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{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Green Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Green Black Black Black Red 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 Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red 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 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 Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\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 Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red 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 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 Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Red Red Red Red 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 Black Black 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 Blue Blue 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 Blue Blue Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red 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\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Red Red 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\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Pink Black Purple Purple Purple Purple Black\nBlack Black Black Black Pink Black Black Black Black Black Pink Black Purple Black Black Purple Black\nBlack Black Black Black Pink Black Black Black Black Black Pink Black Purple Black Black Purple Black\nBlack Black Black Black Pink Black Black Black Black Black Pink Black Purple Black Black Purple Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Purple Black Black Purple Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Blue Blue Blue Blue Blue Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Blue Blue Blue Blue Blue Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Blue Blue Blue Blue Blue Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Blue Blue Blue Blue Blue Pink Black Purple Purple Purple Purple Black\nBlack Black Black Black Pink Blue Blue Blue Blue Blue Pink Black Purple Blue Blue Purple Black\nBlack Black Black Black Pink Blue Blue Blue Blue Blue Pink Black Purple Blue Blue Purple Black\nBlack Black Black Black Pink Blue Blue Blue Blue Blue Pink Black Purple Blue Blue Purple Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Purple Blue Blue Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Blue Red Red Red Red Red Red Black\nBlack Blue Black Black Black Black Black Blue Red Black Black Black Black Red Black\nBlack Blue Black Black Black Black Black Blue Red Black Black Black Black Red Black\nBlack Blue Blue Blue Blue Blue Blue Blue Red Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Black\nBlack Black Black Black Black Black Black Black Red Blue Blue Blue Blue Red Black\nBlack Black Black Black Black Black Black Black Red Blue Blue Blue Blue 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 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Blue Blue Blue Blue Blue Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Blue Blue Blue Blue Blue Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black 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```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Gray\nBlack Black Black Black Black Black Gray Blue Blue Blue Blue Blue Blue Gray\nBlack Black Black Black Black Black Gray Blue Blue Blue Blue Blue Blue Gray\nBlack Black Black Black Black Black Gray Blue Blue Blue Blue Blue Blue Gray\nBlack Black Black Black Black Black Gray Blue Blue Blue Blue Blue Blue Gray\nBlack Black Black Black Black Black Gray Blue Blue Blue Blue Blue Blue Gray\nBlack Black Black Black Black Black Gray Blue Blue Blue Blue Blue Blue Gray\nBlack Black Black Black Black Black Gray Blue Blue Blue Blue Blue Blue Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Gray Black Pink Blue Blue Black Black Black Red Blue Red Black Black Black\nBlack Black Black Black Gray Gray Gray Pink Pink Black Black Black Black Yellow Blue Yellow Black Black Black\nBlack Black Black Black Blue Green Black Pink Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Red Red Red Blue 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Orange Blue Orange Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Blue Black Black Black\nBlack Black Black Black Black Blue Black Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Black Blue Blue Blue 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 Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Green Blue Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Black Black Purple Purple Purple Red Purple Purple Black\nBlack Black Yellow Gray Gray Yellow Gray Red Black Red Gray Black\nBlack Black Red Gray Gray Red Yellow Yellow Black Yellow Yellow Black\nBlack Black Red Green Green Red Black Black Black Black Black Black\nBlack Black Black Blue Purple Black Black Purple Blue Black Black Black\nBlack Black Black Gray Purple Black Black Purple Gray Black Black Black\nBlack Black Black Black Purple Blue Blue Purple Black Black Black Black\nBlack Black Black Purple Purple Pink Pink Purple Purple Black Black Black\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 Blue Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Blue Blue Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Blue Blue Black Black Black\nBlack Black Black Blue Blue Black Black Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Blue Black Black Black Black Black Black Black Black\nBlack Black Red Yellow Orange Yellow Red Black Black Black Black Black Black Black\nBlack Black Red Brown Black Brown Red Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Blue Green Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Purple Black Black Black Black Black Black Black Black Black\nBlack Black Blue Green Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Pink Brown Orange Orange Brown Pink Black Black\nBlack Black Black Black Black Black Black Pink Orange Orange Pink Black Black Black\nBlack Black Black Black Black Black Purple Pink Orange Orange Pink Purple Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Yellow Purple Purple Yellow Gray 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 Blue Black Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Blue Blue Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Blue Blue Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black 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 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Brown Brown Brown Black Orange Orange Orange Black Black\nBlack Brown Brown Brown Black Orange Orange Orange Black Black\nBlack Brown Brown Brown Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Orange Orange Orange Black Black\nBlack Brown Brown Brown Yellow Orange Orange Orange Black Black\nBlack Brown Brown Brown Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\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 Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\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 Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Yellow Yellow Yellow Black\nBlack Black Brown Brown Brown Black Yellow Yellow Yellow Black\nBlack Black Brown Brown Brown Black Yellow Yellow 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Yellow Yellow Yellow Black\nBlack Black Brown Brown Brown Yellow Yellow Yellow Yellow Black\nBlack Black Brown Brown Brown Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Blue 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 Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Black Red Black Black Black Black Blue Blue\nBlack Black Black Red Black Red Black Black Black Black Blue Blue\nBlack Black Black Red Red Red Red Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Red Black Black Black Black Blue\nBlack Black Black Red Red Black Black Black Black Blue\nBlack Red Black Red Black Black Black Black Black Blue\nBlack Red Red Red Red Black Black Black Black Blue\nBlack Red Red Red 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Blue\nBlack Red Red Red Red Black Black Black Black Black Blue\nBlack Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\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 Blue Blue\nBlack Black Black Red Red Black Black Blue Blue\nBlack Black Black Black Red Black Black Blue Blue\nRed Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Green Blue Green Blue\nGreen Blue Green Blue Green\nBlue Green Blue Green Blue\nGreen Blue Green Blue Green\nBlue Green Blue Green Blue\nGreen Blue Green Blue Green\nBlue Green Blue Green Blue\nGreen Blue Green Blue Green\n\nOutput:\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\n\n\nExample 2\nInput:\nBlue Green Blue Green\nGreen Blue Green Blue\nBlue Green Blue Green\nGreen Blue Green Blue\nBlue Green Blue Green\nGreen Blue Green Blue\nBlue Green Blue Green\n\nOutput:\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\n\n\nExample 3\nInput:\nBlue Green Blue Green Blue\nGreen Blue Green Blue Green\nBlue Green Blue Green Blue\nGreen Blue Green Blue Green\nBlue Green Blue Green Blue\nGreen Blue Green Blue Green\nBlue Green Blue Green Blue\n\nOutput:\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlue Green Blue\nGreen Blue Green\nBlue Green Blue\nGreen Blue Green\nBlue Green Blue\nGreen Blue Green\nBlue Green Blue\nGreen Blue Green\nBlue Green Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nYellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Black Black Black Black\nOrange Orange Orange Black Black Black Black\nOrange Orange Orange Black Black Black Black\nOrange Orange Orange Black Black Black Black\nOrange Orange Orange Black Black Black Black\nOrange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black\nBlack Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nGray Gray Black Black Black Black Black\nGray Gray Black Black Black Black Black\nGray Gray Black Black Black Black Black\nGray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black 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\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Brown Black\nBlack Black Black Black Black Black Black Brown Black Brown Black\nBlack Black Black Black Black Black Black Brown Black Brown Black\n\n\nExample 3\nInput:\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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 Red Red Red Red Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Red Red Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Orange 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.",
"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 Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Orange Orange Orange Black Black\nBlack Black Black Orange Black Orange Orange Orange Black Black\nBlack Black Black Orange Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Red Red Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Pink\nGreen Green Green Green Green Gray Green Green Green Green Green Green Green\nGreen 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\nGreen Blue Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nRed Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Green Green Gray Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Orange Green Green\nGreen Green Green Green Green Green Green Green Green Green Purple\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Red Red Red Red Green Green Orange Green\nGreen Green Green Red Red Red Red Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Blue\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Pink Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen 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 Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Brown Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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:\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 Black Black Black Black\nBlack 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 Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Purple Purple Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Purple Purple 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\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 Purple Purple Black\nBlack Black Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Purple Purple 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\n\n\nExample 2\nInput:\nBlack Black Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black\nBlack Black Purple Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nYellow Yellow Yellow Black Black Black Black Brown Brown Brown Brown Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nYellow Yellow Yellow Purple Purple Purple Purple Brown Brown Brown Brown Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Black Black\nOrange Orange Black Black Black Pink Pink Black Black\nOrange Orange Black Black Black Pink Pink Black Black\nOrange Orange Black Black Black Pink Pink Black Black\nOrange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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 Pink Pink Black Black\nOrange Orange Purple Purple Purple Pink Pink Black Black\nOrange Orange Black Black Black Pink Pink Black Black\nOrange Orange Black Black Black Pink Pink Black Black\nOrange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Gray Gray Gray Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Gray Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Gray Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black 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 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 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\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Purple Purple Purple Black Black Black Gray Gray Black Black Black Black Black\nGreen Green Green Purple Purple Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Orange Orange Orange Purple Black Pink Pink Black Black\nOrange Orange Orange Black Black Black Red Black Orange Orange Orange Orange Black Pink Pink Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Green Green Green Black Red Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Green Black Black Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Green Green Purple Purple Purple Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Green Green Purple Purple Purple Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Green Green Purple Purple Purple Black Orange Orange Orange Purple Black Black Black Black Black\nGreen Green Green Purple Purple Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Red Black Black Black Green Green Green Black Black Black Black Black Black\nPink Pink Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Orange Black Black Black Black Black Gray Gray Black\nBlack Blue Blue Blue Blue Black Black Black Black Green Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Green Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Blue Blue Yellow Yellow Yellow Yellow Blue Brown Brown Black Black Black Black Black\nBlack Blue Blue Yellow Yellow Yellow Yellow Blue Brown Brown Black Black Black Black Black\nBrown Blue Blue Black Black Black Black Blue Brown Brown Black Black Black Black Black\nBrown Blue Blue Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Black Green Black Black Black Black\nBlack Blue Blue Yellow Yellow Blue Blue Blue Blue Brown Green Black Black Black Black\nBlack Blue Blue Yellow Yellow Blue Blue Blue Blue Brown Brown Brown Brown Black Black\nBrown Blue Blue Black Black Blue Blue Blue Blue Brown Black Black Black Black Black\nBrown Blue Blue Black Black Black Black Blue Black Black Black Black Black Black Black\nOrange Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Orange Brown Orange Orange Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Orange Brown Orange Orange Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Black Black Black Brown Black Black Green Green Green Blue Blue Black Black\nBlack Black Yellow Black Black Red Red Red Red Green Green Green Blue Blue Black Black\nBlack Black Yellow Black Black Orange Brown Orange Orange Green Green Green Black Black Black Black\nOrange Orange Orange Orange Black Orange Brown Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Green Green Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nPurple Black Black Black Black Orange Blue Blue Blue Blue Black Black Black Black\nPurple Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Purple Purple Black Black\nBlack Black Black Black Black Black Blue Blue Blue Pink Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Pink Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Brown Black Purple Purple Gray Gray\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Black Black Black Black Black Black Black Black Black Gray Gray Purple Black\nGray Black Black Black Black Black Black Black Black Black Gray Gray Purple Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Purple Purple Black Black Black Black Black Black Black\nBlack Blue Blue Blue Pink Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Pink Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Gray Gray Black Black Black Black Black\nBrown 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\nBlack Black Black Black 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 Black Brown Brown Black Black Black Black Black Black\nPurple Purple Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Purple Black Black Orange Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\n\n\nExample 2\nInput:\nPink Black Black Black Black Black Black Orange Orange Black\nPink Pink Black Black Black Black Black Black Orange Black\nBlack Black Pink Red Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black\nBlack Red Black Black Orange Orange 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\n\nOutput:\nPink\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\nBlack\n\n\nExample 3\nInput:\nBlue Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black\nBlack Red Red Black Red Red Gray Black Black Black\nBlack Black Red Black Black Red Gray Gray 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\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack\nBlack\nBlack\nBlue\nBlack\nBlack\nBlack\nBlack\nBlack\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Black Black Black Black Black Black Black Black\nBlack Green Black Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black\nBlack Black Purple Purple Black Black Green Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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\nBlack\nBlack\nBlack\nBlack\nGreen\nBlack\nBlack\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\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 Orange Black Black Black Black Black Black\nBlack Gray Orange Orange Gray Black Black Black Black Black Black\nBlack Gray Red Red Gray Black Black Black Black Black Black\nBlack Red Yellow Yellow Red Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Red Gray Gray Orange Black Black Black Black Black\nBlack Yellow Yellow Red Orange Orange Black Black Black Black Black\nBlack Yellow Yellow Red Orange Orange Black Black Black Black Black\nBlack Yellow Red Gray Gray Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nRed Brown Brown Brown Red Black Black Black Black Black Black Black Black\nGray Orange Brown Orange Gray Black Black Black Black Black Black Black Black\nGray Yellow Green Yellow Gray Black Black Black Black Black Black Black Black\nPurple Brown Blue Brown Purple Black Black Black Black Black Black Black Black\nOrange Purple Blue 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\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\nOrange Purple Gray Gray Red Black Black Black Black Black Black Black Black\nPurple Brown Yellow Orange Brown Black Black Black Black Black Black Black Black\nBlue Blue Green Brown Brown Black Black Black Black Black Black Black Black\nPurple Brown Yellow Orange Brown Black Black Black Black Black Black Black Black\nOrange Purple Gray Gray Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Blue Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Pink Brown Pink Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Pink Red Black Black Black Black Black Black Black Black\nBlack Black Black Pink Brown Blue Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black\nRed Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nPurple Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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\nPurple Purple Red Black Black Black Black Black Black Black Black Black Black Black\nPurple Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nRed Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (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 Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Pink Black Black Pink Pink Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black 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 Pink Black\nBlack Black Black Black Pink Black Black Pink Black Black Black Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Yellow Black Black Yellow Black Black Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Black Yellow Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nYellow Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Yellow\nBlack Black Yellow Black Black Yellow Black Black Black Black Yellow\nBlack Yellow Black Black Black Black Yellow Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow 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\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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Gray Gray\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGray Black Black Gray Gray 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```\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOrange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black 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\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\nOrange Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nOrange Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange 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\nOrange Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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\nOrange Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Purple Purple Purple Purple Purple Purple Purple Purple\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 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 Green Green Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow 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\nBlack Black Yellow 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\nBlack Black Yellow 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\nBlack Black Yellow 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\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray\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 Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange 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 Gray Gray Gray Red Red Black Black Gray Gray Gray Black Black\nBlack Blue Black Gray Gray Gray Gray Red Black Black Gray Gray Gray Black Black\nBlack Red Black Black Gray Gray Gray Black Black Red Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Blue Black Black Red Black Red\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Red Black Black Black Black Red Black Black Green\nBlack Green Blue Black Blue Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Red Blue Black\nBlack Black Blue Black Red Red Black Black Blue Black Red Red Black Red Black\nGray Gray Gray Gray Gray Black Black Blue Black Black Black Black Black Green Black\nGray Gray Gray Gray Gray Black Blue Black Black Black Red Green Black Black Black\nGray Gray Gray Gray Gray Black Black Red Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nRed Black Green Green Green Black Green Black Black Black Green Green Green Black Black Black\nBlue Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nRed Black Black Black Green Black Black Green Black Black Green Black Red Black Gray Gray\nBlack Black Green Black Black Red Black Black Red Black Black Black Black Black Gray Gray\nGreen Red Black Black Black Black Black Black Black Green Black Black Black Black Gray Gray\nBlack Black Green Blue Black Black Black Green Green Red Red Black Black Black Black Red\nBlack Black Black Black Red Black Black Red Black Black Red Red Black Black Green Black\nBlack Black Gray Gray Gray Black Black Black Black Green Black Black Red Red Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nRed Black Gray Gray Gray Black Red Black Red Black Black Black Gray Gray Gray Black\nGreen Green Green Black Black Black Black Red Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Red Black Black Green Red Black Black Gray Gray Gray Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray\n\n\nExample 3\nInput:\nBlue Black Black Black Black Black Black Blue Black Black Gray Gray Gray Black\nBlack Black Black Black Black Blue Gray Gray Gray Black Gray Gray Gray Black\nBlack Blue Black Black Black Black Gray Gray Gray Red Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Blue Black Black Black Black\nBlack Black Red Black Black Black Green Black Black Black Black Black Black Blue\nBlack Red Black Black Black Black Black Black Blue Blue Black Black Red Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black\nGreen Blue Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlue Blue Green Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Blue Green Black Black Black Black Blue Black Red Black Black Black\nBlue Black Black Black Red Blue Red Black Black Black Black Black Black Green\nBlack Black Black Green Blue Black Black Black Black Black Green Blue Black Red\nBlue Blue Black Black Black Blue Black Black Black Black Black Red Black Black\nGreen Black Blue Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Red Red Gray Gray Gray Blue Black Black Black Black\nBlack Black Black Black Black Blue Gray Gray Gray Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red Black Gray Gray Gray Blue Black Black Black Black Green\nBlack Gray Gray Gray Gray Gray Red Black Black Black Black Black\nBlack Gray Gray Gray Red Black Black Black Red Red Black Black\nGreen Gray Gray Gray Black Green Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Green Black Blue Black Black\nBlack Red Black Black Black Black Black Black Black Black Red Black\nBlack Black Green Black Black Gray Gray Gray Black Black Red Black\nBlack Black Red Black Black Gray Gray Gray Black Black Black Black\nBlue Black Black Black Black Gray Gray Gray Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Black Black 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 Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Pink Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Blue Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Blue Blue Blue 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 Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Blue Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Gray Blue Black Black Black Black\nBlack Black Black Black Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Blue Black Black Black Black Green Black Black Black Black Black Black Black\nBlue Gray Yellow Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Pink Purple 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\nBlack Black Black Black Black Black Black Black Blue Blue Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Gray Orange\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Black Black Black Blue Black Black Black Black Black Black\nBlack 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 Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Purple Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue 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 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 Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Black Black Black Blue Black Black Black Black Black Black\nBlack 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 Blue Black\nBlack 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\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 Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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\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 Brown 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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange 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 Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack 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\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 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 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 Red 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 Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack 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\n\nOutput:\nRed Red Red Red Blue Red Red Red Red Black Black Black Black\nRed Red Blue Blue Blue Blue Blue Red Red Black Black Black Black\nRed Blue Blue Blue Blue Blue Blue Blue Red Black Black Black Black\nRed Red Blue Blue Blue Blue Blue Blue Red Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nRed Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Black Black\nRed Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Black Black\nRed Red Blue Blue Blue Blue Red Red Red Blue Blue Blue Black\nRed Red Red Red Blue Red Red Red Red Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack 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\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 Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Red Blue Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Red Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Red Black Black Black Black Black Black\nRed Red Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Red Blue Blue Black Black Black Black\nBlue Red Blue Blue Blue Red Blue Blue Blue Black Black Black\nRed Red Blue Red Red Red Blue Blue Black Black Black Black\nBlack Black Black Blue Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Red Red Blue Red Red Red Black Black Black Black Black Black Black\nRed Blue Blue Blue Blue Red Red Black Black Black Black Black Black Black\nRed Blue Red Blue Blue Blue Red Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nRed Blue Blue Red Blue Blue Red Blue Blue Blue Black Black Black Black\nRed Blue Blue Red Blue Blue Red Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Blue Red Red Red Red Black Black Black Black Black\nRed Red Blue Blue Blue Blue Blue Red Red Black Black Black Black Black\nRed Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Black Black Black\nRed Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nRed Blue Red Red Blue Blue Blue Blue Red Blue Blue Blue Blue Black\nRed Blue Blue Blue Blue Blue Blue Blue Red Blue Blue Blue Black Black\nRed Red Blue Blue Blue Blue Blue Red Red Blue Blue Blue Black Black\nRed Red Red Red Blue Red Red Red Red Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black 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 Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Orange Yellow Yellow Yellow Yellow Yellow Orange Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black 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 Orange 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 Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange 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 Orange 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 Orange 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 Orange Yellow Yellow Yellow Yellow Yellow Orange Black Black Black Black\nBlack Black Black Black Orange Yellow Yellow Yellow Yellow Yellow Orange Black Black Black Black\nBlack Black Black Orange Orange Yellow Yellow Yellow Yellow Yellow Orange Orange Black Black Black\nBlack Black Black Black Orange Yellow Yellow Yellow Yellow Yellow Orange Black Black Black Black\nBlack Black Black Black Orange Yellow Yellow Yellow Yellow Yellow Orange 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 Orange 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 Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Brown Black Brown Black Black Brown Black Brown Black Black Brown Black Brown Black\nRed Red Brown Red Red Red Red Brown Red Red Red Red Brown Red Red\nBlack Red Yellow Red Black Black Red Yellow Red Black Black Red Yellow Red Black\nPurple Yellow Yellow Yellow Purple Purple Yellow Yellow Yellow Purple Purple Yellow Yellow Yellow Purple\nBlack Brown Black Brown Black Black Brown Black Brown Black Black Brown Black Brown Black\nRed Red Brown Red Red Red Red Brown Red Red Black Black Black Black Red\nBlack Red Yellow Red Black Black Red Yellow Red Black Black Black Black Black Black\nPurple Yellow Yellow Yellow Purple Purple Yellow Yellow Yellow Purple Black Black Black Black Purple\nBlack Brown Black Brown Black Black Brown Black Brown Black Black Black Black Black Black\nRed Red Brown Red Red Red Red Brown Red Red Red Red Brown Red Red\nBlack Red Yellow Red Black Black Red Yellow Red Black Black Red Yellow Red Black\nPurple Yellow Yellow Yellow Purple Purple Yellow Yellow Yellow Purple Purple Yellow Yellow Yellow Purple\n\nOutput:\nRed Red Brown Red\nBlack Red Yellow Red\nPurple Yellow Yellow Yellow\nBlack Brown Black Brown\n\n\nExample 2\nInput:\nPurple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple\nYellow Pink Black Black Black Black Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow\nPink Pink Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\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\nPurple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple\nYellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\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\nPurple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple\nYellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\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\nPurple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple Purple Blue Blue Purple\nYellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Yellow\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nPink Yellow Yellow Pink\nPink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Red Black Black Black Black Red Black Black Black\nRed Red Green Purple Purple Black Black Black Purple Purple\nRed Red Blue Green Blue Black Black Black Green Blue\nPink Brown Gray Orange Purple Black Black Black Orange Purple\nPink Pink Pink Orange Black Black Black Black Orange Black\nBlack Red Black Black Black Black Red Black Black Black\nRed Red Green Purple Purple Red Red Green Purple Purple\nRed Red Blue Green Blue Red Red Blue Green Blue\nPink Brown Gray Orange Purple Pink Brown Gray Orange Purple\nPink Pink Pink Orange Black Pink Pink Pink Orange Black\n\nOutput:\nRed Red Green\nRed Red Blue\nPink Brown Gray\nPink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Black Black Blue Black Black Blue Black\nBlue Yellow Blue Blue Yellow Blue Blue Yellow Blue\nBlack Blue Black Black Blue Black Black Blue Black\nBlack Blue Black Black Blue Black Black Blue Black\nBlue Yellow Black Black Black Blue Blue Yellow Blue\nBlack Blue Black Black Black Black Black Blue Black\nBlack Blue Black Black Blue Black Black Blue Black\nBlue Yellow Blue Blue Yellow Blue Blue Yellow Blue\nBlack Blue Black Black Blue Black Black Blue Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Yellow\nBlack 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:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Gray Blue Blue Purple Purple Purple Purple Pink\nPurple Purple Purple Blue Purple Blue Purple Purple Purple Purple Purple\nPurple Purple Purple Blue Blue Blue Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Red Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Gray Gray Gray Purple Purple Purple Purple Pink\nPurple Purple Purple Gray Purple Gray Purple Purple Purple Purple Purple\nPurple Purple Purple Gray Gray Gray Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Red Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Pink Pink Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Gray Pink Pink Yellow Purple Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Pink Pink Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Gray Gray Pink Yellow Purple Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Gray Gray Pink Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nGreen Green Green Green Purple Green Purple Green Green Green\nGreen Green Green Green Purple Purple Purple Green Green Green\nGreen Green Green Green Purple Purple Orange Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Purple Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Purple Green Purple Green Green Green\nGreen Green Green Green Purple Purple Purple Green Green Green\nGreen Green Green Green Purple Purple Orange Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Purple Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Orange\nGreen Green Green Green Green Green Green Green Green Orange\nGreen Green Green Green Green Green Green Green Green Orange\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Yellow Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red\nGreen Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Gray Gray Red\nRed Red Red Red Red Red Red Red Red Yellow Gray Red\nRed Red Red Red Red Red Red Red Red Gray Gray Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red Red Red\nGreen Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Gray Gray Red\nYellow Yellow Red Red Red Red Red Red Red Yellow Gray Red\nRed Yellow Red Red Red Red Red Red Red Gray Gray Red\nYellow Yellow Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack 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 Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\n\nOutput:\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Pink Purple Purple Pink Black Black Black Black Black Black Pink Brown Brown Brown\nBlack Black Black Pink Purple Purple Pink Black Black Black Black Black Black Pink Brown Brown Brown\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Pink Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Pink Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink 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\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Gray Gray Gray Black Black Black Black Black Black Red Red Red Red\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\n\nOutput:\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Orange Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Orange Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Orange Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Orange Red Red Red Red\nBlack Black Orange Orange Orange Black Black Black Black Black Orange Red Red Red Red\nBlack Orange Gray Gray Gray Orange Black Black Black Black Orange Red Red Red Red\nBlack Orange Gray Gray Gray Orange Black Black Black Black Black Orange Orange Orange Orange\nBlack Orange Gray Gray Gray Orange Black Black Black Black Black Black Orange Yellow Yellow\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Orange Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange 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 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 Brown Brown Brown Brown Black Black Red Red Red\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Red Red Red\nBlack Black Black Black Black Black Black Green Green Green Green Black Green Red Red Red\nBlack Black Black Black Black Black Green Brown Brown Brown Brown Green Green Red Red Red\nBlack Black Black Black Black Black Green Brown Brown Brown Brown Green Black Green Green Green\nBlack Black Black Black Black Black Green Brown Brown Brown Brown Green Black Black Black Black\nBlack Black Black Black Black Black Green Brown Brown Brown Brown Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green 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 Pink Pink Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Pink Pink 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 Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black\nGray Gray Gray Gray Black Black Black Black Black Black Gray Pink Pink Gray\nGray Gray Gray Gray Gray Black Black Black Black Black Gray Pink Pink Gray\nGray Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Black\nGray Gray Gray Gray Gray Black Black Black Black Black Black Black Gray Gray\nGray Gray Gray Gray Gray Black Black Black Black Black Black Gray Pink Pink\nGray Gray Gray Gray Black Black Black Black Black Black Black Gray Pink Pink\nBlack Black Black Black Black Black Black 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:\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Black Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Black Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Black Red Blue Red Blue Red Blue Black Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Black\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Black Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Black Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Black Blue Red Blue Black Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Black Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\n\nOutput:\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\n\n\nExample 2\nInput:\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Black Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Black Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Black Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Black Red Blue Red Blue Red Black Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\n\nOutput:\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\n\n\nExample 3\nInput:\nBlue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Black Blue Blue Red Blue Blue Red Blue\nRed Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red\nBlue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Black Blue Blue Red Blue\nRed Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Black Blue Red Red Blue Red\nBlue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue\nRed Blue Red Red Blue Red Red Blue Red Black Blue Red Red Blue Red Red Blue Red Red Blue Red\nBlue Red Black Blue Black Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue\nBlue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Black Blue\nRed Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red\nBlue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue\nRed Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red\nBlue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue\nRed Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red\nBlue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Black Red Blue Blue Red Blue Blue Red Blue\nBlue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue\nRed Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red\nBlue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue\n\nOutput:\nBlue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue\nRed Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red\nBlue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue\nRed Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red\nBlue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue\nRed Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red\nBlue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue\nBlue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue\nRed Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red\nBlue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue\nRed Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red\nBlue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue\nRed Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red\nBlue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue\nBlue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue\nRed Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red Red Blue Red\nBlue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue Blue Red Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Black Blue Red Blue\nRed Blue Red Blue Black Blue Red Black Red Blue Red Black Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Black Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Black Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlack Blue Red Blue Red Blue Red Blue Black Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Black Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red 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 Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red Blue Red 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 Orange Orange Black Black Black Pink Pink Pink Pink Black Black Gray Gray Gray Gray Black\nBlack Orange Orange Black Black Black Pink Pink Pink Pink Black Black Gray Gray Gray Gray Black\nBlack Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Green Green Black Pink Black Black Pink Black\nBlack Black Black Black Brown Black Black Brown Black Green Green Black Pink Pink Pink Pink Black\nBlack Black Black Black Brown Brown Brown Brown Black Green Green Black Pink Pink Pink Pink Black\nBlack Black Black Black Brown Brown Brown Brown Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack 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\n\nOutput:\nGreen 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\nGreen 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 Gray Gray Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Gray Gray Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Gray Gray Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Gray Gray Green Green Green Green Green Green\nGreen 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\nGreen 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\nGreen 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Orange Orange Orange Black Red Red Red Red Black Black\nBlack Black Blue Blue Black Black Black Orange Black Red Red Red Red Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Blue Black Blue Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack 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 Gray Gray Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Green Green Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Green Green Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Green Green Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Blue Blue Black Orange Orange Orange Black\nBlack Black Pink Black Black Black Black Blue Blue Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Orange Orange Orange Orange\nBrown Brown Brown Black Black Black Black Black Black Black Orange Orange Orange Orange\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Pink Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Pink Pink Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Brown Brown Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Brown Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Brown Brown Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray 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\nRed Red Red Black Blue Blue Black Black Black Yellow Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\n\n\nDirectly provide the output grids corresponding to the given test input 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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Gray Yellow Yellow Brown\nYellow Black Black Yellow Brown Gray\nYellow Black Black Gray Black Black\nBlack Yellow Yellow Black Gray Brown\nYellow Gray Brown Black Yellow Yellow\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Gray Yellow Yellow Brown Black Black Gray Yellow Yellow Brown\nYellow Black Black Yellow Brown Gray Yellow Black Black Yellow Brown Gray\nYellow Black Black Gray Black Black Yellow Black Black Gray Black Black\nBlack Yellow Yellow Black Gray Brown Black Yellow Yellow Black Gray Brown\nYellow Gray Brown Black Yellow Yellow Yellow Gray Brown Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Yellow Yellow Brown Black Black Gray Yellow Yellow Brown\nYellow Black Black Yellow Brown Gray Yellow Black Black Yellow Brown Gray\nYellow Black Black Gray Black Black Yellow Black Black Gray Black Black\nBlack Yellow Yellow Black Gray Brown Black Yellow Yellow Black Gray Brown\nYellow Gray Brown Black Yellow Yellow Yellow Gray Brown Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Yellow Yellow Black\nBlack Black Black Yellow Purple\nBlack Black Yellow Yellow Purple\nYellow Black Black Black Black\nYellow Black Black Purple Black\n\nOutput:\nBlack Black Yellow Yellow Black Black Black Yellow Yellow Black\nBlack Black Black Yellow Purple Black Black Black Yellow Purple\nBlack Black Yellow Yellow Purple Black Black Yellow Yellow Purple\nYellow Black Black Black Black Yellow Black Black Black Black\nYellow Black Black Purple Black Yellow Black Black Purple Black\nBlack Black Yellow Yellow Black Black Black Yellow Yellow Black\nBlack Black Black Yellow Purple Black Black Black Yellow Purple\nBlack Black Yellow Yellow Purple Black Black Yellow Yellow Purple\nYellow Black Black Black Black Yellow Black Black Black Black\nYellow Black Black Purple Black Yellow Black Black Purple Black\n\n\nExample 3\nInput:\nBlack Blue Orange Black Black\nBlue Black Orange Black Blue\nOrange Orange Black Black Blue\nBlack Blue Black Black Orange\nBlack Black Orange Orange Black\nBlue Black Black Black Black\nOrange Blue Orange Blue Blue\n\nOutput:\nBlack Blue Orange Black Black Black Black Black Blue Orange\nBlue Black Orange Black Blue Black Black Blue Black Orange\nOrange Orange Black Black Blue Black Black Orange Orange Black\nBlack Blue Black Black Orange Black Black Black Blue Black\nBlack Black Orange Orange Black Black Black Black Black Orange\nBlue Blue Orange Black Black Black Black Blue Blue Orange\nBlue Blue Orange Blue Blue Black Black Blue Blue Orange\nOrange Orange Black Black Blue Black Black Orange Orange Black\nBlack Blue Black Black Orange Black Black Black Blue Black\nBlack Black Orange Orange Black Black Black Black Black Orange\nBlue Black Black Black Black Black Black Blue Black Black\nOrange Blue Orange Blue Blue Black Black Orange Blue Orange\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 Yellow Black Blue Black Yellow Blue\nBrown Black Yellow Black Black Blue Black\nBrown Black Blue Black Yellow Black Black\nYellow Brown Black Yellow Black Black Brown\nBlack Black Blue Brown Yellow Blue Black\nBlue Yellow Black Black Black Black Black\nBlack Black Black Black Blue Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Yellow Black Blue Black Yellow Blue Black Yellow Black Blue Black Yellow Blue\nBrown Black Yellow Black Black Blue Black Brown Black Yellow Black Black Blue Black\nBrown Black Blue Black Yellow Black Black Brown Black Blue Black Yellow Black Black\nYellow Brown Black Yellow Black Black Brown Yellow Brown Black Yellow Black Black Brown\nBlack Black Blue Brown Yellow Blue Black Black Black Blue Brown Yellow Blue Black\nBlue Yellow Black Black Black Black Black Blue Yellow Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black Black Blue Black Blue\nBlack Yellow Black Blue Black Yellow Blue Black Yellow Black Blue Black Yellow Blue\nBrown Black Yellow Black Black Blue Black Brown Black Yellow Black Black Blue Black\nBrown Black Blue Black Yellow Black Black Brown Black Blue Black Yellow Black Black\nYellow Brown Black Yellow Black Black Brown Yellow Brown Black Yellow Black Black Brown\nBlack Black Blue Brown Yellow Blue Black Black Black Blue Brown Yellow Blue Black\nBlue Yellow Black Black Black Black Black Blue Yellow Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black Black Blue Black Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Black Red Red Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Red Black Black Black Black Black\nBrown Brown Brown Brown Black Red Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Red Black Black Red Black Black\nBrown Brown Brown Brown Red Red Red Black Black Black Black Black Red\nBrown Brown Brown Brown Black Black Black Black Red Black Red Red Black\nBrown Brown Brown Brown Black Black Black Red Black Black Black Black Red\nBrown Brown Brown Brown Black Black Red Red Black Black Black Black Black\nBrown Brown Brown Brown Black Red Red Red Black Black Red Black Black\nBrown Brown Brown Brown Black Black Red Black Black Black Black Red Black\nBrown Brown Brown Brown Black Black Black Black Black Black Red Black Black\nBlack Red Black Black Black Black Red Black Black Red Red Black Black\nBlack Black Red Black Red Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Red Black Black Black Black Red Black Black\nRed Black Black Black Black Black Black Red Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Red Red\nBlack Black Black Red Red Black Black Black Black Red Black Black Red\nBlack Black Black Black Black Red Black Red Red Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Red Black Black Black Black Red Red Red Black Black Black\n\nOutput:\nRed Black Black Black Black Red Red Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Red Brown Brown Brown\nRed Black Black Black Black Black Black Black Red Black Brown Brown Brown\nBlack Black Black Red Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Red Black Black Black Black Red Black Black Black Black\nBlack Black Red Black Black Black Red Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Red Black Red Red\nRed Black Red Black Black Red Black Black Black Black Black Black Red\nRed Black Red Black Black Black Black Black Black Black Black Black Black\nRed Black Black Red Red Red Black Black Black Red Black Black Black\nBlack Black Red Black Black Red Red Black Red Red Red Black Red\nBlack Black Black Black Red Black Black Black Black Black Black Red Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Brown Black Black Green Green Black Black Black Brown Black Black Black Black Black\nBrown Black Black Black Green Green Brown Brown Black Brown Black Black Brown Black Brown\nBlack Brown Black Black Green Green Brown Black Black Black Black Black Black Brown Black\nBrown Black Black Black Green Green Brown Black Black Black Black Brown Black Black Brown\nBlack Brown Black Black Green Green Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Green Green Black Brown Brown Black Black Black Brown Black Black\nBlack Black Black Black Green Green Black Black Brown Black Brown Brown Black Brown Black\nBrown Black Black Black Green Green Black Black Black Black Black Black Black Brown Black\nBlack Black Brown Black Green Green Brown Black Black Black Brown Brown Black Black Black\nBrown Black Black Black Black Black Black Brown Black Black Brown Black Black Black Black\n\nOutput:\nBrown Black Brown Black Black Black Brown Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Brown Black Brown Black Black Black Black Black\nBlack Brown 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\nBlack Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Brown Black Black Black Black Brown Brown Brown Black Black Brown Black Black Black\nBrown Black Black Black Brown Black Black Black Brown Black Brown Brown Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Brown Brown Black Black Black Black Black\nBrown Brown Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Brown Black Black Brown Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Black Gray Gray Gray Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Gray Black Black\nGray Black Black Black Gray Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Gray Gray Black Gray Black Black Gray Black Black Black Black Black Black Black\nBlack Gray Black Black Black Gray Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Gray Black Black Black Gray Gray Black Black Black Black Gray\nBlack Black Black Black Gray Gray Black Gray Black Black Gray Gray Black Black Black Black\nBlack Black Black Gray Black Gray Black Black Black Gray Black Black Gray Gray Black Black\nBlack Black Gray Black Black Gray Black Black Black Black Black Black Black Black Black Black\nGray Black Black Gray Black Gray Gray Black Gray Black Black Black Gray Black Gray Black\nBlack Black Gray Black Black Black Black Gray Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Gray Black Black Black Gray Black Black Black Black Black Black\n\nOutput:\nBlack Black Gray Black Black Black Black Black Black Gray Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Gray Black Gray Black Black Black Black Gray Black Black Gray Black Black Black Black\nBlack Black Gray Black Gray Black Black Black Gray Black Black Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Gray Black Gray Black Black Black Black\nGray Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Gray Black Gray Black Black Black Black Black\nGray Black Black Black Gray Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Gray Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Brown Black Black Black Brown Red Red Red Red Black Black Black Black\nBlack Black Black Brown Black Black Red Red Red Red Brown Brown Brown Black\nBlack Black Black Black Brown Brown Red Red Red Red Black Black Brown Black\nBrown Black Black Black Black Black Red Red Red Red Black Black Black Black\nBrown Black Brown Black Brown Brown Red Red Red Red Black Brown Black Black\nBlack Black Black Black Black Brown Red Red Red Red Black Black Brown Black\nBlack Brown Black Black Black Brown Red Red Red Red Brown Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Brown Black Brown\nBlack Black Black Brown Black Black Black Brown Black Brown Brown Brown Black Black\nBlack Black Black Brown Black Black Brown Black Brown Black Black Black Black Black\nBrown Black Black Black Black Black Black Brown Black Brown Brown Black Black Black\nBrown Black Black Brown Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Brown Brown Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Brown Black Brown Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Brown Black Brown Brown Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Brown Black Brown Black Black\nBrown Black Black Black Black Black Black Brown Brown Brown Black Brown Black Brown\nBlack Black Black Brown Black Black Red Red Red Red Red Red Red Red\nBlack Black Brown Black Brown Black Red Red Red Red Red Red Red Red\nBlack Black Black Brown Black Black Red Red Red Red Red Red Red Red\nBlack Brown Brown Black Brown Black Red Red Red Red Red Red Red Red\nBlack Black Brown Black Brown Black Black Brown Black Black Black Black Brown Black\nBlack Black Black Black Brown Brown Black Black Black Brown Black Black Brown Black\nBlack Black Black Black Black Black Black Black Brown Black Black Brown Brown Black\nBrown Black Black Black Black Brown 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 Blue Yellow Brown Brown Blue Yellow Brown Brown Brown Yellow Yellow Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Yellow Blue Brown Brown Blue Blue Yellow Yellow Blue Blue Brown Blue\nBrown Brown Brown Brown Blue Brown Brown Brown Blue Blue Yellow Brown Brown Brown Brown Yellow Brown\nYellow Brown Yellow Brown Brown Brown Brown Brown Yellow Blue Brown Brown Brown Brown Brown Yellow Blue\nBlue Yellow Brown Yellow Yellow Brown Yellow Blue Yellow Blue Brown Brown Yellow Brown Brown Yellow Brown\nBrown Brown Blue Brown Brown Brown Brown Blue Yellow Brown Brown Brown Brown Blue Yellow Brown Brown\nBrown Yellow Brown Brown Blue Brown Brown Brown Brown Brown Yellow Blue Blue Yellow Blue Brown Brown\nBrown Brown Yellow Blue Brown Yellow Blue Brown Brown Yellow Brown Brown Blue Blue Brown Brown Blue\nBrown Brown Yellow Blue Brown Brown Brown Brown Brown Brown Brown Yellow Blue Blue Brown Blue Yellow\nBrown Blue Yellow Blue Brown Brown Brown Brown Brown Blue Brown Brown Brown Brown Yellow Brown Brown\nBrown Blue Brown Brown Blue Blue Blue Brown Brown Brown Brown Brown Yellow Yellow Yellow Brown Brown\nBrown Brown Blue Blue Brown Brown Brown Brown Blue Brown Brown Blue Yellow Yellow Yellow Brown Blue\nBrown Blue Blue Brown Blue Yellow Brown Brown Brown Brown Blue Yellow Yellow Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nOrange Green Green Green Purple Purple Orange Purple Purple Green Orange Orange Purple Green Purple\nPurple Purple Green Green Green Purple Purple Orange Orange Green Orange Orange Green Orange Green\nOrange Green Green Purple Green Green Green Orange Green Orange Purple Green Green Orange Green\nOrange Green Green Green Purple Purple Green Green Green Green Green Orange Green Purple Green\nGreen Purple Green Green Green Green Green Green Green Green Orange Purple Green Green Green\nPurple Green Orange Orange Green Orange Green Green Green Green Green Purple Green Green Orange\nPurple Green Purple Green Orange Purple Purple Purple Green Green Orange Green Orange Purple Purple\nPurple Orange Green Green Green Purple Green Purple Green Purple Green Orange Orange Green Purple\nOrange Purple Green Purple Green Purple Green Green Purple Orange Green Purple Green Green Orange\nGreen Orange Purple Green Green Orange Green Purple Green Orange Orange Orange Purple Orange Green\nGreen Orange Orange Green Purple Green Green Green Orange Purple Purple Green Green Orange Green\nPurple Green Green Purple Orange Purple Green Orange Purple Purple Green Green Green Orange Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGreen Gray Gray Gray Gray Gray Gray Gray Green Gray Green Gray Gray Gray Gray Green\nPink Pink Gray Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Green\nGray Gray Gray Pink Gray Green Gray Green Gray Pink Green Gray Gray Gray Pink Green\nGray Gray Green Gray Green Gray Gray Green Gray Gray Gray Gray Green Gray Gray Gray\nGreen Gray Green Green Gray Pink Gray Gray Gray Pink Gray Gray Pink Gray Pink Pink\nGray Gray Gray Pink Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Pink Gray\nGray Green Gray Gray Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green\nGray Green Gray Green Pink Gray Pink Green Gray Gray Gray Gray Pink Gray Gray Gray\nGray Green Green Gray Gray Pink Gray Gray Gray Gray Gray Green Gray Gray Gray Gray\nGray Gray Green Pink Gray Gray Gray Gray Green Pink Gray Gray Pink Green Gray Pink\nGray Gray Pink Gray Gray Gray Pink Gray Pink Pink Gray Pink Pink Green Gray Gray\nGray Gray Gray Gray Gray Green Gray Gray Gray Pink Gray Gray Green Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Red Red Brown Red Red Red Red Gray Brown Red Red\nRed Red Brown Red Red Red Gray Red Gray Red Brown Brown Red Gray\nRed Red Gray Red Gray Brown Red Gray Gray Gray Brown Red Red Gray\nBrown Red Red Brown Red Gray Gray Gray Red Red Red Red Gray Red\nRed Red Red Gray Red Brown Red Red Gray Red Gray Red Red Red\nRed Brown Red Red Brown Red Gray Red Red Red Brown Red Brown Red\nRed Red Red Gray Red Red Red Brown Brown Brown Red Red Red Red\nBrown Gray Red Red Red Brown Red Red Brown Brown Red Red Red Gray\nRed Gray Red Red Brown Gray Red Red Brown Gray Red Gray Red Red\nRed Gray Gray Red Brown Red Gray Gray Brown Brown Brown Red Red Gray\nGray Red Brown Red Red Brown Brown Red Red Brown Red Gray Red Gray\nRed Gray Red Gray Red Red Red Brown Gray Red Gray Red Red Gray\nGray Brown Gray Gray Red Red Red Brown Brown Red Gray Brown Red Red\nRed Brown Red Red Red Red Red Brown Red Red Brown Red Red Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Orange Orange Orange Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Yellow Black Yellow Red\nBlack Black Black Black Brown Gray Black Black Black Black Black Black Yellow Yellow Blue Yellow Yellow\nBlack Black Black Brown Brown Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Brown 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\nBlack Black Black Black Black Black Black Black Gray Purple Purple Gray Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Pink Purple Purple Black Black Black Brown Brown Brown\nBlack Brown Orange Black Orange Brown Black Black Blue Purple Purple Blue Black Black Black Blue Blue\nBlack Green Blue Blue Blue Green Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Blue Blue Black Blue Blue Black Black Black Black Black Black Black Black Brown Brown Brown\n\nOutput:\nBrown\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 Green Purple Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Brown Brown Blue Brown Brown Black Black\nBlack Black Pink Pink Black Black Black Black Black Gray Orange Black Orange Black Black Black\nBlack Green Purple Purple Pink Black Black Black Black Brown Yellow Brown Yellow Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Orange Yellow Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Purple Gray Purple Gray Black Black\n\nOutput:\nBrown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Orange Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Purple Purple Blue Black Black Black Black Pink Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Brown Brown Pink Black Black\nBlack Black Black Black Black Black Black Black Black Blue Orange Gray Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Pink Black Black\nBlack Black Black Black Pink Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Blue Yellow Black Black Black Black Blue Blue Black\nBlack Black Black Blue Pink Brown Red Black Black Black Black Gray Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Yellow Black\nBlack Black Black Black Black Black Black Black Gray Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Orange Brown Brown Brown Orange 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```\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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray 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 Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Black Pink Black Black Black Black Black\nBlack Black Black Black Green Green Green Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Purple Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Purple Pink Pink Pink Black\nOrange Orange Orange Black Black Black Black Black Pink Pink Pink Pink Black\nOrange Orange Orange 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 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 Green Pink Green Green Green Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Pink Pink Black Purple Black Black Black Purple Black Pink Pink Black\nBlack Pink Pink Pink Purple Black Black Black Purple Pink Pink Pink Black\nBlack Pink Pink Pink Purple Black Black Black Purple Pink Pink Pink Black\nOrange Pink Pink Pink Pink Black Black Black Pink Pink Orange Orange Orange\nOrange Orange Orange Black Black Black Black Black Black Black Orange Orange Orange\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 Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Brown Red Black\nBlack Brown Blue Blue Black Black Black Black Black Red Red Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Pink Purple Black Black Black Black Black Black\nOrange Orange Black Black Purple Purple Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange 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 Red Red Red Red Red Red Red Red Black Black\nBlack Red Brown Red Red Red Red Red Red Red Red Black\nBlack Red Red Blue Black Black Black Black Blue Blue Brown Black\nBlack Blue Blue Blue Black Black Black Black Blue Blue Blue Black\nBlack Black Blue Blue Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Pink Purple Purple Pink Black Black Orange Orange\nOrange Orange Black Black Purple Purple Purple Purple Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Blue Blue Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Blue Blue Blue Blue Orange Orange Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Red Black Black Red Black Red Black Black Black\nBlack Black Black Black Red Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Red Black Black Black Black\nBlack Black Black Red Black Red Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Brown Black Gray Gray Black Black Black Black\nBlack Black Pink Pink Black Brown Brown Black Gray Gray Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Gray Brown Brown Gray Gray Black Black Black Black\nBlack Black Pink Pink Gray Gray Brown Brown Brown Gray Pink Pink Black Black\nBlack Black Pink Pink Gray Gray Black Black Gray Gray Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Brown Brown Brown Brown Brown Black Black\nBlack Black Black Brown Yellow Yellow Yellow Brown Black Black\nBlack Black Black Brown Yellow Yellow Yellow Brown Black Black\nBlack Black Black Brown Yellow Yellow Yellow Brown Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown 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 Orange Orange Orange Orange Orange Black Black\nBlack Black Black Orange Green Green Green Orange Black Black\nBlack Black Black Orange Green Green Green Orange Black Black\nBlack Black Black Orange Green Green Green Orange Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Green Green Green Orange Orange Orange\nOrange Orange Orange Orange Green Green Green Orange Orange Orange\nOrange Orange Orange Orange Green Green Green Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Green Green Green Purple Black Black\nBlack Black Black Purple Green Green Green Purple Black Black\nBlack Black Black Purple Green Green Green Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Green Green Green Purple Purple Purple\nPurple Purple Purple Purple Green Green Green Purple Purple Purple\nPurple Purple Purple Purple Green Green Green Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Pink Gray Gray Gray Pink Black Black\nBlack Black Black Pink Gray Gray Gray Pink Black Black\nBlack Black Black Pink Gray Gray Gray Pink Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Gray Gray Gray Pink Pink Pink\nPink Pink Pink Pink Gray Gray Gray Pink Pink Pink\nPink Pink Pink Pink Gray Gray Gray Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlue Blue Blue Blue Black Black Black Black Black Green Green Green Green Black\nBlue Blue Blue Blue Black Pink Pink Pink Pink Black Black Black Black Black\nBlue Blue Blue Blue Black Pink Pink Pink Pink Black Black Black Black Black\nBlue Blue Blue Blue Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Black\nBlue Blue Blue Blue Black Black Black Black Black Black Green Green Green Black\nBlue Blue Blue Blue Black Pink Pink Pink Pink Black Black Black Black Black\nBlue Blue Blue Blue Black Pink Pink Pink Pink Black Black Black Black Black\nBlue Blue Blue Blue Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple Purple\nPink Pink Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Pink Purple Purple Black Black Black Black Black\nPink Pink Pink Pink Purple Purple Black Black Black Black Black\nPink Pink Pink Pink Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple Purple\nPink Pink Pink Pink Black Black Black Black Black Black Black\nPink Pink Pink Pink Purple Purple Black Black Black Black Black\nPink Pink Pink Pink Purple Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Black 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 Black\nBlack Black Black Black Black Blue Blue Black Purple Purple Black Black Black\nBlack Black Black Black Black Blue Blue Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Purple Purple Black Black Black\nBlack Black Black Black Black Blue Blue Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Pink Pink Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Pink Pink Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBrown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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```\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Blue Black Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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:\nRed 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\nRed 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\nRed Red Red Red Red Red Red Red Blue Red Blue Red Red\nRed Red Red Red Red Red Red Blue Red Blue Red Blue Red\nRed Red Red Red Red Red Red Blue Blue Blue Blue Blue Red\nRed Red Red Red Red Red Red Blue Blue Blue Blue Blue Red\nRed 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\nRed 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\nRed 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\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Blue Black Black Blue Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Blue Blue Red Red Red Red Red Red Red Red\nRed Blue Blue Blue Blue Red Red Red Red Red Red Red\nRed Blue Red Red Blue Red Red Red Red Red Red Red\nRed Blue Blue Blue Blue Red Red Red Red Red Red Red\nRed Red Blue Blue Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 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 Blue Black Blue Black Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Blue Red Blue Red Blue Red Red\nRed Red Red Red Red Blue Blue Blue Blue Blue Red Red\nRed Red Red Red Red Blue Blue Blue Blue Blue Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red\n\n\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 Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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```\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 Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Green Green Yellow Black Black Black Black Black Black Black\nBlack Yellow Green Green Green Green Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Green Yellow Black Yellow Green Yellow Black Black Black Black\nBlack Black Yellow Green Yellow Black Yellow Green Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Yellow 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 Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Red Red Yellow Black Black Black Black Black Black Black\nBlack Yellow Red Red Red Red Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Red Yellow Black Yellow Red Yellow Black Black Black Black\nBlack Black Yellow Red Yellow Black Yellow Red Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Yellow Yellow Black Yellow Black Black\nBlack Black Black Black Yellow Green Green Green Green Yellow Black Black\nBlack Black Black Black Yellow Green Green Green Green Yellow Black Black\nBlack Black Black Black Yellow Yellow Green Green Yellow Yellow Black Black\nBlack Black Black Black Yellow Black Yellow Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Yellow Yellow Black Yellow Black Black\nBlack Black Black Black Yellow Red Red Red Red Yellow Black Black\nBlack Black Black Black Yellow Red Red Red Red Yellow Black Black\nBlack Black Black Black Yellow Yellow Red Red Yellow Yellow Black Black\nBlack Black Black Black Yellow Black Yellow Yellow Black Yellow 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Green Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Yellow Black Black Black Yellow Green Green Yellow Black\nBlack Black Black Black Black Black Yellow Green Green Yellow Black Black\nBlack Black Black Black Black Yellow Green Green Green Black Yellow Black\nBlack Black Black Black Yellow Green Green Green Black Yellow Black Black\nBlack Black Black Black Yellow Green Yellow Black Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Red Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Yellow Black Black Black Yellow Red Red Yellow Black\nBlack Black Black Black Black Black Yellow Red Red Yellow Black Black\nBlack Black Black Black Black Yellow Red Red Red Black Yellow Black\nBlack Black Black Black Yellow Red Red Red Black Yellow Black Black\nBlack Black Black Black Yellow Red Yellow Black Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Yellow 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 Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Green Green Green Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Green Green Green Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Green Green Green Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Yellow Red Red Red Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Red Red Red Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Red Red Red Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black 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 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\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink 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\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray 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 Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Purple Purple Purple 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Purple Purple Purple Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\nPurple Gray Pink Black Black Black Black\nOrange Brown Green Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nRed Blue Gray Black Black Black Black\nRed Gray Blue Black Black Black Black\nBlue Gray Blue Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nYellow Blue Black Black Black Black\nRed Green Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nRed Red Black Black Black Black\nBlue Blue Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBrown Yellow Black Black Black Black Black\nYellow Red Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nGray Red Black Black Black Black Black\nRed 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\nHere is the input grid for the test example:\nInput:\nPink Gray Black Black Black\nGreen Pink 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```\nBlue Gray Black Black Black\nBlue Blue Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n```",
"role": "assistant"
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] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Green Green Green\nBlack Black Black Black Green Green Black Black Black Black Purple Purple Purple Purple Green Green Green\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Green Green Black Blue Blue Blue Blue Black Black Black Black Black Black\nRed Red Red Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nRed Red Red Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Black Black Black Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Gray Gray Black Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Blue Blue Blue Black Black Pink Pink Black\nBlack Black Yellow Yellow Black Black Black Blue Blue Blue Black Black Pink Pink Black\nBlack Black Yellow Yellow Black Black Black Blue Blue Blue Black Black Pink Pink Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Pink Pink Black Black Black\nBlack 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\n\nOutput:\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Gray Gray Gray Black Black Gray Gray Black\nBlack Black Gray Gray Black Black Black Gray Gray Gray Black Black Gray Gray Black\nBlack Black Gray Gray Black Black Black Gray Gray Gray Black Black Gray Gray Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Gray Gray Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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\nPink Pink Pink Pink 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\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 Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray 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 Black Black\nGray Gray Gray Gray 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 Red Red Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Red Red Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Red Red Black Blue Blue Blue Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray\nGray Gray Gray Red Red Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray\nGray Gray Gray Red Gray Gray Gray Blue Blue Blue Blue Gray Gray Gray Gray\nGray Gray Gray Red Red Red Gray Blue Blue Blue Blue Gray Gray Gray Gray\nGray Gray Gray Red Red Gray Red Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue 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 Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nGray 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 Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray\nGray Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nGray Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Red Red Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Red Red Red Red Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Blue Red Red Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray 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\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 Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Pink Purple Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Pink Purple Pink\nPink Pink Pink Pink Pink Pink Red Pink Red Pink Red Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Pink Red Red Red Red Red Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Red Red Red Red Red Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Red Red Pink Pink Red Red Pink Pink Red Red Pink Pink Pink Pink\nPink Pink Red Red Pink Pink Red Red Pink Pink Red Red Pink Pink Pink Pink\nPink Pink Red Red Red Red Red Red Red Red Red Red Pink Pink Pink Pink\nPink Pink Red Red Red Red Red Red Red Red Red Red Pink Pink Pink Pink\nPink Pink Red Red Red Red Red Red Red Red Red Red Pink Pink Pink Pink\nPink Pink Red Red Red Red Red Red Red Red Red Red Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\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 Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Yellow Yellow Red Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Red Red Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nGreen Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Black Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Black Gray Gray Gray Black Black\nGray Black Gray Gray Black Gray Black Gray Black Black\nGray Gray Gray Gray Black Gray Gray Gray 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 Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Gray Black Gray\nBlack Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black 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\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 Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Gray Black Black Gray\nGray Gray Gray Black Gray Black Gray Black Black Gray\nGray Gray Gray Gray Gray Black Gray Gray Gray Gray\nGray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Gray Black Black Black Black Black\nGray Gray Gray Black Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Gray Gray Gray\nGray Black Black Gray Black Black Black Gray Black Gray\nGray Black Black Gray Black Black Black Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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\nGray Gray Gray Gray Black Black Black Black Black Black\nGray Black Black Gray Black Black Black Black Black Black\nGray Black Black Gray Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Black Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black\nGray Black Gray Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Black Gray\nBlack Black Black Black Black Black Black Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Gray 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\nPink Orange Orange Orange Orange Orange Orange Pink\nPink Orange Orange Orange Orange Orange Orange Pink\nPink Orange Orange Orange Orange Orange Orange Pink\nPink Orange Orange Orange Orange Orange Orange Pink\nPink Orange Orange Orange Orange Orange Orange Pink\nPink Orange Orange Orange Orange Orange Orange Pink\nPink Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Pink Pink Pink Pink Pink Pink Orange\nOrange Pink Pink Pink Pink Pink Pink Orange\nOrange Pink Pink Pink Pink Pink Pink Orange\nOrange Pink Pink Pink Pink Pink Pink Orange\nOrange Pink Pink Pink Pink Pink Pink Orange\nOrange Pink Pink Pink Pink Pink Pink Orange\nOrange Pink Pink Pink Pink Pink Pink Orange\nOrange Pink Pink Pink Pink Pink Pink Orange\nOrange Pink Pink Pink Pink Pink Pink Orange\nOrange Pink Pink Pink Pink Pink Pink Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Orange Orange Orange Orange Orange Yellow\nYellow Orange Orange Orange Orange Orange Yellow\nYellow Orange Orange Orange Orange Orange Yellow\nYellow Orange Orange Orange Orange Orange Yellow\nYellow Orange Orange Orange Orange Orange Yellow\nYellow Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange\nOrange Yellow Yellow Yellow Yellow Yellow Orange\nOrange Yellow Yellow Yellow Yellow Yellow Orange\nOrange Yellow Yellow Yellow Yellow Yellow Orange\nOrange Yellow Yellow Yellow Yellow Yellow Orange\nOrange Yellow Yellow Yellow Yellow Yellow Orange\nOrange Yellow Yellow Yellow Yellow Yellow Orange\nOrange Yellow Yellow Yellow Yellow Yellow Orange\nOrange Yellow Yellow Yellow Yellow Yellow Orange\nOrange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBrown Brown Brown Brown Brown Brown Brown\nBrown Gray Gray Gray Gray Gray Brown\nBrown Gray Gray Gray Gray Gray Brown\nBrown Gray Gray Gray Gray Gray Brown\nBrown Gray Gray Gray Gray Gray Brown\nBrown Gray Gray Gray Gray Gray Brown\nBrown Black Black Black Black Black Brown\nBrown Black Black Black Black Black Brown\nBrown Black Black Black Black Black Brown\nBrown Black Black Black Black Black Brown\nBrown Brown Brown Brown Brown Brown Brown\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray\nGray Brown Brown Brown Brown Brown Gray\nGray Brown Brown Brown Brown Brown Gray\nGray Brown Brown Brown Brown Brown Gray\nGray Brown Brown Brown Brown Brown Gray\nGray Brown Brown Brown Brown Brown Gray\nGray Brown Brown Brown Brown Brown Gray\nGray Brown Brown Brown Brown Brown Gray\nGray Brown Brown Brown Brown Brown Gray\nGray Brown Brown Brown Brown Brown Gray\nGray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Pink Pink Pink Pink Pink Pink Pink Gray\nGray Pink Pink Pink Pink Pink Pink Pink Gray\nGray Pink Pink Pink Pink Pink Pink Pink Gray\nGray Pink Pink Pink Pink Pink Pink Pink Gray\nGray Pink Pink Pink Pink Pink Pink Pink Gray\nGray Pink Pink Pink Pink Pink Pink Pink Gray\nGray Pink Pink Pink Pink Pink Pink Pink Gray\nGray 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```\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Orange Black\nBlack Black Black Black Black Black Blue Blue Blue Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Green Green Black Black Black Black Black Black\nBlack Orange Green Green Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Green Green Green Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Pink Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack 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 Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue 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\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\nRed Red Red Black Black Black Black Black Black Black Yellow Blue Blue Blue Black\nRed Red Red Black Black Black Black Black Black Black Yellow Blue Blue Blue Black\nGray Gray Gray Black Black Black Blue Black Black Black Yellow Blue Blue Blue Black\nGray Gray Gray Black Black Black Black Black Black Brown Brown Black Black Black Black\nGray Gray Gray Black Black Black Black Pink Pink Pink Brown Black Black Black Black\nBlack Black Black Black Brown Green Green Pink Pink Pink Black Purple Purple Purple Black\nPurple Purple Black Black Black Green Green Pink Pink Pink Black Purple Purple Purple Black\nPurple Purple Black Black Black Green Green Green Black Black Black Purple Purple Purple 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 Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlue Blue Blue Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlue Blue Blue Black Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlue Blue Blue Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Red Blue Black Blue Blue Blue Black\nBlue Blue Black Black Black Red Black Red Black Blue Black Blue Blue Blue Black\nBlue Blue Black Black Black Blue Black Blue Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Red Black Purple Purple Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Purple Purple Blue Black Black Black Black Purple Purple Purple 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 Gray Gray Gray Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green 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 Blue Black Black\nBlack Black Black Black Black 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\nBlack Black Black Blue Black Blue Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Blue Black Blue Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Blue Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Red Black Black Black Blue Blue Blue Black Black\nBlack Black Black Blue Red 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\nBlack 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 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 Pink Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Pink Blue Blue Yellow Yellow Black Black Black Black\nBlack Black Black Black Brown Brown Blue Blue Yellow Yellow Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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 Blue Black Black Black Red Black Blue Black Black Black\nBlack Black Black Black Black Red Black Black Black Red Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Red Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Blue Blue Black Black Green Pink Green Pink Black Blue Blue\nBlack Blue Blue Blue Blue Green Green Pink Green Pink Blue Blue Blue\nBlack Black Blue Blue Blue Black Black Black Black Black Blue Blue Blue\nBlack Black Black Blue Yellow Black Black Black Black Black Black Blue Yellow\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow\nBlue Blue Blue Blue Pink Green Green Green Green Green Pink Blue Blue\nBlue Blue Blue Pink Pink Pink Green Green Green Pink Pink Pink Blue\nBlue Blue Blue Black Pink Green Green Green Green Green Pink Black Blue\nBlue Blue Blue Pink Pink Pink Green Green Green Pink Pink Pink Blue\nBlack Blue Blue Blue Pink Green Green Green Green Green Pink Blue Yellow\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Yellow Blue Black Black Black Black Black Black Yellow Blue Black\nBlack Black Blue Blue Blue Black Black Black Black Black Blue Blue Blue\nBlack Blue Blue Blue Blue Pink Pink Pink Pink Pink Blue Blue Blue\n\nOutput:\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Green Green Green Black Black Black Black Blue\nBlue Black Black Pink Black Black Green Black Black Pink Black Black Blue\nBlue Black Black Black Black Green Green Green Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Red Red Black Black Black Black Red Red Black Black Black\nGreen Green Green Black Red Red Red Black Black Black Red Red Red Black Green\nBlack Black Green Black Red Red Red Red Black Red Red Red Red Red Black\nBlack Black Green Green Green Red Red Red Black Red Red Red Green Green Green\nBlack Blue Pink Pink Green Black Red Black Black Black Red Red Green Pink Pink\nBlue Blue Blue Pink Black Black Black Black Black Black Black Black Black Green Blue\nBlack Blue Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Pink Pink Black Black Black Black Black Black Black Black Black Pink Pink\nBlue Blue Blue Pink Green Black Black Black Black Black Black Black Green Green Blue\nBlack Blue Green Pink Green Red Red Red Black Red Red Red Green Green Green\nGreen Green Green Green Red Red Red Red Black Red Red Red Red Green Green\nBlack Black Green Red Red Red Red Black Black Black Red Red Red Black Black\n\nOutput:\nBlack Black Black Black Red Black Black Black Black Black Red Black Black Black Black\nGreen Black Black Black Red Black Black Black Black Black Red Black Black Black Green\nBlack Black Black Black Black Red Black Red Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Red Black Red Black Black Black Black Black\nGreen Black Black Black Red Black Black Black Black Black Red Black Black Black Green\nBlack Black Black Black Red Black Black Black Black Black Red Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nRed Pink Red Pink Yellow Black Yellow Black Black Yellow Yellow Yellow Pink Red\nRed Red Red Pink Pink Green Green Green Green Green Green Pink Pink Red\nRed Pink Red Pink Black Black Green Black Black Green Black Black Pink Red\nBlue Blue Blue Green Black Black Black Black Black Black Black Black Green Blue\nBlue Blue Blue Green Black Black Black Black Black Black Black Black Green Blue\nBlue Blue Blue Green Black Black Black Black Black Black Black Black Green Blue\nBlue Blue Blue Green Black Black Black Black Black Black Black Black Green Blue\nRed Pink Red Pink Black Black Green Black Black Green Black Black Pink Red\nRed Red Red Pink Pink Green Green Green Green Green Green Pink Pink Red\nRed Pink Red Pink Yellow Yellow Yellow Black Black Yellow Yellow Yellow Pink Red\n\nOutput:\nBlack Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Pink Black Black Black Black Black Black Black Black Black Black Pink 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\nBlue 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 Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Pink Black Black Black Black Black Black Black Black Black Black Pink Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Yellow 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 Pink Black Black Black Black\nBlack Green Black Black Blue Pink Green Pink Pink Pink Pink Green Black Black\nGreen Green Green Red Red Blue Green Black Black Pink Red Green Black Green\nRed Green Red Red Green Green Green Black Black Green Green Green Red Red\nRed Red Red Red Red Red Red Black Black Red Red Red Red Red\nBlack Red Red Black Red Red Red Black Black Pink Red Red Black Red\nPink Pink Pink Pink Pink Red Red Green Green Red Red Pink Pink Pink\nYellow Pink Pink Pink Pink Red Green Green Green Green Red Pink Pink Pink\nYellow Pink Pink Pink Pink Red Green Green Green Green Red Pink Pink Pink\nPink Pink Pink Pink Pink Red Red Green Green Red Red Pink Pink Pink\nRed Red Red Red Red Red Red Black Black Red Red Red Red Red\nRed Red Red Red Red Red Red Black Black Red Red Red Red Red\nBlack Green Red Red Red Red Green Black Black Blue Red Green Red Red\nGreen Green Green Black Red Blue Green Black Black Pink Blue Green Black Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Red Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black Black Pink Pink Black\nBlack Pink Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Red Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Yellow Yellow Yellow 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\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack 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 Brown Brown Brown Brown Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Gray Gray Gray 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 Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Black 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 Black Black Black 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 Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown 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 Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray 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 Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 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\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Green 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\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow\nBlack Black Black Green Purple Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Green\nBlack Black Black Yellow Yellow 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 Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Purple Blue Black Black\nBlack Brown Blue Blue Black\nBlack Black Brown Purple Black\nBlack Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red\nRed Purple Purple Blue Blue Black Black Red\nRed Purple Purple Blue Blue Black Black Red\nRed Brown Brown Blue Blue Blue Blue Red\nRed Brown Brown Blue Blue Blue Blue Red\nRed Black Black Brown Brown Purple Purple Red\nRed Black Black Brown Brown Purple Purple Red\nRed Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Red Brown Red Black\nBlack Brown Brown Brown Black\nBlack Brown Black Brown Black\nBlack Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red\nRed Red Red Brown Brown Red Red Red\nRed Red Red Brown Brown Red Red Red\nRed Brown Brown Brown Brown Brown Brown Red\nRed Brown Brown Brown Brown Brown Brown Red\nRed Brown Brown Black Black Brown Brown Red\nRed Brown Brown Black Black Brown Brown Red\nRed Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Purple Black Black\nBlack Purple Purple Purple Black\nBlack Black Purple Black Black\nBlack Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red\nRed Black Black Purple Purple Black Black Red\nRed Black Black Purple Purple Black Black Red\nRed Purple Purple Purple Purple Purple Purple Red\nRed Purple Purple Purple Purple Purple Purple Red\nRed Black Black Purple Purple Black Black Red\nRed Black Black Purple Purple Black Black Red\nRed Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Black Brown Black Black\nBlack Brown Blue Brown Black\nBlack Black Brown Black Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red\nRed Black Black Brown Brown Black Black Red\nRed Black Black Brown Brown Black Black Red\nRed Brown Brown Blue Blue Brown Brown Red\nRed Brown Brown Blue Blue Brown Brown Red\nRed Black Black Brown Brown Black Black Red\nRed Black Black Brown Brown Black Black Red\nRed Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Gray Black Black Black\nBlack Black Black Black Gray Black Red Black Yellow Black\nBlack Black Black Black Gray Red Brown Brown Black Black\nBlack Black Black Black Black Brown Brown Green Black Black\nBlack Black Black Black Black Black Yellow Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Black Yellow Black Black Yellow Black Black Purple Black\nBlack Green Brown Brown Black Black Brown Green Black Black\nBlack Brown Brown Red Gray Red Brown Brown Yellow Black\nYellow Black Red Black Gray Black Red Brown Black Black\nBlack Black Gray Gray Pink Gray Gray Black Black Black\nBlack Brown Red Black Gray Black Red Black Yellow Black\nYellow Brown Brown Red Gray Red Brown Brown Black Black\nBlack Green Brown Black Black Brown Brown Green Black Black\nPurple Black Black Yellow Black Black Yellow Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Purple Pink Pink Black Black Black\nBlack Black Green Green Black Green Green Black Black Black\nBlack Black Green Green Black Green Green Black Black Black\nBlack Black Black Green Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Purple Pink Pink Black Black Black\nPink Green Green Green Black Green Green Black Black Black\nPink Green Green Green Black Green Green Black Black Pink\nPurple Black Black Green Green Green Green Black Pink Pink\nBlack Green Green Green Green Black Black Purple Pink Pink\nBlack Green Green Black Green Green Green Pink Pink Black\nBlack Green Green Black Green Green Green Pink Black Black\nBlack Pink Pink Purple Black Black Black Black Black Black\nBlack Black Pink Pink Pink 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 Red Black Black Black Black\nBlack Black Black Black Red Black Green Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Pink Brown Black Black Blue Black\nBlack Black Black Black Pink Pink Pink Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Black Black Black\nOrange Pink Pink Pink Black Black Black Orange Black Black\nBlack Black Brown Pink Green Black Black Pink Black Blue\nBlack Black Red Red Black Red Brown Pink Black Black\nBlack Green Black Red Red Red Pink Pink Black Black\nPink Pink Red Red Red Black Green Black Black Black\nPink Brown Red Black Red Red Black Black Black Black\nPink Black Black Green Pink Brown Black Black Blue Black\nOrange Black Black Black Pink Pink Pink Orange Black Black\nBlack Blue Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Orange Black Orange Black Black\nBlack Black Black Black Black Blue Yellow Black Blue Black\nBlack Black Black Black Black Orange Blue Orange Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Orange Blue Orange Blue Black\nBlack Black Black Black Blue Blue Yellow Blue Blue Black\nBlack Black Black Black Blue Orange Blue Orange Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nGray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nRed Blue Red Blue Red Blue\nRed Green Red Green Red Green\nRed Red Red Red Red Red\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Black Black\nGray Gray Gray Gray Black Black\nBlue 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```\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (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 Gray Black Black Brown Gray Black Black Brown Gray\nBlack Brown Brown Gray Black Brown Brown Gray Black Brown Brown Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Brown Purple Gray Gray Brown Purple Gray Black Black Purple\nBlack Black Brown Gray Black Black Brown Gray Black Black Brown Gray\nBlack Brown Brown Gray Black Brown Brown Gray Black Brown Black Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Brown Purple Gray Gray Brown Purple Gray Gray Brown Purple\nBlack Black Brown Gray Black Black Brown Gray Black Black Brown Gray\nBlack Brown Brown Gray Black Brown Brown Black Black Brown Brown Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Brown Purple Gray Gray Brown Purple Gray Gray Brown Purple\n\nOutput:\nBlack Black Gray Brown\nBlack Black Black Black\nBlack Black Black Brown\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nGray Black Black Black\n\n\nExample 2\nInput:\nBlack Pink Pink Pink Black Black Pink Pink Pink Black Black Black Black Pink Black\nPink Pink Purple Pink Pink Pink Pink Purple Pink Pink Pink Pink Black Pink Pink\nGreen Green Green Green Green Black Black Green Green Green Green Green Green Green Green\nGreen Green Black Green Green Green Green Black Green Green Green Green Black Green Green\nGreen Green Black Green Green Green Green Black Green Green Green Green Black Green Green\nBlack Pink Pink Pink Black Black Pink Pink Pink Black Black Pink Pink Pink Black\nPink Pink Purple Pink Pink Pink Pink Purple Pink Pink Pink Pink Purple Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Black Green Green Green Green Black Green Green Green Green Black Green Green\nGreen Green Black Green Green Green Green Black Green Green Green Green Black Green Green\nBlack Pink Pink Pink Black Black Pink Pink Pink Black Black Pink Pink Pink Black\nPink Pink Purple Pink Pink Pink Pink Purple Pink Pink Pink Pink Purple Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Black Green Green Green Green Black Green Green Green Green Black Green Green\nGreen Green Black Green Green Green Green Black Green Green Green Green Black Green Green\n\nOutput:\nBlack Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Purple\nGreen Green Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Red Black Black Black Black Red Black Black Black\nRed Red Green Black Black Red Red Green Black Black\nRed Red Black Yellow Black Red Red Black Yellow Black\nPink Black Black Orange Blue Pink Brown Black Orange Blue\nPink Pink Pink Orange Black Pink Pink Pink Orange Black\nBlack Red Black Black Black Black Red Black Black Black\nRed Red Green Black Black Red Red Green Black Black\nRed Red Black Yellow Black Red Red Black Yellow Black\nPink Brown Black Orange Blue Pink Brown Black Orange Blue\nPink Pink Pink Orange Black Pink Pink Pink Orange Black\n\nOutput:\nBrown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Brown Black Black Black Black\nBrown Blue Brown Brown Black Brown\nBlack Brown Black Black Black Black\nBlack Brown Black Black Brown Black\nBrown Blue Brown Brown Blue Brown\nBlack Brown Black Black Brown Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown\nBlue\nBrown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Gray Gray Gray Black Black Black Black Black\nBlack Black Pink Pink Pink Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Green Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Black Green Green Green Black Black Black Black Black\nBlack Black Pink Pink Pink Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Green Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Purple Purple Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Purple Purple Purple Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Green Green Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Green Green Green Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Brown Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Gray Black Black Black\nBlack Yellow Black Black Yellow Black Black Black Black Gray Gray Black Black Black\nBlack Yellow Black Black Yellow Black Black Black Black Gray Gray Gray Black Black\nBlack 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\nBlack Black Black Black 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 Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Brown Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Green Black Black Black\nBlack Yellow Black Black Yellow Black Black Black Black Green Green Black Black Black\nBlack Yellow Black Black Yellow Black Black Black Black Green Green Green Black Black\nBlack 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\nBlack Black Black Black 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\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Red Red Red Red Black\nBlack Black Black Orange Orange Black Orange Orange Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Red 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 Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Black Black Red Red Red Red Black\nBlack Black Black Green Green Black Green Green Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Black Black Brown Black Black\nBlack Black Black Black Black Black Brown Black Black Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown 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 Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Blue Blue Brown Black Black\nBlack Black Black Black Black Black Brown Blue Blue Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Black Black Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Blue Blue Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Black Orange Black Black Black Black\nBlack Black Black Orange Orange 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Blue Orange Black Black Black Black\nBlack Black Black Orange Orange 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black\nBlack Black Black Gray Gray Gray\nBlack Black Black Gray Black Gray\nBlack Black Black Gray Black Gray\nBlack Black Black Gray Gray Gray\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Gray Gray Gray\nBlack Black Black Gray Blue Gray\nBlack Black Black Gray Blue Gray\nBlack Black Black Gray Gray Gray\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Blue Purple Gray Green Red Yellow 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\nOutput:\nBlack Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nGray Pink Red Purple Brown Blue Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Black\n\n\nExample 3\nInput:\nPurple Brown Pink Red Green Orange Yellow\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\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\nHere is the input grid for the test example:\nInput:\nYellow Brown Blue Orange Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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\nGreen Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Blue Blue Blue Black Black Black Gray Gray Green Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Gray Blue Black Green Black Black Black Black Black\nBlack Black Black Black Blue Blue Orange Orange Blue Blue Blue Gray Black Black Black Black Black\nBlack Black Black Black Green Pink Orange Black Orange Blue Gray Gray Black Black Black Black Black\nBlack Black Black Black Green Pink Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Purple Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Purple 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 Blue Blue Blue Black Black Black Gray Gray Green Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Gray Blue Black Green Black Black Black Black Black\nBlack Black Black Black Blue Blue Orange Orange Blue Blue Blue Gray Black Black Black Black Black\nBlack Black Black Black Green Pink Orange Black Orange Blue Gray Gray Black Black Black Black Black\nBlack Black Black Black Green Pink Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Pink Blue Blue Pink Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Pink Purple Purple Pink Black Black Black Black Blue Black Black Black\nBlack Purple Red Purple Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Purple Purple Orange Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Pink Blue Blue Pink Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Pink Purple Purple Pink Black Black Black Black Black Black Black Black\nBlack Purple Red Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Red Red Red Black Blue Blue Black Black Black\nBlack Black Blue Blue Black Red Red Red Black Orange Yellow Black Black Black\nBlack Black Blue Blue Black Red Blue Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Red Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Red Red Red Black Black Black Black Black Black\nBlack Black Blue Blue Black Red Red Red Black Black Black Black Black Black\nBlack Black Blue Blue Black Red Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Brown Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Blue Black Black Black Green Green Brown Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nPurple Blue Purple Black Black Black Black Black Black Black Black Black\nPurple Green Purple Black Blue Pink Pink Blue Black Black Black Black\nBlack Black Black Black Blue Pink Pink 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 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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 Green Green Brown Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black\nBlack Blue Black Black Black Green Green Brown Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black\nPurple Blue Purple Black Black Black Black Black Black Black Black Black\nPurple Green Purple Black Black Black Blue Pink Pink Blue Black Black\nBlack Black Black Black Black Black Blue Pink Pink Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple 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 Brown Brown Brown Black Black Black Orange Orange Black Black Gray Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Orange Orange Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Gray Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Black Black Blue Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Blue Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black 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 Red Black Black Black Black Black Black Black\nBlack Black Green Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Green Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Black Black Black Black Black Black Black\nBlack Black Blue Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Blue Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Blue 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\nBlack 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\nBlack Black Black Black Black Black 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 Gray 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\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Red Black\nBlack Black Black Purple Purple Gray Black Black Black Black Black Black Black Black Red Black\nGray Gray Gray Gray Purple Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Gray Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Orange Black Gray Gray 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 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 Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Blue Black\nBlack Black Black Blue Blue Yellow Black Black Black Black Black Black Black Black Blue Black\nBlue Blue Blue Blue Blue Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Red Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Blue Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Orange Orange Black Black Black\nOrange Black Black Black Black Black Black Black Black Orange Orange Black Black Black\nOrange Black Black Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple\nBlack Purple Purple Black Black Black Orange Orange Orange Orange Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black\nBlue Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlue Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlue Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Blue Blue Black Black Black Blue Blue Blue Blue Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black\nGray 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\nRed Red Black Black Black Black Black Black Black Black\nRed Red 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 Brown Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Black Black Black Black\nBlack Black Red 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 Black Black Black Black Black Black 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 Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow 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\nRed Red Red Red Red Black Black Black Black\nRed Red Red Red Red Black Black Black Black\nRed Red Red Red Red Black Black Black Black\nRed Red Red Red Red Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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\nPurple Purple Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Black Black\nBlack Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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\nRed Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Red Red Red Black Black Black Blue Blue Blue\nBlack Red Red Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black 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\nRed Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Gray Gray Gray\nPink Pink Pink Black Black Black Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black 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:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nPink Pink Pink 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\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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\nBlack Black Yellow Yellow Yellow 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\nBlack Black Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue 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\nYellow Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black\nYellow Green Green Green Black Black Black Black\nGreen Green Green Green Green Black Black Black\nGreen Green Green Green Green Black Black Black\nGreen Green Green Green Green Black Black Black\nBlack Green Green Green Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Yellow Yellow Black\nBlack Black Blue Blue Blue Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Green Green Green Black Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black\nBlack Black Green 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\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Blue Blue Blue Black Black\nYellow Yellow Yellow Black Blue Blue Blue Black Black\nYellow Yellow Black Black Blue Blue Blue 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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Green Green Green Black Black\nBlack Black Black Green Green Green Green Green Black\nBlack Black Black Green Green Green Green Green Black\nBlack Black Black Green Green Green Green Green Black\nBlack Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue\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 Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black 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:\nOrange Pink Yellow Pink Pink Yellow Pink Orange\nBrown Purple Gray Pink Pink Gray Purple Brown\nOrange Brown Green Green Green Green Brown Orange\nOrange Orange Brown Orange Orange Brown Orange Orange\nGray Orange Blue Pink Pink Blue Orange Gray\nGray Purple Orange Yellow Yellow Orange Purple Gray\nGray Purple Orange Yellow Yellow Orange Purple Gray\nGray Orange Blue Pink Pink Blue Orange Gray\nOrange Orange Brown Orange Orange Brown Orange Orange\nOrange Brown Green Green Green Green Brown Orange\nBrown Purple Gray Pink Pink Gray Purple Brown\nOrange Pink Yellow Pink Pink Yellow Pink Orange\n\nOutput:\nRed Green Brown Green Green Brown Green Red\nOrange Yellow Blue Green Green Blue Yellow Orange\nRed Orange Gray Gray Gray Gray Orange Red\nRed Red Orange Red Red Orange Red Red\nBlue Red Purple Green Green Purple Red Blue\nBlue Yellow Red Brown Brown Red Yellow Blue\nBlue Yellow Red Brown Brown Red Yellow Blue\nBlue Red Purple Green Green Purple Red Blue\nRed Red Orange Red Red Orange Red Red\nRed Orange Gray Gray Gray Gray Orange Red\nOrange Yellow Blue Green Green Blue Yellow Orange\nRed Green Brown Green Green Brown Green Red\n\n\nExample 2\nInput:\nOrange Yellow Blue Black Blue Yellow Orange\nRed Green Pink Black Pink Green Red\nBlue Gray Red Black Red Gray Blue\nOrange Brown Blue Black Blue Brown Orange\nPurple Brown Gray Black Gray Brown Purple\nPurple Brown Gray Black Gray Brown Purple\nOrange Brown Blue Black Blue Brown Orange\nBlue Gray Red Black Red Gray Blue\nRed Green Pink Black Pink Green Red\nOrange Yellow Blue Black Blue Yellow Orange\n\nOutput:\nRed Brown Purple Black Purple Brown Red\nPink Gray Green Black Green Gray Pink\nPurple Blue Pink Black Pink Blue Purple\nRed Orange Purple Black Purple Orange Red\nYellow Orange Blue Black Blue Orange Yellow\nYellow Orange Blue Black Blue Orange Yellow\nRed Orange Purple Black Purple Orange Red\nPurple Blue Pink Black Pink Blue Purple\nPink Gray Green Black Green Gray Pink\nRed Brown Purple Black Purple Brown Red\n\n\nExample 3\nInput:\nGray Brown Yellow Black Yellow Brown Gray\nYellow Red Green Black Green Red Yellow\nBlue Orange Purple Black Purple Orange Blue\nPink Orange Gray Black Gray Orange Pink\nPink Blue Purple Black Purple Blue Pink\nBlack Black Black Black Black Black Black\nPink Blue Purple Black Purple Blue Pink\nPink Orange Gray Black Gray Orange Pink\nBlue Orange Purple Black Purple Orange Blue\nYellow Red Green Black Green Red Yellow\nGray Brown Yellow Black Yellow Brown Gray\n\nOutput:\nBlue Orange Brown Black Brown Orange Blue\nBrown Pink Gray Black Gray Pink Brown\nPurple Red Yellow Black Yellow Red Purple\nGreen Red Blue Black Blue Red Green\nGreen Purple Yellow Black Yellow Purple Green\nBlack Black Black Black Black Black Black\nGreen Purple Yellow Black Yellow Purple Green\nGreen Red Blue Black Blue Red Green\nPurple Red Yellow Black Yellow Red Purple\nBrown Pink Gray Black Gray Pink Brown\nBlue Orange Brown Black Brown Orange Blue\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Green Pink Black Pink Green Gray Pink\nBrown Gray Brown Blue Black Blue Brown Gray Brown\nPink Gray Pink Gray Black Gray Pink Gray Pink\nPink Brown Brown Orange Black Orange Brown Brown Pink\nBlack Black Black Black Black Black Black Black Black\nPink Brown Brown Orange Black Orange Brown Brown Pink\nPink Gray Pink Gray Black Gray Pink Gray Pink\nBrown Gray Brown Blue Black Blue Brown Gray Brown\nPink Gray Green Pink Black Pink Green Gray Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Blue Gray Green Black Green Gray Blue Green\nOrange Blue Orange Purple Black Purple Orange Blue Orange\nGreen Blue Green Blue Black Blue Green Blue Green\nGreen Orange Orange Red Black Red Orange Orange Green\nBlack Black Black Black Black Black Black Black Black\nGreen Orange Orange Red Black Red Orange Orange Green\nGreen Blue Green Blue Black Blue Green Blue Green\nOrange Blue Orange Purple Black Purple Orange Blue Orange\nGreen Blue Gray Green Black Green Gray Blue Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green 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 Black Black\nBlack Black Black Black Black Black Black Black Gray Red Gray Brown Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Blue Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Red Gray Brown Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Red Gray Green Blue Brown Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Green Red Green Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Green Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple 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\nBlack Black Black Black Black Black Black Black Gray Blue Gray Yellow Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Red Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Blue Gray Yellow Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Blue Gray Purple Red Yellow Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Purple Blue Purple Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Purple Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown 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\nBlack Black Black Black Black Black Black Black Pink Purple Pink Yellow Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Red Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Purple Pink Yellow Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Purple Pink Brown Red Yellow Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Brown Purple Brown Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Brown Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Red Yellow Purple Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Green Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Red Yellow Purple Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Red Yellow Blue Green Purple Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Blue Red Blue Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Blue Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nOrange Purple Pink Pink Yellow Orange Red Orange Yellow Pink Pink Purple Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Purple Pink Red Orange Orange Orange Orange Orange Red Pink Purple Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Yellow Orange Pink Orange Red Orange Red Orange Pink Orange Yellow Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Pink Pink Brown Orange Purple Orange Purple Orange Brown Pink Pink Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Orange Brown Orange Orange Orange Orange Orange Brown Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Orange Orange Green Brown Brown Brown Green Orange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Orange Orange Brown Green Red Brown Red Green Brown Orange Orange Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Blue Blue Brown Brown Brown Blue Brown Brown Brown Blue Blue Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Pink Blue Pink Brown Brown Brown Brown Brown Pink Blue Pink Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Pink Red Orange Green Gray Brown Gray Green Orange Red Pink Orange Black Pink Pink Red Gray Black Black Black Black Black Black Black Black Black\nPurple Pink Green Green Green Brown Brown Brown Green Green Green Pink Purple Black Purple Blue Yellow Yellow Black Black Black Black Black Black Black Black Black\nGray Red Blue Green Green Brown Brown Brown Green Green Blue Red Gray Black Pink Pink Red Gray Black Black Black Gray Gray Gray Gray Black Black\nGray Purple Blue Pink Yellow Yellow Gray Yellow Yellow Pink Blue Purple Gray Black Black Black Black Black Black Black Black Gray Yellow Yellow Gray Black Black\nPurple Purple Red Red Red Red Yellow Red Red Red Red Purple Purple Black Black Black Black Black Black Black Black Gray Yellow Yellow Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Purple Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Blue Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Gray Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Red 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 Orange Red 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 Green Green Gray Blue Black Black Black Black Black Black Black\n\nOutput:\nOrange Purple Pink Pink Yellow Orange Red Orange Yellow Pink Pink Purple Orange\nYellow Purple Pink Red Orange Orange Orange Orange Orange Red Pink Purple Yellow\nRed Yellow Orange Pink Orange Red Orange Red Orange Pink Orange Yellow Red\nRed Pink Pink Brown Orange Purple Orange Purple Orange Brown Pink Pink Red\nPink Pink Orange Brown Orange Orange Orange Orange Orange Brown Orange Pink Pink\nPink Pink Orange Orange Blue Blue Blue Blue Green Orange Orange Pink Pink\nYellow Orange Orange Brown Blue Blue Blue Blue Green Brown Orange Orange Yellow\nPink Blue Blue Brown Blue Blue Blue Blue Brown Brown Blue Blue Pink\nRed Pink Blue Pink Blue Blue Blue Blue Brown Pink Blue Pink Red\nOrange Pink Red Orange Green Gray Brown Gray Green Orange Red Pink Orange\nPurple Pink Green Green Green Brown Brown Brown Green Green Green Pink Purple\nGray Red Blue Green Green Brown Brown Brown Green Green Blue Red Gray\nGray Purple Blue Pink Yellow Yellow Gray Yellow Yellow Pink Blue Purple Gray\nPurple Purple Red Red Red Red Yellow Red Red Red Red Purple Purple\n\n\nExample 2\nInput:\nGray Red Brown Brown Brown Brown Brown Brown Red Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Blue Brown Brown Brown Brown Blue Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Red Red Blue Brown Brown Blue Red Red Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Orange Red Gray Purple Purple Gray Red Orange Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Yellow Green Green Green Green Yellow Orange Orange Black Black Black Black Black Black Black Black Black Black Yellow Red Blue Black Black\nOrange Orange Blue Blue Red Red Blue Blue Orange Orange Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Black Black\nYellow Blue Blue Orange Green Green Orange Blue Blue Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Orange Black Black\nYellow Yellow Blue Green Red Red Green Blue Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Red Blue Black Black\nGreen Purple Green Green Green Green Green Green Purple Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Purple Red Red Yellow Yellow Red Red Purple Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Pink Blue Green Green Green Green Blue Pink Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Orange Red Red Brown Brown Red Red Orange Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Green Green Green Pink Pink Green Green Green Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Pink Green Green Green Green Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Red Brown Brown Brown Brown Brown Brown Red Gray\nGray Gray Blue Brown Brown Brown Brown Blue Gray Gray\nPink Red Red Blue Brown Brown Blue Red Red Pink\nPink Orange Red Gray Purple Purple Gray Red Orange Pink\nOrange Orange Yellow Green Green Green Green Yellow Orange Orange\nOrange Orange Blue Blue Blue Blue Blue Blue Orange Orange\nYellow Blue Blue Blue Blue Blue Orange Blue Blue Yellow\nYellow Yellow Blue Blue Blue Blue Green Blue Yellow Yellow\nGreen Purple Green Blue Blue Blue Green Green Purple Green\nOrange Purple Red Red Yellow Yellow Red Red Purple Orange\nGray Pink Blue Green Green Green Green Blue Pink Gray\nBlue Orange Red Red Brown Brown Red Red Orange Blue\nYellow Green Green Green Pink Pink Green Green Green Yellow\nGreen Green Pink Green Green Green Green Pink Green Green\n\n\nExample 3\nInput:\nGray Brown Brown Yellow Yellow Blue Blue Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Yellow Yellow Yellow Gray Gray Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Purple Green Brown Gray Gray Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Green Gray Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Orange Orange Blue Purple Orange Green Blue Black Green Brown Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Brown Red Red Yellow Purple Pink Orange Black Brown Brown Brown Yellow Yellow Orange Yellow Black Black Black Black Black Black Black Black Black Black\nPink Brown Gray Orange Pink Blue Orange Orange Black Green Brown Green Blue Gray Gray Gray Black Black Black Black Orange Orange Orange Black Black Black\nPink Pink Red Orange Red Red Yellow Blue Black Black Black Black Black Black Black Black Black Black Black Black Orange Green Green Black Black Black\nPink Gray Orange Red Red Green Yellow Brown Black Black Black Black Black Black Black Black Black Black Black Black Orange Brown Brown Black Black Black\nYellow Gray Orange Red Red Yellow Red Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Orange Orange Orange Gray Gray Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Orange Orange Orange Green Gray Gray Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Brown Brown Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Blue Blue Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Yellow Yellow Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Yellow Yellow Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Brown Brown Yellow Yellow Blue Blue Purple\nPurple Yellow Yellow Yellow Gray Gray Purple Purple\nGreen Purple Green Brown Gray Gray Purple Purple\nGray Gray Gray Gray Gray Green Gray Purple\nBlue Blue Blue Blue Blue Blue Green Blue\nBlue Blue Blue Blue Blue Blue Blue Orange\nBlue Blue Blue Blue Blue Blue Blue Orange\nPink Pink Red Orange Red Red Yellow Blue\nPink Gray Orange Red Red Green Yellow Brown\nYellow Gray Orange Red Red Yellow Red Yellow\nGreen Green Orange Orange Orange Gray Gray Green\nGray Orange Orange Orange Green Gray Gray Brown\n\n\nHere is the input grid for the test example:\nInput:\nBrown Purple Purple Red Red Red Green Yellow Yellow Yellow Yellow Green Brown Black Black Black Black Black Blue Blue Black Black Black Black\nGreen Purple Purple Red Red Red Red Brown Green Green Brown Purple Purple Black Black Black Black Black Blue Blue Black Black Black Black\nYellow Brown Brown Yellow Yellow Red Red Brown Orange Brown Brown Purple Purple Black Black Black Black Black Blue Blue Black Black Black Black\nYellow Green Brown Brown Yellow Green Purple Green Gray Brown Yellow Red Red Black Black Black Black Black Black Black Black Black Black Black\nYellow Green Orange Gray Pink Pink Pink Pink Pink Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black Black\nYellow Brown Brown Green Pink Red Pink Red Pink Green Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nGreen Red Red Purple Pink Pink Red Pink Pink Purple Red Red Green Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Green Pink Red Pink Red Pink Green Brown Brown Yellow Black Black Black Black Black Black Black Black Black Black Black\nRed Red Yellow Yellow Pink Pink Pink Pink Pink Gray Orange Green Yellow Black Black Black Black Black Black Black Black Black Black Black\nRed Red Yellow Brown Gray Green Purple Green Yellow Brown Brown Green Yellow Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Brown Brown Orange Brown Red Red Yellow Yellow Brown Brown Yellow Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Brown Green Green Brown Red Red Red Red Purple Purple Green Black Black Black Black Black Black Black Black Black Black Black\nBrown Green Yellow Yellow Yellow Yellow Green Red Red Red Purple Purple Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Blue Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Blue Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Orange Orange Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Purple Purple Red Red Red Green Yellow Yellow Yellow Yellow Green Brown\nGreen Purple Purple Red Red Red Red Brown Green Green Brown Purple Purple\nYellow Brown Brown Yellow Yellow Red Red Brown Orange Brown Brown Purple Purple\nYellow Green Brown Brown Yellow Green Purple Green Gray Brown Yellow Red Red\nYellow Green Orange Gray Pink Pink Blue Blue Blue Yellow Yellow Red Red\nYellow Brown Brown Green Pink Blue Blue Blue Blue Green Red Red Red\nGreen Red Red Purple Blue Blue Blue Blue Blue Purple Red Red Green\nRed Red Red Green Blue Blue Blue Blue Blue Green Brown Brown Yellow\nRed Red Yellow Yellow Pink Pink Pink Pink Pink Gray Orange Green Yellow\nRed Red Yellow Brown Gray Green Purple Green Yellow Brown Brown Green Yellow\nPurple Purple Brown Brown Orange Brown Red Red Yellow Yellow Brown Brown Yellow\nPurple Purple Brown Green Green Brown Red Red Red Red Purple Purple Green\nBrown Green Yellow Yellow Yellow Yellow Green Red Red Red Purple Purple 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 Brown Black Black Black Black Black Black Black Black\nGray Gray Gray Red Red Blue Black Black Gray Black Black Black Black Black Gray\nGray Gray Gray Red Red Black Black Black Black Brown Black Black Black Black Black\nGray Gray Gray Red Red Gray Brown Blue Black Pink Black Black Brown Black Brown\nGray Red Black Red Red Black Pink Gray Black Black Blue Blue Blue Blue Black\nRed Black Black Black Black Black Brown Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Red Blue Blue Blue Blue Pink\nBlack Blue Black Black Blue Black Gray Brown Brown Black Gray Black Red Pink Black\nBlack Black Black Black Red Brown Black Pink Pink Pink Black Black Black Red Black\nRed Black Black Black Blue Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Pink Pink Pink Brown Black Black Black Black\nBrown Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Red Red Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Red Red Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Red Red Red Red Gray Gray Brown Brown Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Red Red Red Red Gray Gray Brown Brown Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Red Red Black Black Red Red Red Red Black Black Pink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Red Red Black Black Red Red Red Red Black Black Pink Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Orange Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Purple Black Black Gray Gray\nBlack Black Black Black Purple Black Black Black Purple Purple Black Black Gray Gray\nPurple Black Black Black Purple Black Purple Purple Purple Purple Black Black Black Black\nOrange Purple Black Black Black Gray Black Purple Purple Purple Black Gray Black Black\nBlack Black Black Black Black Orange Black Black Gray Black Black Black Purple Black\nBlack Purple Black Black Black Orange Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Purple Orange Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Gray Black Purple\nPurple Purple Purple Black Black Black Black Black Black Orange Black Orange Black Black\nPurple Purple Purple Orange Black Black Purple Black Gray Purple Black Black Black Black\nPurple 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 Orange Black\nBlack Black Black Purple Black Orange Black Black Black Black Orange Orange Orange Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Black\nGray Gray Gray Gray Black Black Black Black Pink Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Pink Black Black\nGray Gray Gray Gray Gray Gray Gray Black Pink Pink Black Black\nGray Gray Gray Gray Gray Gray Gray Black Pink Pink Black Black\nOrange Orange Black Pink Black Black Black Pink Pink Pink Gray Black\nOrange Orange Black Black Gray Black Black Black Gray Black Black Black\nOrange Orange Black Pink Black Black Gray Black Black Black Black Black\nOrange Pink Black Gray Black Black Black Black Black Black Pink Black\nOrange Pink Black Black Black Pink Black Black Orange Gray Black Black\nBlack Black Black Black Black Pink Gray Gray Black Pink Black Black\nBlack Gray Black Gray Black Orange Black Black Black Gray Orange Black\nBlack Black Black Pink Black Gray Gray Black Black Pink Black Black\nBlack Black Orange Black Black Gray Black Black Black Orange Black Black\nBlack Black Gray Black Orange Black Black Gray 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\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray 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 Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black 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 Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink 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 Blue Blue Blue Blue Blue Black Purple Black\nBlack Green Black Black Blue Blue Blue Blue Black Black Blue\nGreen Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Green Black Black\nBlack Green Black Black Black Green Purple Blue Green Green Green\nBlack Black Green Purple Purple Purple Black Green Green Green Green\nGreen Black Black Purple Purple Purple Black Black Green Green Green\nPurple Black Black Purple Purple Purple Black Black Green Green Green\nBlack Purple Black Black Blue Black Green Black Green Black Blue\nBlack Black Black Green Black Green Black Black Black Purple Black\nGreen Green Blue Black Black Green Black Black Black Black Purple\nGreen Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Purple Green Blue Black Black\nGreen Green Green Green Black Black Blue Black Black Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Purple Purple Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Purple Purple Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Green Green Purple Purple Purple Purple Purple Purple Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Green Green Purple Purple Purple Purple Purple Purple Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack 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 Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black 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 Black 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 Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Gray Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Gray Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Pink Gray Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Pink Pink Gray Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Pink Pink Pink Gray Gray Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Gray Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink 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 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\nBlack Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Orange Brown Brown Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Orange Brown Brown Orange Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Orange Orange Orange Orange Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Orange Orange Orange Orange Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Orange Brown Brown Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Red Red Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Red Red Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Orange Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Red Red Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Red Red Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Orange Red Red Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Red Red Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Green Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Orange Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Orange Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Orange Green Orange Green Orange Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Orange Green Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Green Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Orange Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Orange Pink Orange Orange Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Orange Pink Pink Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Orange Pink Orange Orange Orange Green Black Black Black Black Black\nBlack Black Black Black Black Green Green Orange Green Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink 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 Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Yellow Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Blue Green Green Green Green Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black 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 Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Red Black Black Black Black Black Black Pink Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue 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\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Pink\nOrange Black Black Green Green Green 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\nBlack Black 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 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 Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Blue 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 Green Green Green Green Pink Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Blue 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 Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green 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 Red Purple Orange Pink Gray Yellow Red Gray\nGray Orange Blue Pink Gray Green Purple Blue Red\nRed Yellow Green Orange Purple Gray Purple Pink Yellow\nGreen Purple Red Pink Orange Green Gray Green Green\nGray Purple Gray Green Brown Brown Brown Yellow Blue\nBlue Purple Red Gray Brown Brown Brown Orange Yellow\nPink Orange Pink Green Brown Brown Brown Purple Orange\nGreen Purple Purple Red Yellow Pink Pink Purple Blue\nGray Yellow Green Red Red Purple Yellow Purple Red\n\nOutput:\nYellow Red Purple Green Pink Gray Yellow Red Gray\nOrange Green Yellow Red Gray Green Purple Blue Red\nRed Yellow Green Orange Purple Gray Purple Pink Yellow\nGreen Purple Red Pink Orange Green Gray Green Green\nGray Purple Gray Green Brown Brown Brown Yellow Blue\nBlue Purple Red Gray Brown Brown Brown Orange Yellow\nPink Orange Pink Green Brown Brown Brown Purple Orange\nGreen Purple Purple Red Yellow Pink Pink Purple Blue\nGray Yellow Green Red Red Purple Yellow Purple Red\n\n\nExample 2\nInput:\nPurple Yellow Gray Gray Yellow Orange Gray Orange Brown\nPink Red Brown Brown Red Red Blue Purple Red\nPurple Brown Pink Brown Brown Orange Orange Pink Orange\nBrown Red Yellow Blue Pink Gray Purple Gray Blue\nPink Gray Yellow Blue Green Green Green Red Pink\nGray Red Purple Pink Green Green Green Orange Purple\nPurple Pink Pink Pink Green Green Green Gray Purple\nYellow Red Yellow Pink Brown Yellow Blue Yellow Gray\nPurple Red Yellow Orange Yellow Orange Brown Pink Yellow\n\nOutput:\nPurple Yellow Red Brown Yellow Orange Gray Orange Brown\nBrown Pink Brown Purple Red Red Blue Purple Red\nPurple Brown Pink Brown Brown Orange Orange Pink Orange\nBrown Red Yellow Blue Pink Gray Purple Gray Blue\nPink Gray Yellow Blue Green Green Green Red Pink\nGray Red Purple Pink Green Green Green Orange Purple\nPurple Pink Pink Pink Green Green Green Gray Purple\nYellow Red Yellow Pink Brown Yellow Blue Yellow Gray\nPurple Red Yellow Orange Yellow Orange Brown Pink Yellow\n\n\nExample 3\nInput:\nOrange Pink Red Brown Red Green Orange Red Orange\nBlue Green Red Yellow Pink Blue Red Purple Brown\nOrange Yellow Orange Pink Yellow Blue Pink Orange Brown\nOrange Pink Pink Green Brown Orange Green Green Blue\nPink Blue Yellow Green Gray Gray Gray Purple Blue\nGreen Green Orange Pink Gray Gray Gray Red Orange\nPink Red Yellow Brown Gray Gray Gray Purple Orange\nBlue Blue Brown Green Orange Pink Blue Red Purple\nRed Yellow Purple Orange Green Purple Pink Blue Pink\n\nOutput:\nOrange Pink Pink Orange Red Green Orange Red Orange\nPink Orange Yellow Orange Pink Blue Red Purple Brown\nOrange Yellow Orange Pink Yellow Blue Pink Orange Brown\nOrange Pink Pink Green Brown Orange Green Green Blue\nPink Blue Yellow Green Gray Gray Gray Purple Blue\nGreen Green Orange Pink Gray Gray Gray Red Orange\nPink Red Yellow Brown Gray Gray Gray Purple Orange\nBlue Blue Brown Green Orange Pink Blue Red Purple\nRed Yellow Purple Orange Green Purple Pink Blue Pink\n\n\nHere is the input grid for the test example:\nInput:\nGreen Yellow Green Yellow Blue Gray Yellow Green Green\nGray Brown Gray Pink Blue Blue Orange Purple Blue\nBrown Purple Brown Purple Yellow Blue Yellow Brown Brown\nPurple Brown Purple Blue Gray Gray Purple Orange Yellow\nGray Orange Green Purple Red Red Red Pink Brown\nOrange Yellow Purple Brown Red Red Red Blue Brown\nPink Purple Blue Blue Red Red Red Brown Purple\nOrange Brown Green Yellow Green Orange Yellow Pink Gray\nPink Orange Purple Blue Purple Orange Orange Yellow Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Green Green Yellow Blue Gray Yellow Green Green\nPink Gray Gray Pink Blue Blue Orange Purple Blue\nPurple Brown Brown Purple Yellow Blue Yellow Brown Brown\nPurple Purple Purple Blue Gray Gray Purple Orange Yellow\nGray Green Green Purple Red Red Red Pink Brown\nOrange Purple Purple Brown Red Red Red Blue Brown\nBlue Blue Blue Blue Red Red Red Brown Purple\nYellow Green Green Yellow Green Orange Yellow Pink Gray\nBlue Purple Purple Blue Purple Orange Orange Yellow Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black\nBlack Black Black Black Green Black Black Black\nBlack Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBrown Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black\nBlack Black Black Black Red Black Black Black\nBlack Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Red\n\n\nExample 2\nInput:\nOrange Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black\n\nOutput:\nOrange Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black\nBlack Black Gray Black Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Black Green Black Black\nBlack Black Black Black Black Orange Black\nBlack Black Black Black Black Black Purple\n\n\nExample 3\nInput:\nOrange Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Orange Black Black\n\nOutput:\nOrange Black Black Black Black Black Black\nBlack Red Black Black Black Black Black\nBlack Black Purple Black Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Black Red Black Black\nBlack Black Black Black Black Purple Black\nBlack Black Black Black Black Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Orange Black\nBlack 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 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Black Black Black 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 Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Black 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 Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBrown 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\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown 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 Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue 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 Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Yellow Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue 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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Yellow Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue 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 Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Red Black Black Red Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue 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 Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Yellow Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Yellow Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Red Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue 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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue 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 Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue 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 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 Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Yellow Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Yellow Black Black Yellow 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 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 Yellow Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Yellow 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 Yellow 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 Yellow 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Blue 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 Blue Black Black Red Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Red Black Black Red 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 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 Red Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Red 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 Red 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 Red 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Purple Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Pink Pink Black Black Black Black Black Black\nBlack Black Gray Purple Green Green Purple Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Purple Green Green Purple Pink Black Black Black Black Orange Orange Orange Purple Blue Blue Black\nBlack Black Black Purple Black Black Purple Black Black Black Black Black Orange Blue Black Gray Pink Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Yellow Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Blue Black Gray Pink Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Purple Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Purple Yellow Yellow Purple Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Black Black Yellow Black Black Black Black Black Yellow Blue Black Gray Pink Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Brown Brown Yellow Orange Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Blue Black Gray Pink Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Black Black Purple Purple Purple Red Purple Purple Black\nBlack Black Yellow Gray Gray Yellow Gray Red Black Red Gray Black\nBlack Black Red Gray Gray Red Yellow Yellow Black Yellow Yellow Black\nBlack Black Red Green Green Red Black Black Black Black Black Black\nBlack Black Black Blue Purple Black Black Purple Blue Black Black Black\nBlack Black Black Gray Purple Black Black Purple Gray Black Black Black\nBlack Black Black Black Purple Blue Blue Purple Black Black Black Black\nBlack Black Black Purple Purple Pink Pink Purple Purple Black Black Black\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 Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Gray Yellow Black Yellow Yellow Black\nBlack Black Yellow Gray Gray Red Yellow Yellow Black Yellow Yellow Black\nBlack Black Yellow Green Green Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\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 Blue Black Blue Black Black Black Black Black Black Black Black\nBlack Black Red Yellow Orange Yellow Red Black Black Black Black Black Black Black\nBlack Black Red Brown Black Brown Red Black Blue Blue Black Black Black Black\nBlack Black Black Purple Purple Black Green Green Green Green Green Green Black Black\nBlack Black Blue Green Blue Black Green Green Green Green Green Green Black Black\nBlack Black Black Blue Purple Black Black Black Blue Blue Black Black Black Black\nBlack Black Blue Green Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Pink Brown Orange Orange Brown Pink Black Black\nBlack Black Black Black Black Black Black Pink Orange Orange Pink Black Black Black\nBlack Black Black Black Black Black Purple Pink Orange Orange Pink Purple Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Yellow Purple Purple Yellow Gray 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 Yellow Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Brown Black Yellow Yellow Black Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Yellow Yellow Green Green Yellow Yellow Black Black\nBlack Black Yellow Green Yellow Black Yellow Yellow Green Green Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Yellow Green Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Orange Orange Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Pink Orange Orange Pink Yellow Black Black\nBlack Black Black Black Black Black Yellow Gray Gray Gray Gray Yellow Black Black\nBlack 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Blue Blue Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Blue Blue Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Orange Orange Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Blue Blue Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black\nBlack Black Black Black Black Pink Brown Black\nBlack Black Black Black Black Purple Gray Black\nBlack Black Black Black Black Green Orange Black\nBlack Black Black Black Black Orange Brown Black\nBlue 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\nOrange Green Purple Pink Black Black Black Black\nBrown Orange Gray Brown Green 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 Blue\nRed Green Pink Black Black Black Black\nBlue Gray Red Black Black Black Black\nOrange Brown Blue Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange\nBlack Black Black Black Black Black Brown\nBlack Black Black Black Black Black Blue\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 Green Black\nBlack Yellow Red Green Black Black Black Black Black\nBlack Blue Orange Purple Black Black Black Black Black\nBlack Pink Orange Gray Black Black Black Black Black\nBlack Black Black 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 Yellow Red\nBlack Black Black Black Black Black Black Blue Orange\nBlack Black Black Black Black Black Black Pink Orange\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\nBlack Orange Pink Pink Gray Green Pink Black Black\nBlack Pink Purple Brown Brown Gray Brown Black Black\nBlack Yellow Blue Orange Blue Pink Gray Black Black\nBlack Black Black Black Black Black Black Black Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Red Black Gray Gray\nBlack Black Black Black Red Red Red Black Gray Gray\nBlack Green Green Black Red Red Red Black Gray Gray\nBlack Green Green Gray Gray Gray Red Black Black Black\nBlack Green Green Gray Gray Black Black Orange Orange Black\nBlack Green Green Gray Gray Black Black Orange Orange Black\nBlack Black Black Gray Gray Gray Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Blue 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 Black Black Black Black\nYellow Yellow Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Orange Orange Orange Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Orange Orange Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Orange Orange Black Black Gray Gray 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 Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\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 Red Gray Gray Gray Black Black Black Black\nBlack Black Red Red Red Gray Black Black Black Black Black\nBlack Black Red Red Red Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Blue\nRed Red Black Black Black Black Black Blue Blue\nBrown Brown Black Black Black Black Black Black Blue\nBrown Brown Black Black Black Black Black Black Black\n\nOutput:\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown 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\nBlack Blue 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\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Red 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 Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black 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 Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Pink Black Black Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Gray Yellow Black Black Black\nYellow Brown Black Black Black Black Red Black Black Black\nBlack Black Black Black Red Black Black Black Black Yellow\nBlack Black Black Black Black Black Pink Black Black Red\nBlack Black Black Black Black Black Gray Black Green Gray\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Orange Black Black Yellow Black Black Black Black Blue\nBlue Black Black Black Black Black Black Blue Red Black\nBlack Blue Black Black Black Black Black Black Black Black\nBrown Black Black Yellow Black Black Black Red Black Black\nBlack Black Black Black Brown Brown Black Black Black Brown\nBlack Orange Black Yellow Black Blue Orange Yellow Black Black\nBlack Black Blue Yellow Black Purple Green Purple Orange Black\nRed Black Black Black Black Orange Orange Black Brown Black\nBlack Black Black Black Purple Black Black Brown Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Pink Yellow Black Black Black Black Black Blue Purple\nBlack Black Green Pink Black Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Orange Purple Black Pink Black Black Black Black Black\nBlack Black Yellow Black Green Pink Black Black Black Purple\nBlack Black Black Purple Black Black Purple Black Orange Blue\nBlack Black Brown Black Black Black Black Blue Gray Black\nBlack Orange Black Black Black Black Black Yellow Black Black\nBlack Black Brown Black Orange Black Black Black Yellow Pink\nBlack Black Brown Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Purple Brown Orange Black Orange Black Black Black Black\nBlack Black Pink Gray Blue Black Black Black Black Yellow\nBlue Black Black Blue Black Red Black Brown Black Black\nBlack Black Black Pink Pink Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Pink Black Black Brown\nBlack Black Yellow Black Gray Purple Purple Black Gray Black\nBlue Black Black Black Black Pink Black Gray Black Black\nBrown Black Blue 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Pink\nBrown Brown Brown Brown Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Gray Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\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 Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Gray Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black 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:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Blue Purple Green Purple Blue Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Gray Purple Purple Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Purple Green Purple Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Red Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Orange Purple Green Purple Blue Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Green Green Green Green Green Green Green Green\nGreen Gray 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 Blue Green Green Green Green Green Green Green Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Purple Black Purple Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Purple 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 Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Purple Black Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Red Purple Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Purple Purple Purple Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Red Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Purple Red Purple Purple Gray Gray Gray Gray\nGray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Pink Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Red Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Purple Red Purple Purple Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Yellow Red Red Red Red Red Red Red Red Red Red Red Red Yellow Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Pink Red Red Red Red Red Red Red Red\nRed Red Red Red Red Purple Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Pink Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Blue Purple Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Yellow Red Red Gray Purple Purple Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Purple Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Purple Purple Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Purple Red Red Red Red Red\nRed Red Red Red Red Brown Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
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"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 Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Blue Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Gray Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Purple Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\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```",
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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\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Black Black Gray\nBlack Black Black Black Black Gray Black Black Black\nBlack Gray Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Black Black Blue\nBlack Black Black Black Black Red Black Black Black\nBlack Green Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Gray Black Black\nBlack Black Black Black Gray Black Gray Black Black\nBlack Black Gray Black Gray Black Gray Black Black\nBlack Black Gray Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Black Blue Black Black\nBlack Black Black Black Red Black Blue Black Black\nBlack Black Green Black Red Black Blue Black Black\nBlack Black Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Gray Black Black Gray Black Black Black Black\nBlack Gray Black Black Gray Black Black Black Black\nBlack Gray Black Black Gray Black Black Gray Black\nBlack Gray Black Black Black Black Black Gray Black\nBlack Gray Black Black Black Black Black Black Black\nBlack 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```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black\nBlack Black Black Black Green Black Black Black Black\nBlack Red Black Black Green Black Black Black Black\nBlack Red Black Black Green Black Black Black Black\nBlack Red Black Black Green Black Black Blue Black\nBlack Red Black Black Black Black Black Blue Black\nBlack Red Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black\n```",
"role": "assistant"
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[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Black Black Black Yellow Yellow Black Yellow Black Orange Black Black Black Black Black Red Black\nYellow Black Black Green Black Black Black Black Black Black Yellow Black Black Black Black Yellow Black\nBlack Green Green Yellow Black Black Black Black Orange Red Green Black Black Black Black Red Black\nBlack Yellow Black Black Black Black Black Black Pink Red Black Black Red Black Orange Black Green\nBlack Black Black Black Black Orange Yellow Black Black Red Red Red Red Orange Yellow Black Black\nBlack Pink Black Black Black Black Black Black Pink Red Red Red Red Yellow Orange Black Black\nGreen Black Black Pink Black Black Orange Black Black Green Black Orange Black Black Black Black Black\nPink Black Black Black Red Black Pink Black Green Black Green Pink Red Red Red Black Black\nGreen Black Black Black Orange Black Black Black Black Black Green Black Red Red Red Black Black\nBlack Black Black Yellow Black Black Green Black Black Green Green Black Red Black Red Black Orange\nBlack Black Black Red Yellow Black Black Black Black Black Green Black Black Green Orange Black Orange\nBlack Green Black Black Black Black Black Yellow Black Black Black Red Black Black Black Black Black\nBlack Black Black Red Black Black Green Red Red Yellow Green Orange Yellow Black Yellow Pink Black\n\nOutput:\nBlue Black Black Black Blue Blue Black Blue Black Blue Black Black Black Black Black Blue Black\nBlue Black Black Blue Black Black Black Black Black Black Blue Black Black Black Black Blue Black\nBlack Blue Blue Blue Black Black Black Black Blue Blue Blue Black Black Black Black Blue Black\nBlack Blue Black Black Black Black Black Black Blue Blue Black Black Blue Black Blue Black Blue\nBlack Black Black Black Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black\nBlue Black Black Blue Black Black Blue Black Black Blue Black Blue Black Black Black Black Black\nBlue Black Black Black Blue Black Blue Black Blue Black Blue Blue Blue Blue Blue Black Black\nBlue Black Black Black Blue Black Black Black Black Black Blue Black Blue Blue Blue Black Black\nBlack Black Black Blue Black Black Blue Black Black Blue Blue Black Blue Black Blue Black Blue\nBlack Black Black Blue Blue Black Black Black Black Black Blue Black Black Blue Blue Black Blue\nBlack Blue Black Black Black Black Black Blue Black Black Black Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black\n\n\nExample 2\nInput:\nRed Black Yellow Black Green Black Black Black Black Yellow Black Green Black Pink Black\nBlack Black Red Black Black Red Red Red Green Black Black Black Black Red Orange\nBlack Pink Yellow Black Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Red Black Green\nBlack Orange Black Black Green Red Orange Red Green Black Black Black Black Black Black\nBlack Green Black Black Black Black Red Black Black Green Black Red Black Black Black\nBlack Black Yellow Black Black Black Red Black Green Red Pink Black Black Black Black\nYellow Orange Pink Black Black Red Red Red Black Green Orange Black Orange Black Green\nBlack Black Black Green Red Red Red Orange Black Black Black Pink Black Black Green\nOrange Green Black Black Pink Red Green Yellow Black Black Black Pink Black Black Black\nBlack Black Green Pink Red Red Black Black Black Green Black Black Black Black Orange\nPink Black Black Black Black Yellow Black Black Yellow Black Black Black Green Black Black\n\nOutput:\nBlue Black Blue Black Blue Black Black Black Black Blue Black Blue Black Blue Black\nBlack Black Blue Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlack Blue Blue Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Black Blue\nBlack Blue Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Black Black Black Black Blue Black Black Blue Black Blue Black Black Black\nBlack Black Blue Black Black Black Blue Black Blue Blue Blue Black Black Black Black\nBlue Blue Blue Black Black Blue Blue Blue Black Blue Blue Black Blue Black Blue\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Blue Black Black Blue\nBlue Blue Black Black Blue Blue Blue Blue Black Black Black Blue Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Blue Black Black Black Black Blue\nBlue Black Black Black Black Blue Black Black Blue Black Black Black Blue Black Black\n\n\nExample 3\nInput:\nBlack Red Pink Green Green Black Green Black Black Black Green Black Pink Pink Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nOrange Black Pink Black Green Black Pink Black Black Black Black Black Pink Black Pink Orange\nBlack Black Black Black Black Green Pink Orange Green Pink Black Black Black Black Yellow Green\nBlack Pink Black Black Black Black Black Black Pink Red Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Pink Orange Yellow Black Pink Black Black Black Black\nGreen Red Yellow Red Black Black Orange Yellow Black Black Green Black Black Black Black Black\nPink Red Orange Red Black Yellow Black Black Black Orange Black Black Black Black Yellow Black\nBlack Red Red Red Black Black Black Black Black Black Green Red Yellow Black Black Black\nBlack Red Black Red Black Red Black Black Orange Orange Black Black Black Black Black Black\nOrange Green Black Orange Red Black Black Red Black Black Black Black Black Black Black Red\nOrange Green Black Black Black Orange Black Black Black Black Black Black Pink Black Black Black\n\nOutput:\nBlack Blue Blue Blue Blue Black Blue Black Black Black Blue Black Blue Blue Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlue Black Blue Black Blue Black Blue Black Black Black Black Black Blue Black Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Blue Blue\nBlack Blue Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Blue Blue Black Blue Black Black Black Black\nBlue Blue Blue Blue Black Black Blue Blue Black Black Blue Black Black Black Black Black\nBlue Blue Blue Blue Black Blue Black Black Black Blue Black Black Black Black Blue Black\nBlack Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Blue Black Blue Black Blue Black Black Blue Blue Black Black Black Black Black Black\nBlue Blue Black Blue Blue Black Black Blue Black Black Black Black Black Black Black Blue\nBlue Blue Black Black Black Blue Black Black Black Black Black Black Blue Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Yellow Black Pink Orange Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Pink Black Black Black Pink Green Black Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Black Pink Black Black Black Yellow\nPink Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Green Black Yellow Black Black Black Black Pink Black Black\nBlack Black Black Black Red Black Black Black Orange Black Black Black Green Black\nBlack Black Black Green Green Black Yellow Black Pink Black Orange Black Yellow Black\nBlack Black Yellow Black Black Black Red Red Black Red Black Black Black Black\nYellow Black Green Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Green Orange Black Red Yellow Green Black Pink Black Black\nBlack Black Black Red Black Black Pink Black Orange Black Black Black Orange Black\nBlack Black Black Black Red Black Black Black Red Yellow Red Black Black Black\nGreen Black Red Orange Green Black Black Black Black Green Black Red Black Black\nBlack Black Pink Black Black Orange Black Black Green Black Black Black 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.",
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},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Blue Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Blue Black Black Black Blue Blue Black Blue Black\nBlack Black Black Black Black Black Blue Blue Black Blue Black Black Black Blue\nBlue Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Blue Black Blue Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Black Black Black Blue Black Black Black Blue Black\nBlack Black Black Blue Blue Black Blue Black Blue Black Blue Black Blue Black\nBlack Black Blue Black Black Black Blue Blue Black Blue Black Black Black Black\nBlue Black Blue Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Blue Blue Blue Black Blue Black Black\nBlack Black Black Blue Black Black Blue Black Blue Black Black Black Blue Black\nBlack Black Black Black Blue Black Black Black Blue Blue Blue Black Black Black\nBlue Black Blue Blue Blue Black Black Black Black Blue Black Blue Black Black\nBlack Black Blue Black Black Blue Black Black Blue Black Black Black 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 Green Black Black Black Red Black Black Black Black Black Red Green Black Black Green Red\nBlack Yellow Black Black Black Green Black Black Green Green Red Black Black Black Green Blue Black\nRed Green Black Blue Black Black Black Yellow Black Black Black Black Black Yellow Black Black Red\nBlack Black Black Black Green Blue Black Black Black Yellow Green Black Blue Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Green Black Black Black Black Red Black Black Black\nBlue Black Black Blue Blue Black Black Black Black Black Green Yellow Blue Black Black Black Blue\nYellow Black Green Black Black Black Black Black Black Black Black Black Yellow Black Black Green Black\nBlue Black Black Blue Blue Black Black Black Black Black Green Yellow Blue Black Yellow Black Blue\nYellow Black Black Red Yellow Black Green Black Green Black Black Black Black Red Black Black Black\nBlack Black Black Black Green Blue Black Yellow Red Yellow Green Red Blue Black Red Green Red\nRed Green Black Blue Black Black Black Yellow Black Black Black Black Black Yellow Black Black Red\nYellow Yellow Black Green Black Green Green Green Green Green Red Black Black Black Green Blue Black\nYellow Green Black Red Black Red Black Black Black Black Black Red Green Black Green Green Red\n\nOutput:\nGreen Yellow Black Black Black Black Black Yellow Black Black Black Green Yellow Black Black Black Black\nBlack Black Yellow Green Green Black Black Green Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Blue Black Green Yellow Black Black Black Black\nBlue Black Green Yellow Black Black Black Blue Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlue Yellow Green Black Black Black Black Black Blue Blue Black Black Blue Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Green Black Yellow Black Black Black Black\nBlue Yellow Green Black Black Black Black Black Blue Blue Black Black Blue Black Black Black Black\nBlack Black Black Black Green Black Green Black Yellow Yellow Black Black Yellow Black Black Black Black\nBlue Yellow Green Yellow Yellow Yellow Black Blue Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Blue Black Green Yellow Black Black Black Black\nBlack Black Yellow Green Green Green Green Green Black Green Black Yellow Yellow Black Black Black Black\nGreen Yellow Black Black Black Black Black Yellow Black Yellow Black Green Yellow Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Red Black Black Black Red Black Red Red Black Black Black\nBlack Black Blue Black Yellow Black Black Black Black Black Yellow Black Black Black Red\nYellow Blue Green Black Black Blue Black Black Blue Black Yellow Black Black Black Black\nRed Black Black Yellow Yellow Black Black Black Blue Black Green Yellow Black Blue Black\nBlack Red Black Black Black Green Black Yellow Black Yellow Blue Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Red Blue Red Black Black Black Black Black Black Yellow Black Green Yellow Green\nBlack Red Red Blue Yellow Green Black Yellow Black Yellow Blue Black Black Blue Black\nRed Black Black Yellow Yellow Green Black Black Blue Black Green Yellow Black Blue Black\nYellow Blue Green Blue Black Blue Red Black Blue Black Yellow Black Black Green Black\nBlack Black Blue Black Yellow Black Black Green Black Black Yellow Black Blue Red Red\nYellow Black Black Black Red Black Black Black Red Black Red Red Black Black Yellow\n\nOutput:\nBlack Yellow Yellow Black Yellow Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Yellow Black Blue Black Black Black Black\nBlack Black Yellow Black Blue Black Black Blue Black Black Green Blue Black Black Black\nBlack Yellow Green Black Blue Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Blue Yellow Black Yellow Black Green Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Blue Black Black Black Black\nGreen Black Yellow Black Black Black Black Black Black Yellow Blue Yellow Black Black Black\nBlack Black Blue Yellow Black Yellow Black Green Yellow Blue Yellow Yellow Black Black Black\nBlack Yellow Green Black Blue Black Black Green Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Black Blue Black Yellow Blue Black Blue Green Blue Black Black Black\nBlue Black Yellow Black Black Green Black Black Yellow Black Blue Black Black Black Black\nBlack Yellow Yellow Black Yellow Black Black Black Yellow Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Yellow Black Black Black Black Blue Red Black Black Yellow Black Black Black Black Red\nBlack Black Black Blue Blue Green Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Red Black Yellow Black Black Black Black Black\nBlack Yellow Black Black Red Black Black Blue Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Red Yellow Green Yellow Black Black Black Red Black\nGreen Black Yellow Black Black Black Black Black Black Black Blue Black Blue Black Black Green\nGreen Black Yellow Black Black Black Black Black Green Black Blue Black Blue Yellow Black Green\nBlack Green Black Black Black Black Red Red Yellow Green Yellow Blue Green Black Red Black\nBlack Yellow Black Black Red Black Black Blue Blue Black Blue Black Black Black Black Red\nBlack Black Black Blue Black Yellow Yellow Black Red Blue Yellow Black Black Black Black Black\nBlack Black Black Blue Blue Green Green Black Black Red Black Red Yellow Black Black Black\nBlack Yellow Black Blue Black Black Blue Red Blue Black Yellow Green Black Black Black Red\n\nOutput:\nBlack Black Yellow Black Black Yellow Blue Black Black Black Black Yellow Black Black Black Black\nBlack Yellow Black Black Black Black Black Green Blue Blue Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Yellow Black Black Yellow Black Black Black Black\nBlack Black Yellow Green Yellow Yellow Black Black Black Black Black Green Black Black Black Black\nBlue Black Blue Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlue Black Blue Black Green Black Black Black Black Black Yellow Black Black Black Black Black\nGreen Blue Yellow Green Yellow Yellow Yellow Black Black Black Black Green Black Black Black Black\nBlack Black Blue Black Blue Blue Black Black Yellow Black Black Yellow Black Black Black Black\nBlack Black Yellow Blue Yellow Black Yellow Yellow Black Blue Black Black Black Black Black Black\nYellow Yellow Black Yellow Black Black Green Green Blue Blue Black Black Black Black Black Black\nBlack Green Yellow Black Blue Yellow Blue Black Black Blue Black Yellow Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Black Black Black Black Red Red Black Black Green Black Yellow Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Green Black\nRed Green Black Yellow Black Black Black Black Red Black Black Red Black Red\nBlack Green Red Black Black Black Black Green Black Black Green Black Black Blue\nBlack Black Black Yellow Red Yellow Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Red Blue Red Black Red Black Blue Black Black\nRed Green Black Black Black Black Black Black Black Green Black Red Green Black\nRed Green Black Yellow Blue Black Blue Black Black Green Black Red Green Black\nBlack Blue Black Black Black Red Blue Red Black Red Black Blue Green Black\nBlack Black Black Yellow Red Yellow Black Black Blue Blue Red Black Black Black\nBlack Green Red Black Black Black Black Green Black Black Green Black Black Blue\nRed Green Black Yellow Black Black Green Black Red Yellow Red Red Black Red\nBlack Black Black Red Red Black Black Black Green Black Blue Black Green Black\nRed Black Black Black Black Red Red Red Black Yellow Green Black 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 Yellow Black Green Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Yellow Black Yellow Black Black Yellow Black Black Black Black Yellow Black Green\nBlack Blue Black Black Green Black Black Green Black Black Black Black Yellow Green\nBlack Black Black Black Black Black Blue Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Blue Black Yellow Black Yellow Blue Yellow Black Black Black Black\nBlack Black Green Yellow Black Green Black Black Black Black Black Black Black Green\nBlack Black Green Yellow Black Green Black Black Blue Black Blue Yellow Black Green\nBlack Black Green Blue Black Yellow Black Yellow Blue Yellow Black Black Black Blue\nBlack Black Black Black Yellow Blue Blue Black Black Yellow Yellow Yellow Black Black\nBlack Blue Black Black Green Black Black Green Black Black Black Black Yellow Green\nBlack Yellow Black Yellow Yellow Yellow Yellow Black Green Black Black Yellow Black Green\nBlack Black Green Black Blue Black Green Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Black Green Yellow Black Yellow Yellow Yellow 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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 Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Purple Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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 Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Purple Purple Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Pink Pink Pink Pink Pink Purple Purple Black Black Black Black Blue Blue Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen Black Black Black Green Black Black Black Black\nBlack Green Black Green Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black\nBlack Green Black Green Black Black Black Black Black\nGreen Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Black Black Black Green Black Black Black Black\nBlack Green Black Green Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black\nBlack Green Black Green Black Black Black Black Black\nGreen Black Black Black Green Black Black Black Black\n\n\nExample 2\nInput:\nGreen Black Black Green Black Black Black\nBlack Green Green Black Black Black Black\nBlack Green Green Black Black Black Black\nGreen Black Black Green Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGreen Black Black Green Black Black Black\nBlack Green Green Black Black Black Black\nBlack Green Green Black Black Black Black\nGreen Black Black Green Black Black Black\n\n\nExample 3\nInput:\nPurple Black Purple Black Black\nBlack Purple Black Black Black\nPurple Black Purple Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nPurple Black Purple Black Black\nBlack Purple Black Black Black\nPurple Black Purple Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Red Black Black\nBlack Red Black Black Black\nRed Black Red Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Black Black Black Black\nRed Black Red Black Black\nBlack Red Black Black Black\nRed Black Red Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Purple Purple Green Orange Purple Purple Green Yellow Yellow Yellow\nBlue Orange Red Brown Blue Orange Red Brown Yellow Yellow Yellow\nPink Green Purple Orange Pink Green Purple Orange Yellow Yellow Yellow\nGreen Purple Blue Green Green Purple Blue Green Yellow Yellow Yellow\nOrange Purple Purple Green Orange Purple Purple Green Yellow Yellow Yellow\nBlue Orange Red Brown Blue Orange Red Brown Yellow Yellow Yellow\nPink Green Purple Orange Pink Green Purple Orange Yellow Yellow Yellow\nGreen Purple Blue Green Green Purple Blue Green Yellow Yellow Yellow\nOrange Purple Purple Green Orange Purple Purple Green Yellow Yellow Yellow\nBlue Orange Red Brown Blue Orange Red Brown Yellow Yellow Yellow\nPink Green Purple Orange Pink Green Purple Orange Yellow Yellow Yellow\nGreen Purple Blue Green Green Purple Blue Green Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nBlue Orange Red Brown Blue Orange Red Brown Blue Orange Red\nPink Green Purple Orange Pink Green Purple Orange Pink Green Purple\nGreen Purple Blue Green Green Purple Blue Green Green Purple Blue\nOrange Purple Purple Green Orange Purple Purple Green Orange Purple Purple\nBlue Orange Red Brown Blue Orange Red Brown Blue Orange Red\nPink Green Purple Orange Pink Green Purple Orange Pink Green Purple\nGreen Purple Blue Green Green Purple Blue Green Green Purple Blue\nOrange Purple Purple Green Orange Purple Purple Green Orange Purple Purple\nBlue Orange Red Brown Blue Orange Red Brown Blue Orange Red\nPink Green Purple Orange Pink Green Purple Orange Pink Green Purple\nGreen Purple Blue Green Green Purple Blue Green Green Purple Blue\nOrange Purple Purple Green Orange Purple Purple Green Orange Purple Purple\nBlue Orange Red Brown Blue Orange Red Brown Blue Orange Red\n\n\nExample 2\nInput:\nRed Yellow Orange Blue Red Yellow Orange Blue Red Yellow Orange Blue Green\nPink Red Pink Purple Pink Red Pink Purple Pink Red Pink Purple Green\nRed Yellow Orange Blue Red Yellow Orange Blue Red Yellow Orange Blue Green\nPink Red Pink Purple Pink Red Pink Purple Pink Red Pink Purple Green\nRed Yellow Orange Blue Red Yellow Orange Blue Red Yellow Orange Blue Green\nPink Red Pink Purple Pink Red Pink Purple Pink Red Pink Purple Green\nRed Yellow Orange Blue Red Yellow Orange Blue Red Yellow Orange Blue Green\nPink Red Pink Purple Pink Red Pink Purple Pink Red Pink Purple Green\nRed Yellow Orange Blue Red Yellow Orange Blue Red Yellow Orange Blue Green\nPink Red Pink Purple Pink Red Pink Purple Pink Red Pink Purple Green\nRed Yellow Orange Blue Red Yellow Orange Blue Red Yellow Orange Blue Green\nPink Red Pink Purple Pink Red Pink Purple Pink Red Pink Purple Green\n\nOutput:\nPink Red Pink Purple Pink Red Pink Purple Pink Red Pink Purple Pink\nRed Yellow Orange Blue Red Yellow Orange Blue Red Yellow Orange Blue Red\nPink Red Pink Purple Pink Red Pink Purple Pink Red Pink Purple Pink\nRed Yellow Orange Blue Red Yellow Orange Blue Red Yellow Orange Blue Red\nPink Red Pink Purple Pink Red Pink Purple Pink Red Pink Purple Pink\nRed Yellow Orange Blue Red Yellow Orange Blue Red Yellow Orange Blue Red\nPink Red Pink Purple Pink Red Pink Purple Pink Red Pink Purple Pink\nRed Yellow Orange Blue Red Yellow Orange Blue Red Yellow Orange Blue Red\nPink Red Pink Purple Pink Red Pink Purple Pink Red Pink Purple Pink\nRed Yellow Orange Blue Red Yellow Orange Blue Red Yellow Orange Blue Red\nPink Red Pink Purple Pink Red Pink Purple Pink Red Pink Purple Pink\nRed Yellow Orange Blue Red Yellow Orange Blue Red Yellow Orange Blue Red\n\n\nExample 3\nInput:\nRed Orange Red Red Orange Red Red Orange Red Green\nPink Yellow Blue Pink Yellow Blue Pink Yellow Blue Green\nPurple Brown Orange Purple Brown Orange Purple Brown Orange Green\nBrown Purple Pink Brown Purple Pink Brown Purple Pink Green\nRed Orange Red Red Orange Red Red Orange Red Green\nPink Yellow Blue Pink Yellow Blue Pink Yellow Blue Green\nPurple Brown Orange Purple Brown Orange Purple Brown Orange Green\nBrown Purple Pink Brown Purple Pink Brown Purple Pink Green\nRed Orange Red Red Orange Red Red Orange Red Green\nPink Yellow Blue Pink Yellow Blue Pink Yellow Blue Green\nPurple Brown Orange Purple Brown Orange Purple Brown Orange Green\nBrown Purple Pink Brown Purple Pink Brown Purple Pink Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\nOutput:\nPink Yellow Blue Pink Yellow Blue Pink Yellow Blue Pink\nPurple Brown Orange Purple Brown Orange Purple Brown Orange Purple\nBrown Purple Pink Brown Purple Pink Brown Purple Pink Brown\nRed Orange Red Red Orange Red Red Orange Red Red\nPink Yellow Blue Pink Yellow Blue Pink Yellow Blue Pink\nPurple Brown Orange Purple Brown Orange Purple Brown Orange Purple\nBrown Purple Pink Brown Purple Pink Brown Purple Pink Brown\nRed Orange Red Red Orange Red Red Orange Red Red\nPink Yellow Blue Pink Yellow Blue Pink Yellow Blue Pink\nPurple Brown Orange Purple Brown Orange Purple Brown Orange Purple\nBrown Purple Pink Brown Purple Pink Brown Purple Pink Brown\nRed Orange Red Red Orange Red Red Orange Red Red\nPink Yellow Blue Pink Yellow Blue Pink Yellow Blue Pink\nPurple Brown Orange Purple Brown Orange Purple Brown Orange Purple\n\n\nHere is the input grid for the test example:\nInput:\nGreen Orange Green Orange Green Orange Green Orange Green Orange Green Orange Green Orange\nBrown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue\nPink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow\nGreen Orange Green Orange Green Orange Green Orange Green Orange Green Orange Green Orange\nBrown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue\nPink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow\nGreen Orange Green Orange Green Orange Green Orange Green Orange Green Orange Green Orange\nBrown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue\nPink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow\nGreen Orange Green Orange Green Orange Green Orange Green Orange Green Orange Green Orange\nBrown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue\nPink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue\nPink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow\nGreen Orange Green Orange Green Orange Green Orange Green Orange Green Orange Green Orange\nBrown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue\nPink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow\nGreen Orange Green Orange Green Orange Green Orange Green Orange Green Orange Green Orange\nBrown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue\nPink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow\nGreen Orange Green Orange Green Orange Green Orange Green Orange Green Orange Green Orange\nBrown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue\nPink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow\nGreen Orange Green Orange Green Orange Green Orange Green Orange Green Orange Green Orange\nBrown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue Brown Blue\nPink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow Pink Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black Black Black Purple\nBlack Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Purple Black\nPurple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Black\nPurple Purple Purple Purple Black Purple Black Purple Purple Purple Purple Purple Black\nPurple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Purple Black Black\nBlack 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Purple Black\nPurple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Black\nPurple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Black\nPurple Purple Purple Purple Black Black Black Purple Purple Purple Purple Purple Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black 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 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 Orange Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Black\nBlack Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Black\nBlack Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nOrange Orange Orange Orange Orange Black Black Black Orange Black Black Black Orange Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Black Black Black Orange Black Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Orange Black Black Orange Orange Orange Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Black\nBlack Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Black\nBlack Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black\n\n\nExample 3\nInput:\nGray Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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 Pink Pink Pink Pink Black Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Pink Pink Pink Black Pink Black Black\nBlack Black Pink Pink Pink Pink Black Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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 Pink Pink Pink Pink Black Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Brown Brown Brown Brown Brown 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\nBlack Black Brown Brown Brown Brown Brown Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown 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\nBlack Black Brown Brown Brown Brown Brown Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Black Black\nBlack Black Black Red Red Red Red Red Black Black Gray Gray Gray Blue Blue Blue Blue Blue Black Black\nBlack Black Black Red Red Red Red Red Black Black Gray Gray Gray Blue Blue Blue Blue Blue Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Blue Blue Blue Blue Blue Black Black\nBlack Black Black Red Red Red Red Red Black Black Gray Gray Gray Blue Blue Blue Blue Blue Black Black\nBlack Black Black Red Red Red Red Red Black Black Gray Gray Gray Blue Blue Blue Blue Blue Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Brown Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Brown Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Black Black Brown Brown Brown Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Brown Brown Brown Black Black Brown Brown Brown Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black 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 Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black 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 Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Brown Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Red Brown Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Brown Black Red Red Black Black Black Black Black Black\nBlack Black Pink Black Pink Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Red Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Orange Orange 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black 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 Pink Red Brown Pink 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 Green Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Blue Pink Pink Blue Green Black Black Black Black Black Black\nBlack Black Black Black Pink Black Green Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Green\nBlack Black Black Black Black Blue Pink\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 Brown Black Brown Black Orange Black Black Black Black\nBlack Red Black Red Orange Red Black Black Black Black\nBlack Black Brown Black Black Red Black Black Black Black\nBlack Brown Red Black Black Yellow Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Brown Black Brown Black Orange Black\nBlack Black Red Black Red Orange Red Black\nBlack Black Black Brown Black Black Red Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Yellow Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Yellow Black Black\nBlack Black Gray Black Black\nYellow Gray Yellow Black Yellow\nBlack Black Black Black Black\nBlack Black Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Green Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Green Black Black\nBlack Black Gray Black Black\nGreen Gray Green Black Green\nBlack Black Black Black Black\nBlack Black Green Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Gray Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Gray Black Black\nBlack Black Gray Black Black\nGray Gray Gray Black Gray\nBlack Black Black Black Black\nBlack Black Gray 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 Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Purple Black Black\nBlack Black Gray Black Black\nPurple Gray Purple Black Purple\nBlack Black Black Black Black\nBlack Black Purple Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Blue 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\nBlack Black 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 Green\nBlack Green Black\nGreen Black Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black\n\nOutput:\nGreen Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black\nGreen Black Green Black Black Black Black Black Black\nGreen Black Black Green Black Black Black Black Black\nGreen Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Green\n\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 Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Black\nBlack 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 Blue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black\nBlack Black Black Green Black Black Black Black\nBlack Black Black Black 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 Green Red Black Black Red Green Black\nBlack Black Black Black Green Green Green Green Green Black Green Red Red Red Red Green Black\nBlack Black Black Black Green Black Red Black Green Black Green Red Red Red Red Green Black\nBlack Black Black Black Green Red Red Red Green Black Green Red Black Black Red Green Black\nBlack Black Black Black Green Green Green Green Green Black Green Green Green Green Green Green Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Red Red Red Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Red Red Red Red Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Green Green Green Green Black Black Black Black Black Black Black Green Red 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 Green Red Black Black Red Green Black\nBlack Black Black Black Green Green Green Green Green Black Green Red Red Red Red Green Black\nBlack Black Black Black Green Black Yellow Black Green Black Green Red Red Red Red Green Black\nBlack Black Black Black Green Yellow Yellow Yellow Green Black Green Red Black Black Red Green Black\nBlack Black Black Black Green Green Green Green Green Black Green Green Green Green Green Green Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Yellow Yellow Yellow Yellow Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Yellow Yellow Yellow Yellow Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black Red Green Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Green Green Green Green Black Black Black Black Black Black Black Green Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Green Red Red Green Black Black Black\nBlack Black Green Green Green Green Green Green Green Red Red Green Black Black Black\nBlack Black Green Red Red Blue Blue Green Green Green Green Green Black Black Black\nBlack Black Green Black Black Green Blue Green Black Black Black Black Black Black Black\nBlack Black Green Red Red Blue Blue Green Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nGreen Red Red Red Green Black Black Green Green Green Green Black Black Black Black\nGreen Red Red Red Green Black Black Green Green Green Green Red Red Black Black\nGreen Green Green Green Green Black Black Green Green Green Green Red Red Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Red Red Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Green Red Red Green Black Black Black\nBlack Black Green Green Green Green Green Green Green Red Red Green Black Black Black\nBlack Black Green Yellow Yellow Yellow Yellow Green Green Green Green Green Black Black Black\nBlack Black Green Black Black Green Yellow Green Black Black Black Black Black Black Black\nBlack Black Green Yellow Yellow Yellow Yellow Green Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Black Black Black Black\nGreen Yellow Yellow Yellow Green Black Black Green Green Green Green Black Black Black Black\nGreen Yellow Yellow Yellow Green Black Black Green Green Green Green Red Red Black Black\nGreen Green Green Green Green Black Black Green Green Green Green Red Red Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Red Red Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Green Blue Blue Green Black Black Black Black Black\nBlack Black Black Black Black Green Blue Blue Green Green Red Black Black Black\nBlack Black Black Black Black Green Blue Blue Green Green Red Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Blue Green Green Blue\nBlack Black Black Black Black Black Black Black Black Green Blue Green Green Blue\nBlack Black Black Black Black Black Blue Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Blue Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Green Blue Blue Green Black Black Black Black Black\nBlack Black Black Black Black Green Blue Blue Green Green Red Black Black Black\nBlack Black Black Black Black Green Blue Blue Green Green Red Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Yellow Green Green Blue\nBlack Black Black Black Black Black Black Black Black Green Yellow Green Green Blue\nBlack Black Black Black Black Black Blue Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Blue Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Red Red Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack 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 Blue Blue Black Black\nBlack 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 Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Yellow Yellow Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack 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 Blue Blue Black Black\nBlack 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 Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Purple Orange Pink Black Black\nBlack Black Yellow Yellow Pink Black Black\nBlack Black Brown Purple Gray Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black\nBlack Purple Purple Purple Pink Black Black\nBlack Purple Purple Purple Pink Black Black\nBlack Black Brown Purple Gray Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Pink Orange Yellow Black Black\nBlack Black Blue Green Red Black Black\nBlack Black Green Pink Blue Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black\nBlack Pink Pink Pink Yellow Black Black\nBlack Pink Pink Pink Red Black Black\nBlack Black Green Pink Blue Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Orange Gray Brown Black Black\nBlack Black Yellow Green Yellow Black Black\nBlack Black Red Green Blue Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Brown Black Black\nBlack Orange Orange Orange Yellow Black Black\nBlack Black Red Green Blue 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\nBlack Black Black Black Black Black Black\nBlack Black Gray Pink Gray Black Black\nBlack Black Green Gray Pink Black Black\nBlack Black Brown Gray Brown Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Pink Black Black\nBlack Black Brown Gray Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Red Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Yellow Yellow Red Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Red Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Red Red Red Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Red Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Red Black Black Black Black Yellow Yellow Yellow Black Black\nBlack 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 Black Black\nBlack 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\nBlack Black Black Black 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\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Red Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Red Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Black Black\nRed Black Black Black Black Black Black 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\nBlack Black Yellow Yellow Yellow 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\nBlack Black Yellow Yellow Yellow 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\nBlack Black Black 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 Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Black Black\nRed Black Black Black Black Black Black 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\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red 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\nBlack Black Black 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 Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Red 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Red Red Red 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:\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow\nYellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow\nYellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow Brown\nBrown Yellow Brown Yellow Brown Yellow Brown Yellow Brown Yellow\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nGreen Orange Green Orange Green Orange Green Orange Green Orange\nOrange Green Orange Green Orange Green Orange Green Orange Green\nGreen Orange Green Orange Green Orange Green Orange Green Orange\nOrange Green Orange Green Orange Green Orange Green Orange Green\nGreen Orange Green Orange Green Orange Green Orange Green Orange\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGray Pink Gray Pink Gray Pink Gray Pink Gray Pink\nPink Gray Pink Gray Pink Gray Pink Gray Pink Gray\nGray Pink Gray Pink Gray Pink Gray Pink Gray Pink\nPink Gray Pink Gray Pink Gray Pink Gray Pink Gray\nGray Pink Gray Pink Gray Pink Gray Pink Gray Pink\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nRed Brown Red Brown Red Brown Red Brown Red Brown\nBrown Red Brown Red Brown Red Brown Red Brown Red\nRed Brown Red Brown Red Brown Red Brown Red Brown\nBrown Red Brown Red Brown Red Brown Red Brown Red\nRed Brown Red Brown Red Brown Red Brown Red Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow 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\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nYellow Yellow Yellow Yellow Black 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 Black 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 Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 3\nInput:\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 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 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 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 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 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 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 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 Black Black Black Black Black Black Black\nBlack Black 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 Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black 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 Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Brown Black Black Brown Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Brown Black Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Brown Black Black Brown Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Yellow Yellow Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Yellow Yellow Yellow Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Yellow Yellow Orange Black Brown Black Black Brown Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Yellow Yellow Brown Black Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Brown Yellow Yellow Brown Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Orange Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Yellow Black Yellow Green Green Black Black Green Green Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Green Green Black Brown Brown Brown Brown Black Black\nBlack Black Yellow Yellow Green Green Black Black Green Green Brown Brown Black Black Black\nBlack Yellow Yellow Yellow Black Green Green Green Green Brown Black Black Brown Black Black\nBlack Yellow Black Yellow Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Orange Yellow Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Green Green Yellow Green Black Black Black Black Black Black\nBlack Yellow Black Yellow Green Yellow Yellow Yellow Yellow Green Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Black Black\nBlack Black Yellow Yellow Green Yellow Yellow Yellow Yellow Yellow Yellow Brown Black Black Black\nBlack Yellow Yellow Yellow Black Green Green Green Green Brown Yellow Yellow Brown Black Black\nBlack Yellow Black Yellow Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Purple Black Black Black Black\nBlack Black Black Gray Black Black Black Black Gray Purple Purple Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Purple Purple 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\nBlack Black Black Black Black Black Black Black 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 Gray Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Purple Black Black Black Black\nBlack Black Black Gray Black Black Black Black Gray Purple Purple Yellow Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Yellow Yellow Yellow Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Yellow Yellow Yellow Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Yellow Purple Purple 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\nBlack Black Black Black Black Black Black Black 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 Gray Gray Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Red Red Red Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Red Red Black Black\nBlack Black Gray Gray Gray Black Black Black Black Red Red Red Black Black\nBlack Gray Black Black Black Gray Black Black Black Red Red Black Red Black\nBlack Gray Gray Black Gray Gray Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Orange Black Black Black Orange Red Red Red Black Black\nBlack Black Black Orange Black Orange Orange Orange Black Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Black Orange 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 Gray Gray Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Red Red Red Black Black\nBlack Black Gray Yellow Gray Black Black Black Black Black Red Red Black Black\nBlack Black Gray Gray Gray Black Black Black Black Red Yellow Red Black Black\nBlack Gray Black Black Black Gray Black Black Black Red Yellow Yellow Red Black\nBlack Gray Gray Black Gray Gray Black Black Black Red Yellow Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Orange Black Black Black Orange Red Red Red Black Black\nBlack Black Black Orange Yellow Orange Orange Orange Yellow Orange Black Black Black Black\nBlack Black Black Black Orange Black Black Black Orange 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 Purple Purple Black Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black 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\nBlack Black 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 Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\n\nOutput:\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 Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Blue Blue Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nGray Gray Gray Gray Black Pink Pink Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Pink Pink Black Black Black Black Black Black Black\nGray Gray Gray Gray 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 Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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```\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:\nPink Pink Pink Black Black\nPink Pink Pink Black Black\nPink Pink Pink Black Black\nBlack Black Black Black Black\n\nOutput:\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Gray Gray Black Black\nBlack Gray Gray Black Black\nBlack Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nPink Pink Black\nPink Pink Black\nBlack Black Black\n\nOutput:\nPink Pink Pink\nPink Pink Pink\nPink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Pink Pink Black\nBlack Pink Pink 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```\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink Pink Pink Pink Pink\nPink 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black Green Green Green Green Black\nBlack Black Green Green Black Green Green Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Green Green Green Green Black Black Black Black Black Green Black Green Green Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Green Green Green Green Black\nBlack Black 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 Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Green Green Green Green Black Black Black Black Black Green Green Green Green Black\nBlack Black Green Green Yellow Green Green Black Black Black Black Black Green Green Green Green Black\nBlack Black Yellow Green Green Green Green Black Black Black Black Black Green Yellow Green Green Black\nBlack Black Yellow Yellow Green Green Green Black Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Yellow Yellow Green Green Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Yellow Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nGreen Green Black Green Green Black Black Green Green Green Black Black Black Black Black\nBlack Green Green Green Black Black Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Black Green Black Green Black Green Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green 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 Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Green Green Black Yellow Green Green Green Yellow Black Black Black Black\nYellow Green Green Green Yellow Black Green Green Green Green Green Black Black Black Black\nGreen Green Green Green Green Black Green Yellow Green Yellow Green Black Black Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Green Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Green Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Green Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Green Yellow Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Yellow Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Yellow Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Yellow Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Green Green Black Black Black\nBlack Green Green Green Green Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Green Green Black Black Black Black Green Green Yellow Black Black\nBlack Green Green Green Green Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Green Green Yellow Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Black Yellow Yellow Yellow Green Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Yellow Black Black Black\nBlack Blue Blue Blue Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Blue Orange Orange Orange Orange Black Black Black Black Black\nBlack 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\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 Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Purple Purple Black Black\nBlack Blue Blue Blue Black Orange Orange Black Black Purple Black Black Black\nBlack Black Black Blue Orange Orange Orange Orange Black Black Black Black Black\nBlack 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\n\n\nExample 2\nInput:\nBlack Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black\nBlack Green Black Green Black Black Black Black Black Black Black Black\nBlack Green Black Green Black Black Black Red Red Black Black Black\nBlack Green Green Green Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\n\nOutput:\nBlack Black Black Black Purple Purple 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black\nBlack Green Black Green Black Black Black Black Black Black Black Black\nBlack Green Black Green Black Black Black Red Red Black Black Black\nBlack Green Green Green Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Red 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 Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Yellow Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink 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 Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Purple Purple\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Purple Black\nBlack Black Black Black Black Pink Pink Pink 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 Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Red Black Black Blue Blue Black Black Black Yellow Black Black Black\nBlack Red Red Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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 Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Red Black Black Blue Blue Black Black Black Purple Purple Black Black\nBlack Red Red Black Black Black Blue Black Black Black Purple 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\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 Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Red Red Red Red Red Red Red Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red 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 Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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"
}
] |