Black Blue Blue Black Blue Black Blue Black Black\nBlue Blue Blue Blue Black Blue Blue Blue Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Green Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Blue Blue Blue Black Black\nBlue Green Blue Blue Black Blue Green Blue Black Black\nBlue Blue Blue Blue Black Blue Blue Blue 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 Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Black Blue Black Black Blue\nBlue Blue Blue Black Blue Black Blue Black Black Blue\nBlue Blue Blue Blue Blue Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Black Blue Yellow Yellow Blue\nBlue Blue Blue Green Blue Black Blue Yellow Yellow Blue\nBlue Blue Blue Blue Blue Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Blue Blue Blue\nBlue Black Black Blue Black Black Black Blue Black Blue\nBlue Black Black Blue Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on 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\nBlue Blue Blue Blue Black Black Black Blue Blue Blue\nBlue Yellow Yellow Blue Black Black Black Blue Green Blue\nBlue Yellow Yellow Blue Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 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 Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Orange Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\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 Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black 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 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 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple 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 Brown Brown Brown Brown Black Black Green Green Orange Orange Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Green Green Orange Orange Black Brown Brown Brown Brown\nPink Pink Brown Brown Brown Brown Black Black Green Green Black Black Black Brown Brown Brown Brown\nPink Pink Brown Brown Brown Brown Black Black Green Green Black Black Black Brown Brown Brown Brown\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\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 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 Blue Blue Black Black\nOrange Orange Orange Black Black Black Red Red Black Black Black Gray Gray Black Black\nOrange Orange Orange Blue Black Black Red Red Black Black Black Brown Brown Brown Brown\nBlack Blue Blue Blue Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray 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\nBlack 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\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Red Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\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\nBrown Brown Pink Pink Black Black Black Gray Gray Gray Black Black Black Black\nBrown Brown Pink Pink Gray Gray Gray Gray Gray Gray Black Black Black Black\nBrown Brown Pink Pink Gray Gray Gray Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Orange Orange\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Orange Orange\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```\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\nPurple 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Gray Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Gray Black Black\nBlack Gray Black Black Black Black Black Gray Black Black\nBlack Gray Black Black Black Black Black Gray Black Black\nBlack Gray Black Black Black Black Black Gray Black Gray\nBlack Gray Black Gray Black Black Black Gray Black Gray\nBlack Gray Black Gray Black Black Black Gray Black Gray\nBlack Gray Black Gray Black Black Black Gray Black Gray\nBlack Gray Black Gray Black Gray Black Gray Black Gray\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Red Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Blue Black Black\nBlack Red Black Black Black Black Black Blue Black Black\nBlack Red Black Black Black Black Black Blue Black Black\nBlack Red Black Black Black Black Black Blue Black Green\nBlack Red Black Yellow Black Black Black Blue Black Green\nBlack Red Black Yellow Black Black Black Blue Black Green\nBlack Red Black Yellow Black Black Black Blue Black Green\nBlack Red Black Yellow Black Orange Black Blue Black Green\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 Gray Black Black Black Black\nBlack Black Black Gray Black Gray Black Black Black Black\nBlack Black Black Gray Black Gray Black Gray Black Black\nBlack Black Black Gray Black Gray Black Gray Black Gray\nBlack Black Black Gray Black Gray Black Gray Black Gray\nBlack Gray Black Gray Black Gray Black Gray Black Gray\nBlack Gray Black Gray Black Gray Black Gray Black Gray\nBlack Gray Black Gray Black Gray Black Gray Black Gray\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black\nBlack Black Black Blue Black Red Black Black Black Black\nBlack Black Black Blue Black Red Black Green Black Black\nBlack Black Black Blue Black Red Black Green Black Yellow\nBlack Black Black Blue Black Red Black Green Black Yellow\nBlack Orange Black Blue Black Red Black Green Black Yellow\nBlack Orange Black Blue Black Red Black Green Black Yellow\nBlack Orange Black Blue Black Red Black Green Black Yellow\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 Gray Black Black Black Black Black Black\nBlack Gray Black Gray Black Black Black Black Black Black\nBlack Gray Black Gray Black Black Black Black Black Gray\nBlack Gray Black Gray Black Gray Black Black Black Gray\nBlack Gray Black Gray Black Gray Black Black Black Gray\nBlack Gray Black Gray Black Gray Black Gray Black Gray\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 Red Black Black Black Black Black Black\nBlack Blue Black Red Black Black Black Black Black Black\nBlack Blue Black Red Black Black Black Black Black Green\nBlack Blue Black Red Black Yellow Black Black Black Green\nBlack Blue Black Red Black Yellow Black Black Black Green\nBlack Blue Black Red Black Yellow Black Orange Black 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 Gray Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Gray Black Black\nBlack Black Black Gray Black Black Black Gray Black Black\nBlack Black Black Gray Black Black Black Gray Black Black\nBlack Black Black Gray Black Gray Black Gray Black Black\nBlack Black Black Gray Black Gray Black Gray Black Black\nBlack Black Black Gray Black Gray Black Gray Black Black\nBlack Gray Black Gray Black Gray Black Gray Black Black\nBlack Gray Black Gray Black Gray Black Gray Black Gray\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 Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Blue Black Black\nBlack Black Black Red Black Black Black Blue Black Black\nBlack Black Black Red Black Black Black Blue Black Black\nBlack Black Black Red Black Green Black Blue Black Black\nBlack Black Black Red Black Green Black Blue Black Black\nBlack Black Black Red Black Green Black Blue Black Black\nBlack Yellow Black Red Black Green Black Blue Black Black\nBlack Yellow Black Red Black Green Black Blue Black Orange\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\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 Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green\nGreen Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green\nGreen Green Green\nGreen Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow\nYellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow\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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow\nYellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow\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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Black Black Black\nYellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow\nYellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow\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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow\nYellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow\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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow\nYellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow Purple Purple Yellow Yellow\n\n\nExample 2\nInput:\nPurple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple\nPurple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Black Yellow Purple\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow\nBlack Black Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple\nBlack Black Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple\nPurple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple\nPurple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nPurple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple\nPurple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple\nPurple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple\nPurple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple Purple Black Purple\nPurple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple\nYellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple\nYellow Black Black Black Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Purple Purple Yellow Purple Purple Yellow Black Black Yellow Purple Purple Yellow Purple\nYellow Yellow Purple Yellow Yellow Purple Yellow Black Black Yellow Yellow Purple Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple\nYellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple\nYellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple\nYellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple\nYellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple\nYellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple\nYellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple\nYellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow Purple Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Purple Yellow Black Black Yellow Purple Yellow Black Black Yellow Purple Yellow Black\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\nBlack Yellow Purple Yellow Black Black Yellow Purple Yellow Black Black Yellow Purple Yellow Black\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\nBlack Yellow Purple Yellow Black Black Yellow Purple Yellow Black Black Yellow Purple Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Purple Yellow Black Black Yellow Purple Yellow Black Black Yellow Purple Yellow Black\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\nBlack Yellow Purple Yellow Black Black Yellow Purple Yellow Black Black Yellow Purple Yellow Black\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\nBlack Yellow Purple Yellow Black Black Yellow Purple Yellow Black Black Yellow Purple Yellow Black\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\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Purple Yellow Black Black Yellow Purple Yellow Black Black Yellow Purple Yellow Black\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\nBlack Yellow Purple Yellow Black Black Yellow Purple Yellow Black Black Yellow Purple Yellow Black\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\nBlack Yellow Purple Yellow Black Black Yellow Purple Yellow Black Black Yellow Purple Yellow Black\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\nBlack Yellow Purple Yellow Black Black Yellow Purple Yellow Black Black Yellow Purple Yellow Black\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\nBlack Yellow Purple Yellow Black Black Yellow Purple Yellow Black Black Yellow Purple Yellow Black\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\nBlack Yellow Purple Yellow Black Black Yellow Purple Yellow Black Black Yellow Purple Yellow Black\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```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Pink Black Black Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Yellow Black Black Yellow\nBlack Pink Black Black Pink Black Black Black Black Yellow Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nYellow Black Black Black Yellow Black Black Blue Blue Blue Blue Blue Black\nYellow Yellow Yellow Yellow Yellow Black Black Blue Blue Blue Blue Black Black\nYellow Black Black Black Yellow Black Black Blue Blue Blue Black Black Black\n\nOutput:\nBlack Pink Black Black Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Yellow Black Black Yellow\nBlack Pink Black Black Pink Black Black Black Black Yellow Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Yellow Red Red Yellow\nBlack Black Black Yellow Red Yellow Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Red Red Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Red Red Blue Black\nYellow Black Black Black Yellow Black Black Blue Red Red Red Blue Black\nYellow Yellow Yellow Yellow Yellow Black Black Blue Red Red Blue Black Black\nYellow Black Black Black Yellow Black Black Blue Blue Blue Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Black Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Green Green Green Black Black Black\nBlue Blue Blue Blue Black Green Green Green Green Green Black Black\nBlue Blue Blue Blue Black Green Green Black Green Green Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Red Red Red Pink Black Black Black\nBlack Black Black Black Pink Red Pink Red Pink Black Black Black\nBlack Black Black Black Pink Pink Black Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Green Green Green Black Black Black\nBlue Red Red Blue Black Green Red Green Red Green Black Black\nBlue Red Red Blue Black Green Green Black Green Green Black Black\nBlue Red Red Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nYellow Yellow Yellow Black Black Black Black Pink Black Black Black Black\nYellow Yellow Yellow Black Black Black Pink Pink Pink Black Black Black\nYellow Yellow Black Black Black Black Black Pink Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Green Black Black Black Black Black Black Black\nBlack Green Black Black Green Black Black Black Blue Blue Blue Blue\nBlack Green Green Green Green Black Black Black Blue Blue Blue Blue\nBlack Green Black Black Green Black Black Black Blue Blue Black Black\nBlack Green Black Black Green Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Black Black Black Black Pink Black Black Black Black\nYellow Red Yellow Black Black Black Pink Red Pink Black Black Black\nYellow Yellow Black Black Black Black Black Pink Black Black Black Black\nYellow Red Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Green Black Black Black Black Black Black Black\nBlack Green Black Black Green Black Black Black Blue Blue Blue Blue\nBlack Green Green Green Green Black Black Black Blue Red Blue Blue\nBlack Green Black Black Green Black Black Black Blue Blue Black Black\nBlack Green Black Black Green Black Black Black Blue Blue 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 Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Blue Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Blue Black Blue Blue Black Black Black Black Yellow Yellow Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Red Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Red Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Blue Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Blue Black Blue Blue 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Blue Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Yellow Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Yellow Blue Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Blue Yellow Blue Yellow Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Blue Yellow Blue Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Blue Yellow Blue Yellow Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Blue Yellow Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Blue Yellow Blue Blue Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Blue Blue Yellow Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Blue Blue Yellow Blue Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Blue Yellow Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Blue Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Blue Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Blue Yellow Blue Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Blue Yellow Blue Yellow Blue Blue Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Blue Yellow Blue Yellow Blue Blue Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Blue Yellow Blue Yellow Blue Yellow Blue Blue Yellow Blue Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Blue Yellow Blue Yellow Blue Yellow Blue Blue Yellow Blue Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Blue Yellow Blue Yellow Blue Yellow Blue Blue Yellow Blue Yellow Blue Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Blue Yellow Blue Yellow Blue Yellow Blue Blue Yellow Blue Yellow Blue Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Blue Yellow Blue Yellow Blue Yellow Blue Blue Yellow Blue Yellow Blue Yellow Blue Yellow Blue Blue Blue Blue Blue Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Blue Blue Blue Blue Blue Blue Yellow\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\nYellow Yellow Yellow Yellow Blue Yellow Blue Yellow Blue Blue Blue Blue Blue Blue Blue Yellow\nYellow Yellow Yellow Blue Yellow Blue Yellow Blue Blue Yellow Blue Blue Blue Blue Blue Yellow\nYellow Yellow Blue Yellow Blue Yellow Blue Blue Yellow Blue Blue Blue Blue Blue Blue Yellow\nYellow Blue Yellow Blue Yellow Blue Blue Yellow Blue Yellow Blue Blue Blue Blue Blue Yellow\nBlue Yellow Blue Yellow Blue Blue Yellow Blue Yellow Blue Blue Blue Blue Blue Blue Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Blue Blue Yellow Blue\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow Blue Blue Yellow Blue Yellow\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Blue Yellow 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\nYellow Yellow Blue Yellow Blue Blue Blue Blue Blue Blue Yellow Blue Yellow Yellow Yellow Yellow\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\nYellow Blue Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Yellow Blue Blue Yellow Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Blue Blue Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Yellow Blue\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow Yellow Blue Yellow Blue Yellow\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow Blue Yellow Blue Yellow Blue\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Blue Yellow Blue Blue\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow Blue Yellow Blue Blue Yellow\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Blue Blue Yellow Blue\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow Blue Blue Yellow Blue Yellow\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Blue Yellow 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\nYellow Blue Yellow Blue Blue Blue Blue Blue Blue Yellow Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange\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 Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Brown Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Gray Gray Black Black Black\nBlack Black Black Black Black Orange Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Brown 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\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 Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 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\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 Gray Gray Gray Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on 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 Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Yellow 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 Yellow 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 Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Brown Brown Brown Black Black Black\nBlack Black Purple Purple Purple Purple Black Brown Brown Brown Black Black Black\nBlack Black Purple Purple Purple Purple Black Brown Brown Brown Black Black Black\nBlack Black Purple Purple Purple Purple Black Brown Brown Brown Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Black Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Black Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Black Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Orange Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Orange Brown Brown Brown Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Orange Orange Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\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 Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Black Black\nBlack 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 Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\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 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 Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack 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\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\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\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\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 Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Black Black Purple Red\nBrown Red Gray Red Red\nBlack Red Black Red Blue\nPurple Red Black Red Red\nRed Yellow Green Red Red\n\nOutput:\nGreen Black Black Purple Green\nBrown Green Gray Green Green\nBlack Green Black Green Blue\nPurple Green Black Green Green\nGreen Yellow Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Purple Black Brown Black\nBlack Blue Purple Black Black\nRed Black Brown Black Red\nBlack Black Yellow Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Purple Black Brown Black\nBlack Blue Purple Black Black\nGreen Black Brown Black Green\nBlack Black Yellow Black Black\n\n\nExample 3\nInput:\nYellow Black Black Black Brown\nBlack Black Black Orange Yellow\nBlack Black Brown Black Black\nBlack Black Black Black Black\nRed Black Black Red Red\n\nOutput:\nYellow Black Black Black Brown\nBlack Black Black Orange Yellow\nBlack Black Brown Black Black\nBlack Black Black Black Black\nGreen Black Black Green Green\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Black Black Red\nBlack Black Black Black Blue\nBlack Black Black Red Black\nRed Black Black Black Red\nRed Black Black Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Black Black Black Green\nBlack Black Black Black Blue\nBlack Black Black Green Black\nGreen Black Black Black Green\nGreen Black Black Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Green Green Green Green Green Black Black Black Black Black Blue\nBlue Green Green Green Green Green Black Black Black Black Black Blue\nBlue Green Green Green Green Green Black Black Black Black Black Blue\nBlue Green Green Green Green Green Black Black Black Black Black Blue\nBlue Green Green Green Green Green Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Green Green Green Green Green Blue\nBlue Black Black Black Black Black Green Green Green Green Green Blue\nBlue Black Black Black Black Black Green Green Green Green Green Blue\nBlue Black Black Black Black Black Green Green Green Green Green Blue\nBlue Black Black Black Black Black Green Green Green Green Green Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Green Green Green Green Green Black Black Black Blue\nBlue Black Black Green Green Green Green Green Black Black Black Blue\nBlue Black Black Green Green Green Green Green Black Black Black Blue\nBlue Black Black Green Green Green Green Green Black Black Black Blue\nBlue Black Black Green Green Green Green Green Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Green Green Green Green Green Blue\nBlue Black Black Black Black Black Green Green Green Green Green Blue\nBlue Black Black Black Black Black Green Green Green Green Green Blue\nBlue Black Black Black Black Black Green Green Green Green Green Blue\nBlue Black Black Black Black Black Green Green Green Green Green Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Blue\nBlue 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 Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Brown Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Purple Purple Black Black Orange Black Black Black\nBlack Black Gray Gray Brown Brown Orange Black Black Black Black Black Black\nBlack Black Gray Gray Brown Brown Orange Orange Black Black Black Black Black\nBlack Black Gray Gray Brown Brown Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Gray Black Black Black Black Purple 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 Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Brown Brown Orange Black Black Black Black Black Black\nBlack Black Gray Gray Brown Brown Orange Orange Black Black Black Black Black\nBlack Black Gray Gray Brown Brown Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Red Black Black Pink Pink Purple\nBlack Black Pink Black Gray Gray Gray Black Black Pink Pink Black\nBlack Black Pink Black Gray Gray Gray Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black\nRed Gray Red Black Black Black Black Pink Black Black Black Black\nRed Red Red Black Purple Purple Black Pink Black Black Black Black\nRed Red Red Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Gray Black Black Black Black Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Gray Gray Gray Black Black Pink Pink Black\nBlack Black Black Black Gray Gray Gray Black Black Pink Pink Black\nBlack Black Gray Black Black Black Black Black Black Purple Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Black Red Black Black Black Black Black Black Black Black Black\nRed Red Pink Black Purple Purple Black Black Black Black Black Black\nRed Red Red Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Purple Purple Purple Black Black Black Black Pink Pink Black\nBlack Black Purple Purple Purple Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nPink Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Green\nBlack Black Red Red Red Black Black Brown Brown Brown Brown Black\nBlack Black Red Red Red Black Black Brown Brown Brown Brown Black\nGreen Green Green Pink Black Black Black Brown Brown Green Brown Black\nGreen Green Green Green Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\n\nOutput:\nBlack Black Purple Purple Purple Black Black Black Black Pink Pink Black\nBlack Black Purple Purple Purple Black Red Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Pink 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 Brown Brown Brown Brown Black\nBlack Black Red Red Red Black Black Brown Brown Brown Brown Black\nGreen Pink Green Black Black Black Black Brown Brown Black Brown Black\nGreen Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Yellow Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Brown Brown Blue Blue Black Black Black Black Black Brown\nYellow Yellow Yellow Yellow Brown Brown Brown Yellow Black Black Black Black Black Black\nBlack Black Black Black Brown Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black 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 Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Brown Brown Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nPurple Purple Purple Purple Green Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen 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 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\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen 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 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 Red Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black 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\nBlack Black Black Black Pink Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Blue 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\nBlack Black Brown Black Black Brown Black Black Black Black Black Red Black Black\nRed Red Red Red Red Brown Red Red Green Red Red Red Red Red\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\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:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Gray Red Gray Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Purple Purple Purple\nYellow Yellow Yellow Black Black Black Black Purple Purple Purple\nYellow Yellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Orange Orange Orange Black\nBlack Black Pink Pink Pink Black Orange Orange Orange Black\nBlack Black Pink Pink Pink Black Orange Orange Orange Black\n\nOutput:\nGray\n\n\nExample 2\nInput:\nBlack Black Black Black Gray Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Pink Pink Pink Black Black Black\nBlue Blue Blue Black Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Yellow Yellow Yellow Black Orange Orange Orange\nBlack Black Black Yellow Yellow Yellow Black Orange Orange Orange\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\n\nOutput:\nGray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown\nGray Gray Gray Gray Black Black Black Brown Brown Brown\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Black Orange Orange Orange Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nYellow Yellow Yellow Black Black Orange Orange Orange Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray\nBlack Gray Gray Gray\nBlack 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 Pink Pink Pink Black Black Gray Gray Gray\nBlack Black Pink Pink Pink Gray Black Gray Gray Gray\nBlack Black Pink Pink Pink Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Yellow Black Black Black Black Black Yellow Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Yellow Black Black Black\nBlack Black Yellow Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow 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 Orange Black\nBlack Black Black Black Black Black Black Orange Orange Orange\nBlack Black Orange Black Black Black Black Black Orange Black\nBlack Orange Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black\nBlack Orange Orange Orange Black Black Orange Black Black Black\nBlack Black Orange Black Black Orange Orange Orange Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Yellow Black Black Black\nYellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black\nBlack Yellow Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black Yellow Black\nBlack Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow\nBlack Black Black Black Yellow Black Black Black Yellow 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 Orange Black Black Black Black Orange Black Black Black\nOrange Orange Orange Black Black Orange Orange Orange Black Black\nBlack Orange Black Black Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Orange Black Black Black Orange Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Yellow Black Black Black Yellow Black Black Black\nBlack Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Orange Black Black Black Orange Black Black Black\nBlack Orange Orange Orange Black Orange Orange Orange Black Black\nBlack Black Orange Black Black Black Orange Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Yellow Black\nBlack Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Yellow Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on 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 Orange Black Black Black Black Orange Black\nBlack Black Orange Orange Orange Black Black Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Black Black Orange Black\nBlack Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Orange Black Black Orange Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Gray Yellow Gray Black Black Black Black Black Black\nBlack Black Gray Yellow Gray Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Yellow Purple Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Brown Yellow Brown Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Pink Yellow Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Black Black Black Black Yellow Black Black Black Black Yellow\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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Green Green Green Black Black Black Black Black Gray Yellow Gray Black\nBlack Black Black Green Yellow Green Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Yellow Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Gray Gray Gray Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Gray Yellow Gray Black Black Orange Yellow Orange Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Black Yellow Black Black Yellow Black Black Black Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Yellow Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Yellow Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Yellow Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Black Black Black Yellow Black Black Black Black Black Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Yellow Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Yellow Green Black Black\nBlack Black Black Green Green Green Black Black Black Green Green Green Black Black\nBlack Black Black Green Yellow Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Yellow Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Black Black Black Black Black Yellow Yellow\nYellow Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black 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\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 Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Gray Black\nBlack Orange Black Black Black Black Black Black\nPurple Black Black Black Green Black Brown Black\nBlack Black Black Black Purple Black Orange Black\nBlack Black Pink Black Black Black Black Black\nBlack Blue Black Pink Purple Orange Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Black Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Black Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Black Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Black Orange\nOrange Black Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Black Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Orange Black Orange Orange Orange Orange Orange\nBlack Black Black Black Orange Black Orange Orange Orange Orange\nBlack Black Black Black Black Orange Black Orange Orange Orange\n\n\nExample 2\nInput:\nPink Black Brown Black Black Orange\nBlue Black Black Black Black Black\nBlack Black Green Blue Black Blue\nBlack Black Red Purple Black Black\nGray Orange Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nOrange Black Orange Black Black Orange Black Black Black Black\nOrange Black Orange Orange Black Orange Black Black Orange Black\nOrange Black Orange Orange Black Orange Orange Black Orange Black\nBlack Black Orange Orange Black Orange Orange Black Orange Orange\nOrange Orange Black Black Black Orange Orange Black Orange Orange\nBlack Black Black Orange Orange Black Black Black Orange Orange\nBlack Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Yellow Black Black Purple\nPurple Black Black Black Black Black Black\nBlack Black Black Black Black Red Black\nBlack Black Black Black Black Black Green\nBlack Black Purple Black Black Black Black\nBlack Green Black Black Black Black Gray\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Orange Orange Black Orange Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Orange Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Yellow Black Pink\nRed Black Black Black Black\nGray Black Black Black Black\nBlack Black Brown Black Black\nBrown Gray Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Black Orange Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nOrange Orange Orange Black Orange Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nOrange Orange Orange Black Orange Black Black Black Black Black\nOrange 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 Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown 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 Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown 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 Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Pink Pink 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\nBlack Black Orange 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 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 Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Red Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Pink Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow\nGray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray\nBlack Black Orange Orange Green Green Orange Orange Green Green Black Orange Green Green Orange Orange Green\nBlack Black Gray Orange Brown Orange Black Orange Brown Orange Gray Orange Black Black Gray Orange Brown\nBlue Pink Gray Purple Blue Pink Gray Purple Blue Pink Gray Purple Black Black Gray Purple Blue\nYellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow\nGray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Black Pink Orange Brown Gray\nGreen Green Black Orange Black Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green\nBrown Orange Gray Orange Brown Orange Gray Orange Brown Orange Gray Orange Brown Orange Gray Orange Brown\nBlue Pink Gray Purple Blue Pink Gray Purple Blue Pink Gray Purple Blue Pink Gray Purple Blue\nYellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Black Black Brown Black Yellow\nGray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Black Black Orange Brown Gray\nGreen Green Orange Orange Green Green Orange Black Green Green Orange Black Black Green Orange Orange Green\n\nOutput:\nYellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow\nGray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray\nGreen Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green\nBrown Orange Gray Orange Brown Orange Gray Orange Brown Orange Gray Orange Brown Orange Gray Orange Brown\nBlue Pink Gray Purple Blue Pink Gray Purple Blue Pink Gray Purple Blue Pink Gray Purple Blue\nYellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow\nGray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray\nGreen Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green\nBrown Orange Gray Orange Brown Orange Gray Orange Brown Orange Gray Orange Brown Orange Gray Orange Brown\nBlue Pink Gray Purple Blue Pink Gray Purple Blue Pink Gray Purple Blue Pink Gray Purple Blue\nYellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow Pink Brown Purple Yellow\nGray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray Pink Orange Brown Gray\nGreen Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green Green Orange Orange Green\n\n\nExample 2\nInput:\nYellow Blue Red Green Pink Yellow Blue Red Green Pink Yellow Blue Red Green Pink\nBlue Gray Red Orange Brown Blue Gray Red Orange Brown Blue Gray Red Orange Brown\nBlue Black Black Gray Brown Blue Purple Brown Gray Black Black Purple Brown Gray Brown\nBrown Black Black Brown Pink Brown Purple Purple Brown Black Black Purple Purple Brown Pink\nOrange Blue Orange Brown Pink Orange Blue Orange Brown Pink Orange Blue Orange Brown Pink\nYellow Blue Red Green Pink Yellow Blue Red Green Pink Yellow Blue Red Green Pink\nBlue Gray Red Orange Brown Blue Gray Red Orange Brown Blue Black Red Black Black\nBlue Purple Brown Gray Brown Blue Purple Black Black Brown Blue Purple Brown Black Black\nBrown Purple Purple Brown Pink Brown Purple Black Black Pink Brown Purple Purple Brown Pink\nOrange Blue Orange Brown Pink Orange Blue Orange Brown Pink Orange Blue Orange Brown Pink\nYellow Blue Red Green Pink Yellow Blue Red Green Pink Black Black Red Green Pink\nBlack Gray Red Orange Brown Blue Gray Red Orange Brown Black Black Red Orange Brown\n\nOutput:\nYellow Blue Red Green Pink Yellow Blue Red Green Pink Yellow Blue Red Green Pink\nBlue Gray Red Orange Brown Blue Gray Red Orange Brown Blue Gray Red Orange Brown\nBlue Purple Brown Gray Brown Blue Purple Brown Gray Brown Blue Purple Brown Gray Brown\nBrown Purple Purple Brown Pink Brown Purple Purple Brown Pink Brown Purple Purple Brown Pink\nOrange Blue Orange Brown Pink Orange Blue Orange Brown Pink Orange Blue Orange Brown Pink\nYellow Blue Red Green Pink Yellow Blue Red Green Pink Yellow Blue Red Green Pink\nBlue Gray Red Orange Brown Blue Gray Red Orange Brown Blue Gray Red Orange Brown\nBlue Purple Brown Gray Brown Blue Purple Brown Gray Brown Blue Purple Brown Gray Brown\nBrown Purple Purple Brown Pink Brown Purple Purple Brown Pink Brown Purple Purple Brown Pink\nOrange Blue Orange Brown Pink Orange Blue Orange Brown Pink Orange Blue Orange Brown Pink\nYellow Blue Red Green Pink Yellow Blue Red Green Pink Yellow Blue Red Green Pink\nBlue Gray Red Orange Brown Blue Gray Red Orange Brown Blue Gray Red Orange Brown\n\n\nExample 3\nInput:\nYellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Black Black Yellow\nGreen Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green Black Black Green\nPurple Pink Orange Purple Pink Orange Purple Pink Orange Purple Pink Orange Black Pink Orange Purple\nYellow Yellow Red Yellow Yellow Black Black Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow\nGreen Blue Orange Green Blue Black Black Blue Orange Green Blue Orange Green Blue Orange Green\nPurple Pink Orange Purple Pink Orange Purple Pink Orange Black Black Orange Purple Pink Orange Purple\nYellow Yellow Red Yellow Yellow Red Yellow Yellow Red Black Black Red Yellow Yellow Red Yellow\nBlack Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green\nPurple Pink Black Purple Pink Orange Purple Pink Orange Purple Pink Orange Purple Pink Orange Purple\nYellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow\nGreen Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green\nPurple Pink Orange Purple Black Black Purple Pink Orange Black Black Orange Purple Pink Orange Purple\n\nOutput:\nYellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow\nGreen Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green\nPurple Pink Orange Purple Pink Orange Purple Pink Orange Purple Pink Orange Purple Pink Orange Purple\nYellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow\nGreen Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green\nPurple Pink Orange Purple Pink Orange Purple Pink Orange Purple Pink Orange Purple Pink Orange Purple\nYellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow\nGreen Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green\nPurple Pink Orange Purple Pink Orange Purple Pink Orange Purple Pink Orange Purple Pink Orange Purple\nYellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow Yellow Red Yellow\nGreen Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green Blue Orange Green\nPurple Pink Orange Purple Pink Orange Purple Pink Orange Purple Pink Orange Purple Pink Orange Purple\n\n\nHere is the input grid for the test example:\nInput:\nGray Green Pink Brown Gray Green Black Black Gray Green Pink Brown Gray Green\nGray Brown Blue Pink Gray Brown Black Black Gray Brown Blue Pink Gray Brown\nGray Pink Gray Pink Gray Pink Gray Pink Gray Pink Gray Pink Gray Pink\nBrown Brown Orange Pink Brown Brown Orange Pink Brown Brown Orange Pink Brown Brown\nBlack Black Pink Brown Gray Green Pink Brown Gray Green Pink Brown Gray Green\nBlack Black Blue Pink Gray Brown Blue Black Gray Black Black Pink Gray Brown\nGray Pink Gray Pink Gray Pink Gray Pink Gray Black Black Pink Gray Pink\nBrown Brown Black Pink Brown Brown Orange Pink Brown Brown Orange Pink Brown Brown\nGray Green Pink Brown Gray Green Pink Brown Gray Green Pink Brown Gray Green\nGray Brown Blue Pink Gray Brown Blue Pink Gray Black Blue Pink Gray Brown\nGray Pink Gray Black Black Pink Gray Pink Gray Pink Gray Pink Gray Pink\nBrown Brown Orange Black Black Brown Orange Pink Brown Brown Orange Pink Brown Brown\nGray Green Pink Brown Gray Green Pink Brown Gray Green Pink Brown Gray Black\nGray Brown Blue Pink Gray Brown Blue Pink Gray Brown Blue Pink Gray Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Green Pink Brown Gray Green Pink Brown Gray Green Pink Brown Gray Green\nGray Brown Blue Pink Gray Brown Blue Pink Gray Brown Blue Pink Gray Brown\nGray Pink Gray Pink Gray Pink Gray Pink Gray Pink Gray Pink Gray Pink\nBrown Brown Orange Pink Brown Brown Orange Pink Brown Brown Orange Pink Brown Brown\nGray Green Pink Brown Gray Green Pink Brown Gray Green Pink Brown Gray Green\nGray Brown Blue Pink Gray Brown Blue Pink Gray Brown Blue Pink Gray Brown\nGray Pink Gray Pink Gray Pink Gray Pink Gray Pink Gray Pink Gray Pink\nBrown Brown Orange Pink Brown Brown Orange Pink Brown Brown Orange Pink Brown Brown\nGray Green Pink Brown Gray Green Pink Brown Gray Green Pink Brown Gray Green\nGray Brown Blue Pink Gray Brown Blue Pink Gray Brown Blue Pink Gray Brown\nGray Pink Gray Pink Gray Pink Gray Pink Gray Pink Gray Pink Gray Pink\nBrown Brown Orange Pink Brown Brown Orange Pink Brown Brown Orange Pink Brown Brown\nGray Green Pink Brown Gray Green Pink Brown Gray Green Pink Brown Gray Green\nGray Brown Blue Pink Gray Brown Blue Pink Gray Brown Blue Pink Gray Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Green\nBlack Black Black Black Green\n\nOutput:\nGreen Black Black Black Green Black Black Black Black Black\nGreen Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Green Black Black Black Black Black\nGreen Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Pink\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Pink\n\nOutput:\nBlack Pink Black Pink Black Black Black Black\nBlack Pink Black Pink Black Black Black Black\nBlack Black Black Black Black Pink Black Black\nBlack Pink Black Pink Black Black Black Black\nBlack Pink Black Pink Black Black Black Black\nBlack Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Pink Black Black\nBlack Pink Pink Pink\nBlack Pink Pink Pink\nBlack Pink Black Black\n\nOutput:\nBlack Pink Black Pink Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black\nBlack Pink Black Pink Pink Pink Black Black\nBlack Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Purple Black Purple\nBlack Purple Purple Purple Purple\nBlack Purple Purple Black Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black\nPurple Black Purple Black Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nPurple Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nYellow Green Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack 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\nBlack 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\nBlack Black 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 Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Pink Yellow Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Green Black Black Black Black Black Black Pink Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red 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\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Pink\nOrange Black Black Blue Blue Blue 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Black Black Black\nBlack Yellow Black Brown Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Blue Blue Blue Pink Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Red Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Pink Brown Black Pink Brown Brown Pink Black Brown Pink Yellow\nBlack Black Orange Black Black Orange Orange Black Black Orange Black Black\nBlue Black Yellow Red Black Green Green Black Red Yellow Black Blue\nPurple Green Purple Black Black Black Black Black Black Purple Green Purple\nBlack Orange Yellow Black Orange Black Black Orange Black Yellow Orange Black\nPink Black Black Purple Black Black Black Black Purple Black Black Pink\nBlack Black Black Pink Black Black Black Black Pink Black Black Black\nBlack Black Red Black Black Red Red Black Black Red Black Black\n\nOutput:\nYellow Pink Brown Black Pink Brown Brown Pink Black Brown Pink Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Orange Orange Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Yellow Red Black Green Green Black Red Yellow Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Green Purple Black Black Black Black Black Black Purple Green Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Yellow Black Orange Black Black Orange Black Yellow Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Purple Black Black Black Black Purple Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Red Red Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Red Black Red Red Black Red Black Black\nBrown Black Black Brown Brown Brown Brown Black Black Brown\nPurple Pink Orange Black Green Green Black Orange Pink Purple\nBlack Black Orange Blue Purple Purple Blue Orange Black Black\nBlue Black Blue Purple Black Black Purple Blue Black Blue\nGray Pink Black Black Black Black Black Black Pink Gray\nYellow Black Black Black Black Black Black Black Black Yellow\n\nOutput:\nBlack Black Red Black Red Red Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Brown Brown Brown Brown Black Black Brown Black Black Black Black Black Black Black Black Black Black\nPurple Pink Orange Black Green Green Black Orange Pink Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Blue Purple Purple Blue Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Blue Purple Black Black Purple Blue Black Blue Black Black Black Black Black Black Black Black Black Black\nGray Pink Black Black Black Black Black Black Pink Gray Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Red Black Blue Pink Black Pink Blue Black Red Black\nGray Black Black Yellow Green Black Green Yellow Black Black Gray\nPurple Black Brown Gray Black Black Black Gray Brown Black Purple\nOrange Gray Black Black Brown Black Brown Black Black Gray Orange\nBrown Black Black Black Black Black Black Black Black Black Brown\nBlue Black Black Black Orange Black Orange Black Black Black Blue\nBrown Blue Yellow Black Black Black Black Black Yellow Blue Brown\n\nOutput:\nBlack Red Black Blue Pink Black Pink Blue Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Yellow Green Black Green Yellow Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Brown Gray Black Black Black Gray Brown Black Purple Black Black Black Black Black Black Black Black Black Black Black\nOrange Gray Black Black Brown Black Brown Black Black Gray Orange Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Orange Black Orange Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBrown Blue Yellow Black Black Black Black Black Yellow Blue Brown Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Black Black Black Black Black Black Black Gray\nBlue Black Gray Black Black Black Gray Black Blue\nBlack Orange Black Purple Black Purple Black Orange Black\nYellow Black Pink Black Black Black Pink Black Yellow\nBlue Black Black Brown Black Brown Black Black Blue\nPurple Black Purple Black Black Black Purple Black Purple\nRed Green Black Black Black Black Black Green Red\nPurple Black Red Brown Black Brown Red Black Purple\nBlack Black Blue Black Black Black Blue Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlue Black Gray Black Black Black Gray Black Blue Black Black Black Black Black Black Black Black Black\nBlack Orange Black Purple Black Purple Black Orange Black Black Black Black Black Black Black Black Black Black\nYellow Black Pink Black Black Black Pink Black Yellow Black Black Black Black Black Black Black Black Black\nBlue Black Black Brown Black Brown Black Black Blue Black Black Black Black Black Black Black Black Black\nPurple Black Purple Black Black Black Purple Black Purple Black Black Black Black Black Black Black Black Black\nRed Green Black Black Black Black Black Green Red Black Black Black Black Black Black Black Black Black\nPurple Black Red Brown Black Brown Red Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Pink Pink Pink Pink Brown Brown Brown Brown Brown Black Black Black\nBlack Pink Pink Pink Pink Brown Brown Brown Brown Brown Black Black Black\nBlack Pink Pink Pink Pink Brown Brown Brown Brown Brown Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Blue Blue Blue Blue Black Black Orange Orange Orange Orange Black\nBlack Red Red Red Red Red Black Orange Orange Orange Orange Black\nBlack Red Red Red Red Red Black Orange Orange Orange Orange Black\nBlack Red Red Red Red Red 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 Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Red Red Red Red Black Green Green Green Green Black\nBlack Black Red Red Red Red Black Green Green Green Green Black\nBlack Black Red Red Red Red Yellow Yellow Yellow Black Black Black\nBlack Black Red Red Red Red Yellow Yellow Yellow Black Black Black\nBlack Black Red Red Red Red Yellow Yellow Yellow Black Black Black\nBlack Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple 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 Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow 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 Gray Gray Gray Gray Black Black Black\nBlack Brown Brown Brown Brown Black Black Gray Gray Gray Gray Black Black Black\nBlack Brown Brown Brown Brown Black Black Gray Gray Gray Gray Black Black Black\nBlack Brown Brown Brown Brown Black Black Gray Gray Gray Gray Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Blue Black Black\nBlack Black Red Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Green Black Black\nBlack Black Green Black Black\nRed Red Green Red Red\nBlack Black Green Black Black\nBlack Black Green Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Blue Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Green Black Black\nBlack Black Green Black Black\nRed Red Green Red Red\nBlack Black Green Black Black\nBlack Black Green Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Blue Black Black\nBlack Black Black Black Black\nBlack Black Red Black Black\n\nOutput:\nBlack Black Green Black Black\nBlack Black Green Black Black\nRed Red Green Red Red\nBlack Black Green Black Black\nBlack Black Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Blue Black Black\nBlack Black Red Black Black\nBlack Black Red Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Green Black Black\nBlack Black Green Black Black\nRed Red Green Red Red\nBlack Black Green Black Black\nBlack Black Green Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Blue Blue\nBlack Black Black Black Black\nGray Gray Gray Gray Gray\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue\nBlue Black Black Black Blue Black Black Black Blue Black Black Black Blue Black Black Black Blue Black Black\nBlue Black Black Black Blue Black Black Black Blue Black Black Black Blue Black Black Black Blue 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\nGray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray\nGray Black Black Black Gray Black Black Black Gray Black Black Black Gray Black Black Black Gray Black Black\nGray Black Black Black Gray Black Black Black Gray Black Black Black Gray Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Red Red Red Red\nBlack Black Black Black Black\nGray Gray Gray Gray Gray\nBlack Black Black Black Black\nPurple Purple Purple Purple Purple\n\nOutput:\nRed Red Red Black Red Red Red Black Red Red Red Black Red Red Red Black Red Red Red\nRed Black Black Black Red Black Black Black Red Black Black Black Red Black Black Black Red Black Black\nRed Black Black Black Red Black Black Black Red Black Black Black Red Black Black Black Red 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\nGray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray Black Gray Gray Gray\nGray Black Black Black Gray Black Black Black Gray Black Black Black Gray Black Black Black Gray Black Black\nGray Black Black Black Gray Black Black Black Gray Black Black Black Gray Black Black Black Gray 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\nPurple Purple Purple Black Purple Purple Purple Black Purple Purple Purple Black Purple Purple Purple Black Purple Purple Purple\nPurple Black Black Black Purple Black Black Black Purple Black Black Black Purple Black Black Black Purple Black Black\nPurple Black Black Black Purple Black Black Black Purple Black Black Black Purple Black Black Black Purple Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nRed Red Red Red Red\nBlack Black Black Black Black\nBlack Black Black Black Black\nGreen 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\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\nRed Red Red Black Red Red Red Black Red Red Red Black Red Red Red Black Red Red Red\nRed Black Black Black Red Black Black Black Red Black Black Black Red Black Black Black Red Black Black\nRed Black Black Black Red Black Black Black Red Black Black Black Red Black Black Black Red 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\nGreen Green Green Black Green Green Green Black Green Green Green Black Green Green Green Black Green Green Green\nGreen Black Black Black Green Black Black Black Green Black Black Black Green Black Black Black Green Black Black\nGreen Black Black Black Green Black Black Black Green Black Black Black Green Black Black Black Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black\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```\nYellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Black Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black\nYellow Black Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Orange Black Black Black Red Black\nBlack Black Black Black Black Black Black Red\nYellow Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Gray Black\nBlack Black Pink Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Orange Black Black Black Red Black\nBlack Black Black Black Black Black Black Red\nYellow Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Gray Black\nBlack Black Pink Black Black Black Black Yellow\nBlack Black Pink Black Black Black Black Yellow\nBlack Black Black Black Black Black Gray Black\nYellow Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Red\nBlack Black Orange Black Black Black Red Black\n\n\nExample 2\nInput:\nBlack Orange Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Green\nBlack Black Black Green Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Orange Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Green\nBlack Black Black Green Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Brown Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Green\nBlack Orange Black Black Green Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Purple Gray Pink Black\nBrown Black Pink Black Black Black Red Red Black\nBlack Gray 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\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Purple Gray Pink Black\nBrown Black Pink Black Black Black Red Red Black\nBlack Gray Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Gray Green Black Black Black Black Black Black\nBrown Black Pink Black Black Black Red Red Black\nBlack Black Black Black Black Purple Gray Pink Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Red Green Black Black Green\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Red Green Black Black Green\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Black Black Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Orange Black Black Black Purple Black\nBlack Black Black Black Blue Black Black Black Black Orange Black Black\nBlack Black Black Purple Brown Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Brown Black Black Black Pink Black Black Black Black Black\nBlack Black Brown Black Black Black Pink Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink\nBlack Black Brown Black Black Black Pink Pink Pink Pink Pink Pink\nBlack Black Brown Orange Orange Orange Orange Orange Orange Pink Purple Purple\nBlack Black Brown Blue Blue Blue Orange Orange Orange Orange Purple Black\nBlack Black Brown Purple Brown Brown Orange Black Black Orange Pink Pink\nBlack Black Brown Purple Brown Black Orange Black Black Orange Pink Black\n\n\nExample 2\nInput:\nBlack Yellow Black Black Black Purple Orange Black Gray Black\nBlack Black Black Green Black Black 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 Blue Black\nGreen Black Brown Black Black Black Black Black Black Brown\nBlack Black Black Yellow Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Purple Orange Orange Gray Gray\nGreen Yellow Green Green Green Purple Gray Gray Gray Black\nGreen Yellow Brown Green Black Purple Gray Black Gray Black\nGreen Yellow Brown Green Black Purple Gray Black Gray Black\nGreen Yellow Brown Green Black Purple Gray Blue Blue Blue\nGreen Yellow Brown Green Black Purple Gray Black Blue Brown\nGreen Yellow Brown Yellow Yellow Purple Gray Black Blue Brown\n\n\nExample 3\nInput:\nPurple Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Purple Blue Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Yellow\n\nOutput:\nPurple Purple Purple Purple Purple Purple Green Green Green Green Green\nPurple Black Black Brown Black Black Green Black Black Black Green\nPurple Black Black Brown Black Black Green Black Black Black Green\nPurple Brown Brown Brown Brown Brown Green Black Black Black Green\nPurple Black Black Brown Black Black Green Green Green Green Green\nPurple Black Black Brown Purple Purple Purple Blue Blue Gray Green\nPurple Black Black Brown Black Black Purple Blue Black Gray Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPink Black Black Black Black Pink Black Black Brown\nBlack Black Black Black Blue Pink Black Black Red\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Brown Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Black Black Black Black Gray Black Black Brown\nPink Pink Pink Pink Pink Pink Pink Pink Brown\nPink Blue Blue Blue Blue Pink Pink Pink Red\nPink Black Black Purple Blue Pink Blue Blue Red\nPink Black Black Purple Blue Pink Blue Black Red\nPink Purple Purple Purple Blue Pink Brown Brown 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:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nGray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink\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 Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input 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 Pink Pink Pink Pink Pink Pink\nPink Pink Black Pink Pink Pink Pink Pink Pink\nPink Pink Black Pink Pink Pink Pink Pink Pink\nPink Pink Black Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black\nPink Pink Black Pink Pink Pink Pink Pink Pink\nPink Pink Black Pink Pink Pink Pink Pink Pink\nPink Pink Black Pink Pink Pink Pink Pink Pink\nPink Pink Black Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Green Green Blue Blue Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Green Black Green Blue Black\nBlack Blue Blue Blue Blue Black Black Black Green Green Green Black Black Green Green Black Black\nBlack Black Green Green Black Black Black Black Green Blue Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Blue Blue Purple Black Gray Gray Black Black Black Black Purple Blue Black Black Black\nBlack Orange Orange Orange Orange Black Gray Gray Black Black Black Black Brown Blue Blue Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Brown Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Gray Gray Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Green Gray Gray Blue Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Green Gray Gray Blue Black\nBlack Blue Blue Blue Blue Black Black Black Green Green Green Black Black Green Green Black Black\nBlack Black Green Green Black Black Black Black Green Blue Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Blue Blue Purple Black Gray Gray Black Black Black Black Purple Blue Black Black Black\nBlack Orange Orange Orange Orange Black Gray Gray Black Black Black Black Brown Blue Blue Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Brown Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Purple Purple Black Black Black Black Blue Black Black Black Black Black Black\nBlack Green Purple Purple Black Black Black Orange Orange Blue Black Black Black Black Black\nBlack Black Blue Black Black Black Black Orange Orange Blue Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Blue Black Black Purple Yellow Black Black\nGray Gray Gray Black Brown Brown Black Black Black Black Black Purple Purple Black Black\nGray Gray Gray Black Brown Brown Black Black Black Black Black Purple Yellow Black Black\nGray Gray Gray Black Brown Brown Black Black Black Black Black Black Black Black Black\nGray Gray Gray 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 Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Blue Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Green Purple Purple Black Black Black Black Blue Black Black Gray Gray Gray Black\nBlack Green Purple Purple Black Black Black Orange Orange Blue Black Black Black Black Black\nBlack Black Blue Black Black Black Black Orange Orange Blue Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Blue Black Black Purple Yellow Black Black\nGray Gray Gray Black Brown Brown Black Black Black Black Black Purple Purple Black Black\nGray Gray Gray Black Brown Brown Black Black Black Black Black Purple Yellow Black Black\nGray Gray Gray Black Brown Brown Black Black Black Black Black Black Black Black Black\nGray Gray Gray 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 Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Yellow Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Brown Pink\nBlack Black Black Black Black Gray Gray Black Black Black Black Red Brown Pink\nBlack Black Black Black Black Gray Gray Black Black Black Black Red Brown Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Blue Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Orange Yellow Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Brown Pink\nBlack Black Black Black Black Gray Gray Black Black Black Black Red Brown Pink\nBlack Black Black Black Black Gray Gray Black Black Black Black Red Brown Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Gray Gray Gray Gray\nBlack Black Black Black Purple Blue Purple Black Gray Gray Gray Gray\nBlack Black Black Black Purple Green Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Pink Pink Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on 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 Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Purple Blue Purple Black Gray Gray Gray Gray\nBlack Black Black Black Purple Green Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Pink Pink Black Black Black\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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\nPink Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Pink Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Pink Black Pink Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Pink Pink Pink Black Pink\nBlack Black Pink Black Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Pink Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Yellow Black Yellow Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Yellow Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black\nYellow Black Black Black Black Black Black Yellow 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 Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Brown\nBlack Black Black Black Brown Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Pink Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Pink Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black\nBlack Black Black Pink Purple Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Blue Black\nPurple Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Orange Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black\nBlack Black Black Pink Purple Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black\nYellow Yellow Black Black Black Black Blue Black\nRed Yellow Black Black Black Yellow Brown Yellow\nYellow Yellow Black Black Black Yellow Red Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Yellow Black Black Black Blue Black\nRed Black Black Black Black Black Yellow\nBrown Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOrange Black Black Black Black Black Black\nPink Black Black Black Brown Black Black\nBlack Black Black Black Black Green Black\nBlue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nYellow Yellow Black Black Black Blue Yellow\nRed Yellow Black Black Black Yellow Red\nRed Orange Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black\nRed Yellow Black Black Black Black Black\nRed Yellow Black Black Brown Black Black\nYellow Yellow Black Black Black Green Black\nRed Yellow Black Black Black Black Black\n\n\nExample 3\nInput:\nBrown Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Blue Black Black Black Black Gray\nBlack Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Green Black Black\nBlack Black Purple Black Black Red Black\n\nOutput:\nRed Yellow Black Black Black Yellow Red\nYellow Yellow Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow\nBlack Blue Black Black Black Yellow Red\nBlack Black Black Black Black Yellow Yellow\nBlack Black Black Orange Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Yellow Yellow Yellow Green Yellow Yellow\nBlack Yellow Red Yellow Yellow Red Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Gray Red Black Black\nBlack Black Green Black Green Black Black Brown Brown\nOrange Black Black Black Black Gray Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nPink Purple Black Black Black Black Purple Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Red Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black\nYellow Purple Black Black Black Black Black Black Black\nRed Yellow Black Black Black Black Black Green Black\nYellow Yellow Black Black Black Gray Red Yellow Yellow\nYellow Yellow Green Black Green Black Black Brown Red\nRed Yellow Black Black Black Gray Black Yellow Yellow\nYellow Yellow Yellow Blue Black Yellow Yellow Yellow Black\nRed Red Yellow Black Black Yellow Red 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\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 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 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 Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange 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 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 Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Red Red\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Green Green Green\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Green Green Green\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Green Green Green\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Red Red Red Red Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\n\nOutput:\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Red Purple Purple Purple Purple Green Green Green\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Green Green Green\nBlack Black Black Black Black Black Black Black Red Red Red Red Black Green Green Green\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Red Red Red Red Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange 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 Green Green Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Green Green Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Green Green Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\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 Green Green Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Green Green Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Green Green Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Gray Gray Gray Green Green Black\nBrown Brown Brown Brown Brown Black Black Black Black Black Black Green Green Black\nBrown Brown Brown Brown Brown Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Green Green Green Green Green Black Black Pink Pink Pink Pink Pink\nBlack Black Green Green Green Green Green Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on 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 Pink Pink Pink Pink Pink\nBlack Black Green Green Green Green Green Black Black Pink Pink Pink Pink Pink\nBlack Black Green Green Green Green Green Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Green Green Green Green Green Purple Purple Black Black\nBlack Black Black Black Black Green Green Green Green Green Purple Purple Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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\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 Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Orange Black Black Orange Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Orange Black Black Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange 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 Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Orange Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black 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 Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray 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 Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Gray Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black 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 Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack 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 Black Black Black Black Black Black 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 Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink 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 Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\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 Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack 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\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 Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack 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:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Red Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black 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 Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue 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 Black 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 Black 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 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Blue Blue Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black 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 Black Red Black\nBlack Black Black Black Blue Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue 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 Blue Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Black\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 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 Black Black Black Black\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 Red Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue 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\nBlack Black Black Black Black Black Black Black Black Red Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue 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\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 Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Brown Yellow Black Black Black\nGreen Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nGreen Orange Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Yellow Pink Yellow Black\nBlack Black Black Black Brown Pink Brown Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\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 Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Pink Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Yellow 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Blue Yellow Blue Black Black\nBlack Black Black Black Black Black Black Black Green Orange Green Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Pink Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Brown Orange Brown Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Orange Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack 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 Blue Black Blue Black Black Black Black Black\nBlack Black Black Black Pink Blue Black Black Black Black Black\nBlack Black Black Blue Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Brown Orange Brown Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Brown Pink Brown Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Purple Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Black\nBlack Orange Pink Orange Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Gray Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Gray Orange Orange Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Orange Orange Brown Brown Purple Purple Black\nBlack Black Black Black Black Gray Brown Brown Brown Brown Purple Purple Black\nBlack Black Black Black Black Gray Black Gray Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Gray Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Blue Blue Blue Black Black Black Black\nBlack Black Black Black Gray Blue Blue Blue Black Black Black Black\nBlack Black Black Black Gray Blue Blue Blue Black Black Black Black\nBlack Black Black Black Gray Blue Blue Blue Gray Gray Gray Gray\nBlack Black Black Black Gray Black Black Gray Blue Blue Blue Black\nBlack Black Black Black Black Black Black Gray Blue Blue Blue Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Gray Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Gray Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Gray Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Gray Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Gray Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Gray Orange Orange Orange Orange Black Black Black Black Black\nBlack 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\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 Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Black Black Gray Brown Brown Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Gray Brown Brown Black\nBlack Black Black Black Gray Black Black Black Black Black Gray Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Gray Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Gray Green Green Black Black Black Black Black Black Black Black\nBlack 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on 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 Gray Gray Gray Gray Black Black Gray Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Black Black Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Gray Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Black Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Black Black Black Yellow Black Yellow Black Black Black Yellow Black Black\nYellow Black Black Black Yellow Black Yellow Black Black Black Yellow Black Black\nYellow Black Black Black Yellow Black Yellow Black Black Black Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Black Black Yellow Black Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Black Black Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Black\nBlue Black Black Black Blue Black Blue Black Black Black Blue Black Black\nBlue Black Black Black Blue Black Blue Black Black Black Blue Black Black\nBlue Black Black Black Blue Black Blue Black Black Black Blue Black Black\nBlue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Blue Blue Blue Blue Black Black Black Black\nBlue Black Black Blue Black Blue Blue Blue Blue Black Black Black Black\nBlue Black Black Blue Black Blue Blue Blue Blue Black Blue Blue Blue\nBlue Blue Blue Blue Black Blue Blue Blue Blue Black Blue Black Blue\nBlack 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Black Black Black Black Yellow Black Yellow Black Black\nYellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow\nBlack Black Yellow Black Black Black Yellow Black Black Yellow Yellow Yellow\nBlack Black Yellow Black Black Black Yellow Black Black Yellow Yellow Yellow\nBlack Black Yellow Black Black Black Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow 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 Blue Blue Blue Black Black\nBlue Blue Blue Black Black Black Black Blue Black Blue Black Black\nBlue Blue Blue Black Black Black Black Blue Blue Blue Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Blue Black Black Black Blue Black Black Blue Blue Blue\nBlack Black Blue Black Black Black Blue Black Black Blue Blue Blue\nBlack Black Blue Black Black Black Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Yellow Black Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black\nBlack 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 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 Blue Blue Blue Blue Black Black Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Black Black Blue Black Blue Black Black\nBlack Blue Blue Blue Blue Black Black Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\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 Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow\nYellow Yellow Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Yellow Yellow\nYellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Black Black Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Black Black Yellow Black Black Yellow Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Blue Blue Blue Black Blue Blue\nBlue Blue Black Blue Blue Blue Black Black Blue Blue Blue Black Blue Blue\nBlue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Black Black Blue Black Blue Black Blue\nBlue Black Blue Black Black Black Blue Black Black Blue Black Blue Blue Blue\nBlue Blue Blue Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Green Green Green Yellow Yellow\nYellow Yellow Green Green Green Yellow Yellow\nYellow Yellow Green Black Green Yellow Yellow\nYellow Yellow Blue Black Blue Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow 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\nYellow Yellow Green Green Green Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow\nYellow Yellow Green Green Green Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow\nYellow Yellow Green Black Green Yellow Yellow Yellow Yellow Green Black Green Yellow Yellow Yellow Yellow Green Black Green Yellow Yellow\nYellow Yellow Blue Black Blue Yellow Yellow Yellow Yellow Blue Black Blue Yellow Yellow Yellow Yellow Blue Black Blue Yellow Yellow\nYellow 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\nYellow 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\nYellow Yellow Green Green Green Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow\nYellow Yellow Green Green Green Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow\nYellow Yellow Green Black Green Yellow Yellow Yellow Yellow Green Black Green Yellow Yellow Yellow Yellow Green Black Green Yellow Yellow\nYellow Yellow Blue Black Blue Yellow Yellow Yellow Yellow Blue Black Blue Yellow Yellow Yellow Yellow Blue Black Blue Yellow Yellow\nYellow 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\nYellow 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\nYellow Yellow Green Green Green Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow\nYellow Yellow Green Green Green Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow\nYellow Yellow Green Black Green Yellow Yellow Yellow Yellow Green Black Green Yellow Yellow Yellow Yellow Green Black Green Yellow Yellow\nYellow Yellow Blue Black Blue Yellow Yellow Yellow Yellow Blue Black Blue Yellow Yellow Yellow Yellow Blue Black Blue Yellow Yellow\nYellow 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\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Black Brown Brown Black Green Green\nGreen Green Brown Brown Brown Brown Green Green\nGreen Green Brown Brown Brown Brown Green Green\nGreen Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green 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\nGreen Green Black Brown Brown Black Green Green Green Green Black Brown Brown Black Green Green Green Green Black Brown Brown Black Green Green\nGreen Green Brown Brown Brown Brown Green Green Green Green Brown Brown Brown Brown Green Green Green Green Brown Brown Brown Brown Green Green\nGreen Green Brown Brown Brown Brown Green Green Green Green Brown Brown Brown Brown Green Green Green Green Brown Brown Brown Brown 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\nGreen 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\nGreen 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 Black Brown Brown Black Green Green Green Green Black Brown Brown Black Green Green Green Green Black Brown Brown Black Green Green\nGreen Green Brown Brown Brown Brown Green Green Green Green Brown Brown Brown Brown Green Green Green Green Brown Brown Brown Brown Green Green\nGreen Green Brown Brown Brown Brown Green Green Green Green Brown Brown Brown Brown Green Green Green Green Brown Brown Brown Brown 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\nGreen 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\nGreen 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 Black Brown Brown Black Green Green Green Green Black Brown Brown Black Green Green Green Green Black Brown Brown Black Green Green\nGreen Green Brown Brown Brown Brown Green Green Green Green Brown Brown Brown Brown Green Green Green Green Brown Brown Brown Brown Green Green\nGreen Green Brown Brown Brown Brown Green Green Green Green Brown Brown Brown Brown Green Green Green Green Brown Brown Brown Brown 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\nGreen 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\nExample 3\nInput:\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Pink Pink Green Green\nGreen Green Pink Yellow Green Green\nGreen Green Pink Yellow Green Green\nGreen Green Pink Pink Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Pink Pink Green Green Green Green Pink Pink Green Green Green Green Pink Pink Green Green\nGreen Green Pink Yellow Green Green Green Green Pink Yellow Green Green Green Green Pink Yellow Green Green\nGreen Green Pink Yellow Green Green Green Green Pink Yellow Green Green Green Green Pink Yellow Green Green\nGreen Green Pink Pink Green Green Green Green Pink Pink Green Green Green Green Pink Pink Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Pink Pink Green Green Green Green Pink Pink Green Green Green Green Pink Pink Green Green\nGreen Green Pink Yellow Green Green Green Green Pink Yellow Green Green Green Green Pink Yellow Green Green\nGreen Green Pink Yellow Green Green Green Green Pink Yellow Green Green Green Green Pink Yellow Green Green\nGreen Green Pink Pink Green Green Green Green Pink Pink Green Green Green Green Pink Pink Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Pink Pink Green Green Green Green Pink Pink Green Green Green Green Pink Pink Green Green\nGreen Green Pink Yellow Green Green Green Green Pink Yellow Green Green Green Green Pink Yellow Green Green\nGreen Green Pink Yellow Green Green Green Green Pink Yellow Green Green Green Green Pink Yellow Green Green\nGreen Green Pink Pink Green Green Green Green Pink Pink Green Green Green Green Pink Pink Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Blue Gray Gray\nGray Gray Blue Blue Blue Gray Gray\nGray Gray Gray Gray Gray Gray Gray\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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Gray Gray\nGray Gray Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Gray Gray\nGray Gray Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Gray Gray\nGray Gray Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Blue Blue Blue Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Gray Black Black Gray Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Gray Black Black Gray Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Gray Black Black Gray Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Gray Black Black Gray Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Pink Black Black Pink Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Pink Black Black Pink Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Pink Black Black Pink Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Pink Black Black Pink Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Pink Pink Black Black Black Black Black Black Blue\nBlue Black Black Black Black Pink Purple Purple Pink Black Black Black Black Black Blue\nBlue Black Black Black Green Green Green Green Green Green Black Black Black Black Blue\nBlue Black Black Black Black Pink Purple Purple Pink Black Black Black Black Black Blue\nBlue Black Black Black Black Black Pink Pink Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue\nBlue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Blue\nBlue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue\nBlue Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Blue\nBlue Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Orange Blue Blue Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Red Red Yellow Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Green Orange Yellow Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Green Orange Yellow Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Red Red Yellow Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Orange Blue Blue Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Blue Pink Brown Red Black Black Black Black Gray\nGray Black Black Black Black Blue Green Blue Purple Black Black Black Black Gray\nGray Black Black Black Black Black Gray Purple Purple Black Black Black Black Gray\nGray Black Black Black Black Black Black Purple Blue Black Black Black Black Gray\nGray Black Black Black Black Black Gray Purple Purple Black Black Black Black Gray\nGray Black Black Black Black Blue Green Blue Purple Black Black Black Black Gray\nGray Black Black Black Black Blue Pink Brown Red Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Gray Gray Gray Gray Black Black Black Black Gray\nGray Black Black Black Black Gray Gray Gray Gray Black Black Black Black Gray\nGray Black Black Black Black Black Gray Gray Gray Black Black Black Black Gray\nGray Black Black Black Black Black Black Gray Gray Black Black Black Black Gray\nGray Black Black Black Black Black Gray Gray Gray Black Black Black Black Gray\nGray Black Black Black Black Gray Gray Gray Gray Black Black Black Black Gray\nGray Black Black Black Black Gray Gray Gray Gray Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange 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\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 Orange Orange Orange Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on 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 Pink Pink Pink Black Black Black Black\nBlack Pink Pink Pink Pink Pink 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Brown Purple Gray Pink Orange\nBrown Green Green Orange Orange Brown\nOrange Gray Orange Blue Pink Gray\nPurple Orange Yellow Purple Red Orange\nOrange Green Orange Blue Purple Green\nGreen Green Purple Yellow Gray Brown\n\nOutput:\nPink Pink Brown Brown Purple Purple Gray Gray Black Black Orange Orange\nPink Pink Brown Brown Purple Purple Gray Gray Black Black Orange Orange\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Red Red Black Black\nBlack Black Black Black Yellow Yellow Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nYellow Blue Red Green Pink\nBlue Gray Red Orange Brown\nBlue Purple Brown Gray Brown\nBrown Purple Purple Brown Pink\nOrange Blue Orange Brown Pink\n\nOutput:\nYellow Yellow Blue Blue Red Red Green Green Pink Pink\nYellow Yellow Blue Blue Red Red Green Green Pink Pink\nBlack Black Gray Gray Black Black Orange Orange Brown Brown\nBlack Black Gray Gray Black Black Orange Orange Brown Brown\nBlack Black Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nBrown Yellow Yellow Red Green Blue Orange\nPurple Pink Orange Gray Pink Blue Purple\nYellow Orange Green Purple Blue Blue Brown\nGreen Orange Gray Red Yellow Pink Purple\nOrange Gray Pink Purple Brown Yellow Brown\n\nOutput:\nBrown Brown Yellow Yellow Black Black Red Red Green Green Blue Blue Orange Orange\nBrown Brown Yellow Yellow Black Black Red Red Green Green Blue Blue Orange Orange\nPurple Purple Pink Pink Black Black Gray Gray Black Black Black Black Black Black\nPurple Purple Pink Pink Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Green Pink Brown Gray Brown\nBlue Pink Gray Pink Gray Pink Brown\nBrown Orange Pink Pink Pink Purple Brown\nYellow Blue Orange Orange Pink Gray Blue\nRed Pink Brown Red Purple Orange Blue\nOrange Yellow Purple Green Gray Orange Red\nPink Green Green Brown Orange Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Gray Gray Green Green Black Black Brown Brown Black Black Black Black\nPink Pink Gray Gray Green Green Black Black Brown Brown Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Purple Purple Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Pink Orange Orange Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Pink Orange Orange Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Pink Orange Orange Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Pink Pink Pink Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Gray Gray Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Pink Gray Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Pink Gray Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Gray Pink Gray Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\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\nGreen 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 Pink Pink Pink Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Pink Pink Pink Pink Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Pink Pink Pink Pink 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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```\nGreen 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\nGreen Green Green Green Green Green Green Green Green Pink Pink Pink Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Pink Pink Pink Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Pink Pink 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\nGreen 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\nGreen 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\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Orange Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Blue Green Green Black Black Black Black Black Black Black\nPurple Purple Purple Black Green Black Pink Pink Green Green Black Black Black Black Black Black Black\nRed Red Red Black Orange Black Black Black Purple Purple Black Black Black Black Black Black Black\nOrange Orange Orange Black Orange Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nOrange Orange Orange Black Brown Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Green Black Black Black Black Brown Black Black Black Black Black Black\nBlack Red Red Red Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Green Green Green Black Black Purple Yellow Yellow Yellow Black Black Black Black Black\nBlack Pink Pink Pink Black Black Purple Orange Orange Orange Black Black Black Black Black\nBlack Blue Blue Blue Black Black Brown Yellow Yellow Yellow 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 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Pink Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Gray Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Gray Pink Pink Brown Brown Black Black\nBlack Pink Blue Blue Green Green Black Black\nBlack Orange Blue Blue Orange Red Black Black\nBlack Orange Blue Blue Blue Brown 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 Red Red Red Red Red Black Black\nBlack Red Blue Blue Green Red Black Black\nBlack Red Blue Blue Orange Red Black Black\nBlack Red Red Red 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 Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black\nRed Red Orange Orange Orange Orange Black\nGreen Orange Orange Orange Orange Orange Black\nGreen Purple Orange Orange Orange Orange Black\nOrange Yellow Yellow Orange Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Red Red Red Red Black\nRed Red Orange Orange Orange Red Black\nRed Orange Orange Orange Orange Red Black\nRed Purple Orange Orange Red Red Black\nRed Red Red Red Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Blue Blue Black Black\nRed Purple Yellow Purple Purple Black Black\nPink Blue Yellow Green Blue Black Black\nRed Purple Yellow Red Purple Black Black\nBlack Red Pink Pink Orange Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Red Red Black Black\nRed Red Red Purple Red Black Black\nRed Blue Yellow Green Red Black Black\nRed Purple Yellow Red Red Black Black\nBlack Red Red Red Red Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Blue Yellow Blue Black Black\nBlack Black Black Black Blue Blue Blue 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 Red Red Red Black Black\nBlack Black Black Black Red Yellow Red Black Black\nBlack Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Pink Pink Pink Pink Pink Yellow\nYellow Pink Pink Pink Pink Pink Yellow\nYellow Pink Pink Pink Pink Pink Yellow\nYellow Pink Pink Pink Pink Pink 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\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green\nGreen Orange Orange Orange Orange Green\nGreen Orange Orange Orange Orange Green\nGreen Orange Orange Orange Orange Green\nGreen Orange Orange Orange Orange Green\nGreen Orange Orange Orange Orange Green\nGreen Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\nGreen Green Green Green Green Green\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue Blue Blue\nBlue Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Blue\nBlue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray\nGray Pink Pink Pink Gray\nGray Pink Pink Pink Gray\nGray Pink Pink Pink Gray\nGray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Brown Black Black Black Black Black\nBlack Brown Purple Brown Black Black Black Black Black Black\nBlack Black Brown Black Brown Black Black Black Black Black\nBlack Brown Black Brown Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Brown Black Brown Brown Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Black Black\nBlack Brown Purple Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Black Black\nBrown Brown Black Brown Brown Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Blue Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Black Black\nBlack Black Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Blue Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Red Black Black Black\nBlack Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Red Black Green Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Red Red Green Red Red Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Red Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Orange Black Black Black Black\nBlack Black Blue Blue Yellow Black Black Black Black Black\nBlack Black Blue Black Blue Orange Black Black Black Black\nBlack Black Black Black Blue Blue 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 Blue Blue Black Black Black Black Black\nBlack Black Black Orange Blue Orange Blue Black Black Black\nBlack Black Blue Blue Yellow Blue Blue Black Black Black\nBlack Black Blue Orange Blue Orange Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black 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 Purple Yellow Yellow Purple Yellow Yellow Purple\nBlack Yellow Purple Blue Purple Blue Purple Black\nBlack Yellow Blue Purple Purple Purple Yellow Black\nBlack Purple Purple Purple Purple Purple Purple Purple\nBlack Yellow Blue Purple Purple Purple Yellow Black\nBlack Yellow Purple Yellow Purple Yellow Purple Black\nBlack Purple Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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 Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Orange Yellow Yellow Orange Yellow Yellow Orange Black\nBlack Black Yellow Orange Blue Orange Blue Orange Black Black\nBlack Black Yellow Blue Orange Orange Orange Yellow Black Black\nBlack Black Yellow Gray Gray Orange Orange Orange Orange Black\nBlack Black Yellow Blue Orange Orange Orange Yellow Black Black\nBlack Black Yellow Orange Yellow Orange Yellow Orange Black Black\nBlack Black Orange Black Black Orange 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 Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Gray Yellow Yellow Gray Yellow Yellow Gray Black Black\nBlack Black Yellow Gray Blue Gray Blue Gray Black Black Black\nBlack Black Yellow Blue Gray Gray Gray Yellow Black Black Black\nBlack Black Yellow Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Yellow Blue Gray Gray Gray Yellow Black Black Black\nBlack Black Yellow Gray Yellow Gray Yellow Gray Black Black Black\nBlack Black Gray Black Black Gray 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 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```\nGray Orange Orange Orange Gray Orange Orange Black Gray\nOrange Gray Yellow Yellow Gray Yellow Orange Gray Black\nOrange Yellow Gray Blue Gray Blue Gray Orange Black\nOrange Yellow Blue Gray Gray Gray Yellow Orange Black\nOrange Yellow Gray Gray Gray Gray Gray Gray Gray\nOrange Yellow Blue Gray Gray Gray Yellow Orange Black\nOrange Orange Gray Yellow Gray Yellow Gray Orange Black\nBlack Gray Orange Orange Gray Orange Orange Gray Black\nGray Black Black Black Gray Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Red Red Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Red Red Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Red Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black 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 Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Black\nPurple Purple Purple Purple Black Black Black Black Blue Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Orange Orange\nBlack Black Black Black Purple Purple Purple Purple Orange Orange\nBlack Black Black Black Black Gray Gray Gray Orange Orange\nBlack Black Black Black Black Gray Gray Gray Orange Orange\nBlack Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Orange Black\nPurple Purple Purple Purple Black Black Black Black Blue Black\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Orange Orange\nBlack Black Black Black Purple Purple Purple Purple Orange Orange\nBlack Black Black Black Black Gray Gray Gray Orange Orange\nBlack Black Black Black Black Gray Gray Gray Orange Orange\nBlack Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black\n\n\nExample 2\nInput:\nBlack Black Black Red Red Black Black Black Black Black\nBlack Black Black Red Red Pink Pink Pink Pink Black\nBlack Black Black Red Red Pink Pink Pink Pink Black\nBlack Black Black Red Red Pink Pink Pink Pink Black\nBlack Pink Pink Pink Black Black Black Purple Purple Black\nBlack Pink Pink Pink Green Green Green Purple Purple Black\nBlack Pink Blue Pink Green Green Green Purple Purple Black\nBlack Black Black Black Green Green Green Purple Purple Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Red Black Black Black Black\nBlack Black Red Red Pink Pink Pink Pink\nBlack Black Red Red Pink Pink Pink Pink\nBlack Black Red Red Pink Pink Pink Pink\nPink Pink Pink Black Black Black Purple Purple\nPink Pink Pink Green Green Green Purple Purple\nPink Blue Pink Green Green Green Purple Purple\nBlack Black Black Green Green Green Purple Purple\nBlack Black Black Green Green Green Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Blue Black Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Orange Orange Orange Black Pink Pink Pink\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown\nBlue\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 Orange Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Orange Orange Orange Orange\nGray Gray Gray Black Black Black Orange Orange Orange Orange\nGray Gray Gray Black Black Brown Brown Black Black Black\nGray Gray Gray Black Black Brown Brown Black Black Black\nBrown Brown Brown Brown Black Black Orange Orange Orange Black\nBrown Brown Brown Brown Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Orange Orange Orange Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Orange Black\nBlack Black Blue Black\nGray Gray Gray Black\nGray Gray Gray Black\nGray Gray Gray Black\nBrown Brown Brown Brown\nBrown Brown Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green 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 Red Red Red Black Black\nRed Black Green Green Black Black Black Black Yellow Blue Black Black Black Red Red Blue Black\nRed Red Green Black Black Black Black Black Yellow Yellow Yellow Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Yellow Yellow Yellow Black Green Blue Green Black Black\nBlack Red Red Red Red Black Black Black Yellow Blue Black Black Blue Blue Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Blue 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\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 Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nYellow Black Blue Blue Black Black Black Black Yellow Red Black Black Black Yellow Yellow Red Black\nYellow Yellow Blue Black Black Black Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Blue Red Blue Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Yellow Red Black Black Red Red Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Yellow Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black 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 Red Red Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Yellow Black\nBlack Black Black Yellow Red Red Yellow Black Black Black Red Red Yellow Yellow Black\nBlack Black Black Green Blue Blue Green Black Black Black Black Black Black Black Black\nBlack Black Black Red Blue Blue Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Green Green Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Yellow Blue Black Black Black Black\nBlack Black Black Red Black Black Red Black Black Yellow Yellow Black Black Red Red\nBlack Black Black Red Green Green Red Black Black Black Green Black Black Red Red\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 Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Blue Red Red Blue Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Red Red Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Blue Blue Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Yellow Red Black Black Black Black\nBlack Black Black Yellow Black Black Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Yellow Blue Blue Yellow Black Black Black Blue Black Black Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Red Red Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Red Red Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Yellow Red Yellow Blue Blue Black Black Black\nBlack Black Black Red Green Black Black Black Red Red Yellow Blue Black Black Black Black\nBlack Black Black Green Green Black Black Black Yellow Yellow Yellow Red Black Black Black Black\nBlack Black Black Black Green Black Black Black Blue Blue Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Yellow Yellow Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Yellow Yellow Yellow Red Red Black Black Black\nBlack Black Black Yellow Blue Black Black Black Yellow Yellow Yellow Red Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Blue Black Black Black Red Red Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black 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\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 Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Green Blue Red Blue 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Red Green Red Black Black Black\nBlack Black Black Black Black Black Black Black Green Red 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 Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Blue Red Yellow Red Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Yellow Blue Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Blue Yellow Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Green Green Green Black\nBlack Black Green Green Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red 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\nBlack Black Black Black Black Black Black Black Black Black 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 Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Green Green Green Blue\nBlack Black Green Green Black Black Black Black Red Black Black Black Black Black Black Black Blue\nBlack Black Green Green Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red 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\nBlack 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 Green Green Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Red Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Red Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Red Green Green Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Red Green Green Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Red Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Red Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack 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 Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack 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 Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Red Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Red Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black Black\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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Red Black Black Black Green Green Blue\nBlack Black Black Black Black Black Black Red Black Black Black Green Green Blue\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black Black\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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Yellow Yellow Blue Black\nBlack Black Black Black Black Blue Yellow Yellow Blue Black\nBlack Black Black Black Black Blue Yellow Yellow Blue Black\nBlack Black Black Black Black Blue Yellow Yellow Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Green Green Green Green Green Green Black\nBlack Black Black Green Green Green Green Green Green Black\nBlack Black Black Green Green Green Green Green Green Black\nBlack Black Black Green Green Green Green Green Green Black\nBlack Black Black Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Green Green Green Green Blue Black\nBlack Black Black Blue Green Green Green Green Blue Black\nBlack Black Black Blue Green Green Green Green Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Green Green Green 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 Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Green Blue Black Black\nBlack Black Black Black Black Blue Green Blue Black Black\nBlack Black Black Black Black Blue Green Blue Black Black\nBlack Black Black Black Black Blue Green Blue Black Black\nBlack Black Black Black Black Blue Green Blue Black Black\nBlack Black Black Black Black Blue Blue Blue 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\nGray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on 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\nBlue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Gray Gray Gray Gray Gray Blue Black Black Black\nBlue Gray Gray Gray Gray Gray Blue Black Black Black\nBlue Gray Gray Gray Gray Gray Blue Black Black Black\nBlue Gray Gray Gray Gray Gray Blue Black Black Black\nBlue Gray Gray Gray Gray Gray Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Red Red Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Red Red Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Red Red Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Red Red Black Black Black Black Black\nBlack Orange Orange Black Red Red Black Black Black Black Black\nBlack Orange Orange Black Red Red Black Black Black Black Black\nBlack Orange Orange Black Red Red Black Black Black Black Black\nBlack Orange Orange Black 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\n\nOutput:\nBlack Black Black Black Red Red Black Black Black Black Black\nBlack Orange Orange Black Red Red Black Black Black Black Black\nBlack Orange Orange Black Red Red Black Black Black Black Black\nBlack Orange Orange Black Red Red Black Black Black Black Black\nBlack Orange Orange Black Red Red Black Black Black Black Black\nBlack Orange Orange Black 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Red Red Black Black Black Black Black Black\nBlack Pink Pink Black Red Red Black Black Black Black Black Black\nBlack Pink Pink Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Pink Pink Black Red Red Black Black Black Black Black Black\nBlack Pink Pink Black Red Red Black Black Black Black Black Black\nBlack Pink Pink Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Red Red Red Black Black Black Black Black\nBlack Black Gray Gray Gray Black Red Red Red Black Black Black Black Black\nBlack Black Gray Gray Gray Black Red Red Red Black Black Black Black Black\nBlack Black Gray Gray Gray Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Gray Gray Gray Black Red Red Red Black Black Black Black Black\nBlack Black Gray Gray Gray Black Red Red Red Black Black Black Black Black\nBlack Black Gray Gray Gray Black Red Red Red Black Black Black Black Black\nBlack Black Gray Gray Gray Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Brown 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 Brown Black Black Black Black Black Black Black Black Black Black Black Black Blue 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 Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Brown 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 Brown Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black 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 Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\n\nOutput:\nBlack Black Black Yellow Yellow Yellow Yellow Yellow 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 Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Gray Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Brown Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Gray Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Brown Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow 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 Orange 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 Orange Orange Orange Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue 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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Green\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Pink\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on 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\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue 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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Green\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Pink\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Brown Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack 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\nBlack Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Orange Black Black Black Black Black Green 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 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 Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Blue Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Orange Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack 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 Purple 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 Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Gray Gray Gray Gray Gray 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 Gray Gray Gray Gray Gray Black Black Black Black Black Orange\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Orange 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\nBlack Black Black Black Black Black Black Black Black Blue Black Black Green Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray 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 Gray Gray Gray Gray Gray 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Gray Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Brown Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Yellow Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black 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 Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Red Red Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Red Red Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Red Red Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Red Red Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Blue Blue Blue Purple Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Blue Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\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 Brown 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue 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 Black Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue 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 Black Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Blue Blue Blue Blue 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Blue Blue Blue Blue Green Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Green Gray Gray Green Green Green Green Green Green Green Green Green Gray Gray\nGray Gray Gray Gray Green Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Green Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Green Gray Gray\nGray Gray Gray Gray Green Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\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 Purple Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Purple Gray Gray Gray Red Red Red Red Red Red Gray Gray\nGray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Purple Gray 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 Purple Gray 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\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 Purple Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Purple Gray Gray Gray Gray Gray Gray\nGray Gray Gray Purple Purple Purple Purple Red Red Red Red Red Red Gray Gray\nGray Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Purple Gray 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 Purple Gray 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:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Pink Pink Pink Pink Pink Pink Pink\nPink Pink Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Red Red Red Red Pink Pink Pink Pink Pink Pink Brown Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink\nPink Pink Red Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Purple 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Purple 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 Purple Green Green Green\nGreen 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.",
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"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Purple 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green\nGreen Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Purple Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Purple Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Purple Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Purple Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Purple Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n```",
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[
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"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
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"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black 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 Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Pink Black Black Black Black Brown\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown 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 Purple Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black 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 Pink Black Black Black Black Black\nBlack Black Black Pink 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 Black Black Black Black Black\nBlack 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 Pink Black Black Purple Black Brown\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Green Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBrown Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Pink Black Black Black Black\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 Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBrown Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black\nBlack Gray Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black\nBlack Pink Black Black Black Gray Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\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 Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Green Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Brown Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black\nGray Black Black Green Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Blue Green Black Black Black Black Black Black Blue Purple Black Black Black\nBlack Black Black Gray Black Black Black Black Pink Black Black Green Black Black Black Black\nBlack Black Orange Black Black Black Black Orange Black Black Brown Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Red Black Black\nBlack Brown Black Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Orange Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Green Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Red Brown Black Black Black Black Orange Black Black\nBlack Gray 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 Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Pink Black Black Blue\nBlack Black Black Black Black Black Pink Black Black Pink\nRed Gray Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Brown Black Black Black\nBlack Black Black Black Red Gray Black Purple Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Gray Black Yellow Black Yellow Black Black\nOrange Black Black Black Black Black Yellow Orange 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.",
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"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Pink Black Black Blue\nOrange Black Black Black Black Black Pink Red Black Pink\nRed Gray Black Black Black Black Black Gray Black Purple\nBlack Black Black Red Black Black Black Black Black Black\nBlack Gray Black Blue Black Blue Brown Black Black Black\nBlack Black Orange Black Red Gray Black Purple Black Black\nBlack Yellow Red Black Gray Black Black Black Black Black\nYellow Black Black Black Orange Brown Black Black Pink Pink\nOrange Yellow Black Gray Purple Yellow Black Yellow Black Black\nOrange Black Black Black Black Black Yellow Orange Black Black\nBlack Black Black Black Black Black Black Purple Pink Blue\n```",
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