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{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Blue Blue Blue Black Black\nBlack Black 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 Black Black Black Brown Brown Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange 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 Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple Black Red Red Black\nPink Pink Pink Black Red Red Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black\nBlack Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Black Red Red Black\nRed Red Red Black Red Red Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Red Black Black Black Black Black\nBlack Red Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Green Green Black Black Black Black\nPink Pink Black Black Black Black Black\nPink Pink Red Red Red Black Black\nPurple Black Red Red Red Brown Black\nBlack Black Black Black Brown Brown Black\nBlack Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black\n\nOutput:\nRed Red Red Black Black Black Black\nRed Red Black Black Black Black Black\nRed Red Red Red Red Black Black\nRed Black Red Red Red Red Black\nBlack Black Black Black Red Red Black\nBlack Black Black Black Red Red 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 Yellow Black Black Black\nBlack Black Black Black Black Yellow 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 Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Gray Pink Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Pink Black\nBlack 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 Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Red Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Purple Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Red Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Purple Black Red Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Purple Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Red Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Purple Black Red Black Black Black Black\nBlack Gray Pink Black Black Black Blue Black Black Black Black Purple Black Red Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 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 Blue Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Purple Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Blue Purple Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Blue Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Purple Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Blue Purple Black Black Blue Black Black\nRed Black Black Black Black Black Black Black Black Blue Purple Blue Blue Blue Black Black\nRed Black Black Black Black Black Black Black Black Blue Purple Black Black Blue Black Black\nRed Black Black Black Black Black Black Black Black Blue Purple Black Black Blue Black Black\nRed Black Black Black Black Black Black Black Black Blue Purple Black Black Blue Black Black\nRed Black Black Black Black Black Black Black Black Blue Purple Black Black Blue Black Black\nRed Black Black Black Black Black Black Black Black Blue Purple Black Black Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nPurple Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Purple 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 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\nBlack 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\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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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\nBlack Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Brown Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Yellow 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 Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Green Green Green Black Yellow Green Black Black Black\nBlack Green Green Green Black Yellow Black Black Black Black\nBlack Green Green Green Black Yellow Black Black Black Black\nBlack Black Black Green Black Yellow Green Black Black Black\nBlack Black Black Black Black Yellow Green Green Black Black\nBlack Black Black Black Green Yellow Green Green Black Black\nBlack Black Green Black Black Yellow Green Green Black Green\nBlack Black Black Black Black Yellow Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Green Green Green Black Yellow Black Black Black Black\nBlack Green Green Green Black Yellow Black Black Black Black\nBlack Green Green Green Black Yellow Black Black Black Black\nBlack Black Black Green Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Green Black Black Yellow Black Black Black Green\nBlack Black Black Black Black Yellow Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Green Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Green Green Black Black\nGreen Black Black Black Black Yellow Green Green Black Black\nBlack Green Black Black Black Yellow Green Green Black Black\nGreen Black Black Black Black Yellow Green Black Black Black\nBlack Black Green Green Green Yellow Black Black Black Green\nBlack Black Green Green Green Yellow Black Black Black Black\nBlack Black Green Green Green Yellow Black Black Black Green\nBlack Black Black Black Black Yellow Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Green Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nGreen Black Black Black Black Yellow Black Black Black Black\nBlack Green Black Black Black Yellow Black Black Black Black\nGreen Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Green\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Green\nBlack Black Black Black Black Yellow Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Yellow Green Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Green Black Black Black Yellow Green Green Green Black\nBlack Green Green Green Black Yellow Green Green Green Black\nBlack Green Green Green Black Yellow Green Green Green Black\nBlack Green Green Green Green Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Green Black Yellow Black Black Black Black\nBlack Black Green Black Black Yellow Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Green Black Yellow Black Black Black Black\nBlack Black Green Black Black Yellow Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Green Green Green Yellow Green Green Green Black\nBlack Black Green Green Green Yellow Green Green Green Black\nBlack Black Green Green Green Yellow Green Green Green Black\nBlack Black Black Black Green Yellow Black Black Green Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nGreen Black Black Black Green Yellow Green Black Black Black\nBlack Black Black Black Green Yellow Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nGreen Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black 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:\nYellow Black Black Black Black Black Black Blue\nBlack Black Pink Pink Pink Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Black\nOrange Black Black Black Black Black Black Purple\n\nOutput:\nYellow Black Black Black Black Black Black Yellow\nBlack Black Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Yellow Black\nYellow Black Black Black Black Black Black Yellow\n\n\nExample 2\nInput:\nPurple Black Black Black Black Black Gray\nBlack Black Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Black Yellow Yellow Black\nBlack Yellow Yellow Black Yellow Yellow Black\nBrown Black Black Black Black Black Pink\n\nOutput:\nPurple Black Black Black Black Black Purple\nBlack Black Purple Purple Purple Black Black\nBlack Purple Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Purple Black\nBlack Purple Purple Black Purple Purple Black\nBlack Purple Purple Black Purple Purple Black\nPurple Black Black Black Black Black Purple\n\n\nExample 3\nInput:\nOrange Black Black Black Black Black Black Black Blue\nBlack Black Brown Brown Brown Brown Brown Black Black\nBlack Brown Brown Brown Black Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Black Brown Brown Brown Black\nBlack Brown Brown Brown Black Brown Brown Brown Black\nPurple Black Black Black Black Black Black Black Gray\n\nOutput:\nOrange Black Black Black Black Black Black Black Orange\nBlack Black Orange Orange Orange Orange Orange Black Black\nBlack Orange Orange Orange Black Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Black Orange Orange Orange Black\nBlack Orange Orange Orange Black Orange Orange Orange Black\nOrange Black Black Black Black Black Black Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Black Black Black Black Black Black Orange\nBlack Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Black Pink Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black Black Black\nBlack Black Pink Black Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Black Black\nPurple 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```\nRed Black Black Black Black Black Black Black Red\nBlack Black Black Red Red Black Black Black Black\nBlack Black Red Red Red Black Red Black Black\nBlack Black Black Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Black Black Black\nBlack Black Red Black Red Red Red Black Black\nBlack Black Black Black Red Red Black Black Black\nRed Black Black Black Black Black Black Black Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black Black Black Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Orange\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Orange Black Black Black Orange\nBlack Black Black Orange Black Black Black Black Orange Black Black Black Orange Orange Orange Orange Orange\nBlack Black Black Orange Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black 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 Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Green\nBlack Black Black Green Green Green Green Green Green Black Black Black Green Black Black Black Green\nBlack Black Black Green Black Black Black Black Green Black Black Black Green Green Green Green Green\nBlack Black Black Green Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Green 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 Black\nBlack Black Black Black Black Black Black Black Black Black 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\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Orange Black Black Orange Black Black\nBlack Black Orange Black Black Black Black Orange Black Orange Black Black Orange Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Black Orange Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange 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 Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Green Black Black Green Black Black\nBlack Black Green Black Black Black Black Green Black Green Black Black Green Black Black\nBlack Black Green Green Green Green Green Green Black Green Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green 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 Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Orange Orange Orange Black Black Orange Orange Orange Black Black Black Black\nBlack Black Orange Black Orange Black Black Orange Black Orange Black Black Black Black\nBlack Black Orange Black Orange Black Black Orange Black Orange Black Black Black Black\nBlack Black Orange Orange Orange Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Green Green Black Black Green Green Green Black Black Black Black\nBlack Black Green Black Green Black Black Green Black Green Black Black Black Black\nBlack Black Green Black Green Black Black Green Black Green Black Black Black Black\nBlack Black Green Green Green Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Brown Black Green Black Brown Black Black\nBlack Black Black Brown Black Green Black Brown Black Black\nBlack Black Black Green Green Purple Green Black Black Black\nBlack Black Black Brown Brown Green Brown Black Black Black\nBlack Black Black Brown Black Green Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown Brown Green Brown Brown Black Black\nBlack Black Black Brown Brown Green Brown Brown Black Black\nBlack Black Black Green Green Purple Green Green Black Black\nBlack Black Black Brown Brown Green Brown Brown Black Black\nBlack Black Black Brown Brown Green Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow 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 Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Pink Black Black Black Black Black\nBlack Pink Black Purple Red Black Black Black Black Black\nBlack Pink Purple Green Black Pink Black Black Black Black\nBlack Black Red Purple Black Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Pink Pink Black Black Black Black Black\nBlack Pink Red Purple Red Black Black Black Black Black\nBlack Pink Purple Green Purple Pink Black Black Black Black\nBlack Black Red Purple Red Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Gray Black\nBlack Black Black Black Black Gray Gray Black Gray Black\nBlack Black Black Black Black Black Blue Yellow Black Blue\nBlack Black Black Black Black Black Gray Blue Gray Black\nBlack Black Black Black Black Black Gray Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Gray Black\nBlack Black Black Black Black Gray Gray Blue Gray Blue\nBlack Black Black Black Black Blue Blue Yellow Blue Blue\nBlack Black Black Black Black Blue Gray Blue Gray Gray\nBlack Black Black Black Black Black Gray Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black\nBrown Brown Black Black Brown Black Black Black Black Black\nBlack Brown Purple Brown Black Black Black Black Black Black\nBrown Black Brown Brown Brown Black Black Black Black Black\nBrown Brown Black Brown Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Brown Black Brown Brown Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Black Black\nBlack Brown Purple Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Black Black Black Black\nBrown Brown Black Brown Brown Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Red Black Green Red Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Red Red Green Red Red Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Red Black Black Black\n\n\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 Blue Black Black Black Black Black\nBlack Black Black Orange Blue Orange Black Black Black Black\nBlack Black Blue Blue Yellow Blue Blue Black Black Black\nBlack Black Blue Black Blue Orange Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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 Blue Blue Black Black Black Black Black\nBlack Black Black Orange Blue Orange Blue Black Black Black\nBlack Black Blue Blue Yellow Blue Blue Black Black Black\nBlack Black Blue Orange Blue Orange Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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 Green Black Green Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, 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 Green Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Green Gray Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Gray Gray Gray Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Gray Gray Gray Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Gray Gray Gray Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Gray Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Gray Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black 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 Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Gray Gray Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Gray Gray Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black 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 Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Gray Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Gray Blue\nBlue Gray Gray Gray Gray Gray Gray Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Red Red Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Red Red Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue\nBlue Red Red Red Red Blue\nBlue Red Red Red Red Blue\nBlue Red Red Red Red Blue\nBlue Red Red Red Red Blue\nBlue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black 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 Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Orange Orange Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Orange Orange Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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```\nBlue Blue Blue Blue Blue Blue Blue\nBlue Orange Orange Orange Orange Black Blue\nBlue Orange Orange Orange Orange Black Blue\nBlue Orange Orange Orange Orange Black Blue\nBlue Orange Orange Orange Orange Black Blue\nBlue Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Black Black\nGray Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Purple Purple Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Purple Purple Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Gray Black Black 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 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 Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Purple Purple 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\nBlack 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Purple Purple Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Purple Purple Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Gray Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray 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 Black Black Black Black\nBlack Black Black Gray Black Purple Purple Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Purple Purple Black Gray 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 Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray 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 Black Black Black Black\nBlack Black Black Gray Black Purple Purple Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Purple Purple Black Gray 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 Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Gray Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Pink Pink Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Pink Black Black Gray Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Gray Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Brown Brown Black Black Black Black Black\nBlack Black Gray Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Pink Pink Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Pink Black Black Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Gray Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Green Green Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Orange Orange Black Gray Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Gray Black Orange Orange Black Gray Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Gray Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Orange Orange Black Gray Black Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Gray Black Orange Orange Black Gray Black Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Gray Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Blue Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Yellow\n\nOutput:\nBlack Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Brown\nBlack Black Black Black Blue Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Brown 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 Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Brown\nBlack Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Brown Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black\nBlack Black Pink Black Black Black Black\nBrown Pink Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black\nBlack Black Pink Black Black Black Black\nPink Pink Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nPurple Black Black Green Black Black\nBlack Black Black Gray Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Green\nBlack Black Black Black Black Black\nBlack Black Black Black Red 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 Black Black Black\nPurple Black Black Gray Black Black\nBlack Black Black Gray Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Green\nBlack Black Black Black Black Black\nBlack Black Black Black Red Black\nBlack Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Brown\nBlack Black Black Black Black Brown Black Brown Black Brown\nBlack Black Black Black Black Black Brown Purple Brown Black\nBlack Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Brown Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Brown Brown\nBlack Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Purple Brown Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Brown Brown Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nRed Red Green Black Red Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\nRed Red Green Red Red Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Orange Black Orange Black Black\nBlack Black Black Black Black Blue Yellow Black Blue Black\nBlack Black Black Black Black Orange Blue Orange Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Orange Blue Orange Blue Black\nBlack Black Black Black Blue Blue Yellow Blue Blue Black\nBlack Black Black Black Blue Orange Blue Orange Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Blue Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Purple Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Pink Black Purple Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Purple Purple Red Red Black Pink Black Purple Black Pink Black Black Black\nBlack Black Black Black Black Red Gray Pink Pink Purple Pink Pink Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Yellow Black Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Green Green Blue Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Blue Green Green Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Blue 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 Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Pink Pink Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nGreen Gray Purple Brown Green Gray Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nOrange Yellow Gray Brown Orange Yellow Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Purple Red Brown Pink Purple Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Gray Purple Brown Green Gray Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nOrange Yellow Gray Brown Orange Yellow Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Purple Red Brown Pink Purple Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Gray Purple Brown Green Gray Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nOrange Yellow Gray Brown Orange Yellow Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Purple Red Brown Pink Purple Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Pink Pink Brown Red Pink Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\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\nOutput:\nBrown Brown Brown Red Pink Orange Green Pink Orange Green Pink Orange Green Brown Brown Brown Brown\nBrown Brown Brown Pink Purple Yellow Gray Purple Yellow Gray Purple Yellow Gray Brown Brown Brown Brown\nBrown Brown Brown Pink Red Gray Purple Red Gray Purple Red Gray Purple Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Red Pink Orange Green Pink Orange Green Pink Orange Green Brown Brown Brown Brown\nBrown Brown Brown Pink Purple Yellow Gray Purple Yellow Gray Purple Yellow Gray Brown Brown Brown Brown\nBrown Brown Brown Pink Red Gray Purple Red Gray Purple Red Gray Purple Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Red Pink Orange Green Pink Orange Green Pink Orange Green Brown Brown Brown Brown\nBrown Brown Brown Pink Purple Yellow Gray Purple Yellow Gray Purple Yellow Gray Brown Brown Brown Brown\nBrown Brown Brown Pink Red Gray Purple Red Gray Purple Red Gray Purple Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Red Pink Orange Green Pink Orange Green Pink Orange Green Brown Brown Brown Brown\n\n\nExample 2\nInput:\nYellow Green Blue Red Yellow Green Blue Red Yellow Green Blue Red Yellow Green Blue\nPink Green Gray Blue Pink Green Gray Blue Pink Green Gray Blue Pink Green Gray\nOrange Brown Green Purple Orange Brown Green Purple Orange Brown Green Purple Orange Brown Green\nBrown Gray Brown Brown Brown Gray Brown Brown Brown Gray Brown Brown Brown Gray Brown\nYellow Green Blue Red Yellow Green Blue Red Yellow Green Blue Red Yellow Green Blue\nPink Green Gray Blue Pink Green Gray Blue Pink Green Gray Blue Pink Green Gray\nOrange Brown Green Purple Orange Brown Green Purple Orange Brown Green Purple Orange Brown Green\nBrown Gray Brown Brown Brown Gray Brown Brown Brown Gray Brown Brown Brown Gray Brown\nYellow Green Blue Red Yellow Green Blue Red Yellow Green Blue Red Yellow Green Blue\nPink Green Gray Blue Pink Green Gray Blue Pink Green Gray Blue Pink Green Gray\nOrange Brown Green Purple Orange Brown Green Purple Orange Brown Green Purple Orange Brown Green\nBrown Gray Brown Brown Brown Gray Brown Brown Brown Gray Brown Brown Brown Gray Brown\n\nOutput:\nBrown Orange Pink Yellow Brown Orange Pink Yellow Brown Orange Pink Yellow Brown Brown Brown\nGray Brown Green Green Gray Brown Green Green Gray Brown Green Green Brown Brown Brown\nBrown Green Gray Blue Brown Green Gray Blue Brown Green Gray Blue Brown Brown Brown\nBrown Purple Blue Red Brown Purple Blue Red Brown Purple Blue Red Brown Brown Brown\nBrown Orange Pink Yellow Brown Orange Pink Yellow Brown Orange Pink Yellow Brown Brown Brown\nGray Brown Green Green Gray Brown Green Green Gray Brown Green Green Brown Brown Brown\nBrown Green Gray Blue Brown Green Gray Blue Brown Green Gray Blue Brown Brown Brown\nBrown Purple Blue Red Brown Purple Blue Red Brown Purple Blue Red Brown Brown Brown\nBrown Orange Pink Yellow Brown Orange Pink Yellow Brown Orange Pink Yellow Brown Brown Brown\nGray Brown Green Green Gray Brown Green Green Gray Brown Green Green Brown Brown Brown\nBrown Green Gray Blue Brown Green Gray Blue Brown Green Gray Blue Brown Brown Brown\nBrown Purple Blue Red Brown Purple Blue Red Brown Purple Blue Red Brown Brown Brown\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Red Blue Red Blue Red Blue Red Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Red Blue Red Blue Red Blue Red Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Red Blue Red Blue Red Blue Red Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Red Blue Red Blue Red Blue Red 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\nOutput:\nBlue Green Blue Green Blue Green Blue Green Blue Green Blue Green Gray Gray Gray Gray\nRed Green Red Green Red Green Red Green Red Green Red Green Gray Gray Gray Gray\nBlue Green Blue Green Blue Green Blue Green Blue Green Blue Green Gray Gray Gray Gray\nRed Green Red Green Red Green Red Green Red Green Red Green Gray Gray Gray Gray\nBlue Green Blue Green Blue Green Blue Green Blue Green Blue Green Gray Gray Gray Gray\nRed Green Red Green Red Green Red Green Red Green Red Green Gray Gray Gray Gray\nBlue Green Blue Green Blue Green Blue Green Blue Green Blue Green Gray Gray Gray Gray\nRed Green Red Green Red Green Red Green Red Green Red Green Gray Gray Gray Gray\nBlue Green Blue Green Blue Green Blue Green Blue Green Blue Green Gray Gray Gray Gray\nRed Green Red Green Red Green Red Green Red Green Red Green Gray Gray Gray Gray\nBlue Green Blue Green Blue Green Blue Green Blue Green Blue Green Gray Gray Gray Gray\nRed Green Red Green Red Green Red Green Red Green Red Green Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nGray Green Pink Gray Green Pink Gray Green Pink Gray Green Pink Red Red\nBrown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown Red Red\nRed Pink Gray Red Pink Gray Red Pink Gray Red Pink Gray Red Red\nGray Green Pink Gray Green Pink Gray Green Pink Gray Green Pink Red Red\nBrown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown Red Red\nRed Pink Gray Red Pink Gray Red Pink Gray Red Pink Gray Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input 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 Gray Red Brown Gray Red Brown Gray Red Brown Gray Red Brown Gray\nGray Green Pink Gray Green Pink Gray Green Pink Gray Green Pink Gray Green\nBrown Pink Gray Brown Pink Gray Brown Pink Gray Brown Pink Gray Brown Pink\nBrown Gray Red Brown Gray Red Brown Gray Red Brown Gray Red Brown Gray\nGray Green Pink Gray Green Pink Gray Green Pink Gray Green Pink Gray Green\nBrown Pink Gray Brown Pink Gray Brown Pink Gray Brown Pink Gray Brown Pink\nBrown Gray Red Brown Gray Red Brown Gray Red Brown Gray Red Brown Gray\nGray Green Pink Gray Green Pink Gray Green Pink Gray Green Pink Gray Green\nBrown Pink Gray Brown Pink Gray Brown Pink Gray Brown Pink Gray Brown Pink\nBrown Gray Red Brown Gray Red Brown Gray Red Brown Gray Red Brown Gray\nGray Green Pink Gray Green Pink Gray Green Pink Gray Green Pink Gray Green\nBrown Pink Gray Brown Pink Gray Brown Pink Gray Brown Pink Gray Brown Pink\nBrown Gray Red Brown Gray Red Brown Gray Red Brown Gray Red Brown Gray\nGray Green Pink Gray Green Pink Gray Green Pink Gray Green Pink Gray Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Black Pink Black Black Pink Black Black Pink Black Black Black\nBlack Black Black Pink Black Black Pink Black Black Pink Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Pink Black Black Pink Black Black Pink Black Black Black\nPink Pink Black Pink Black Black Pink Black Black Pink Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBrown Brown Black Black Brown Black Black Brown Green Brown Black Brown Brown Black\nBlack Brown Brown Black Brown Brown Brown Black Green Brown Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Brown Brown Brown Brown Green Brown Black Brown Brown Brown\nBlack Black Black Brown Brown Brown Brown Brown Green Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nPink Pink Black Black Black Pink Black Pink Pink Black Black Pink Black Pink\nPink Black Pink Black Black Pink Pink Black Pink Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nPink Pink Black Black Black Pink Black Pink Pink Black Black Pink Black Pink\nPink Black Pink Black Black Pink Pink Black Pink Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown\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 Yellow Yellow Black Yellow Black Black\nBlack Black Yellow Black Yellow Yellow Black Orange Orange Black\nBlack Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Black Black\nBlack Black Yellow Black Black Black Black Orange Orange Black\nBlack Black Yellow Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Brown Black Black Brown Black Black Black Black Black Black\nBlack Black Black Orange Gray Gray Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Orange Black Brown Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green 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 Black\nBlack Black Black Black Brown Gray Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Gray Blue 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Brown Brown Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Pink Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Pink Orange Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Orange Green Green Brown Green Green Brown Green Green Green Green Green Green\nGreen Green Green Orange Gray Gray Green Green Brown Brown Brown Brown Green Green Green Green Green Green\nGreen Green Green Green Gray Gray Orange Green Brown Green Green Brown Green Green Green Green Green Green\nGreen Green Green Green Orange Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Brown Gray Brown Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Blue Gray Blue Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Gray Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Pink Pink Pink Pink Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Purple Brown Brown Purple Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Pink Orange Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Pink Orange Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Pink Orange Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Pink Orange 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Orange Orange Green Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Purple Pink Pink Purple Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Gray Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Orange Orange Pink Blue Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Blue Black Black Yellow Gray Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Orange Orange Pink Blue Black Gray Gray Black Black Black Black Black Blue Blue Black Black Black\n\nOutput:\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Pink Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Pink Pink Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green 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\nGreen 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 Orange Orange Green Green Green Green\nGreen Green Green Green Green Green Green Green Gray Gray Green Green Green Purple Pink Pink Purple Green Green Green\nGreen Green Green Green Green Green Green Green Yellow Gray Green Green Green Yellow Yellow Yellow Yellow Green Green Green\nGreen Green Green Orange Orange Pink Blue Green Yellow Yellow Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Orange Green Blue Green Green Yellow Gray Green Green Green Green Green Blue Blue Green Green Green\nGreen Green Green Orange Orange Pink Blue Green Gray Gray Green Green Green Green Green Blue Blue Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Blue Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Brown Black Orange Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Brown Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Purple Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Purple Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Brown Orange 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 Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Purple Purple Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Purple Blue Purple Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Purple Purple Purple Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Red Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Red Red Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Red Red Green Yellow Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Pink Brown Green Orange Blue Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Pink Pink Pink Orange Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Gray Brown Orange Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Gray Gray Purple Red Red Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Gray Gray Purple Red Red Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Gray Brown Orange Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Brown Brown Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Brown Brown Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Pink Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Orange Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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```\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Orange Orange Green Orange Orange Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Orange Orange Orange Orange Orange Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Brown Brown Red Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Red Brown Brown Red Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Blue Pink Pink Blue Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Blue Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Brown Orange Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Blue Blue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Brown Yellow Brown Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Brown Yellow Brown Red Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Red Brown Brown Brown Red Black Black Black Black Black Black Black Gray Pink Pink Gray\nBlack Red Red Red Red Red Black Black Black Black Black Black Black Gray Pink Pink Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlue Orange Orange Orange Blue Black Black Black Black Black Brown Purple Purple Purple Brown Black Black\nBlue Orange Orange Orange Blue Black Black Black Black Black Brown Purple Purple Purple Brown Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Brown Purple Purple Purple Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\n\nOutput:\nGreen Green Green Green Green 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 Black Black\nGreen Green Green Green Green 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 Black Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Gray Gray Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Gray Gray Blue Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Blue Gray Gray Blue Black Black Black\nBlack Yellow Pink Yellow Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Yellow Purple 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 Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Blue Blue Blue Black Black Black Gray Red Red Gray\nBlack Black Black Black Black Blue Gray Blue Black Black Black Gray Red Red Gray\nBlack Black Black Black Black Blue Blue Blue Black Black Black Gray Red Red Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\n\nOutput:\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Brown Brown Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Brown Brown Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green 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 Black\nGreen Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Pink Pink Yellow Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Pink Pink Yellow Black Black Yellow Purple Yellow Black Black\nBlack Black Black Yellow Pink Pink Yellow Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow\nYellow Yellow Yellow\nYellow Yellow Yellow\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green\nGreen Green Green\nGreen Green Green\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack 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 Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray\nGray Gray Gray\nGray Gray Gray\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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\nPurple Purple Purple\nPurple Purple Purple\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Orange 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 Orange 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 Purple Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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\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\nExample 2\nInput:\nOrange Orange Green Green Green Green Green Green Green Green Green\nOrange Orange Yellow 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 Pink 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 Purple Green Green Brown Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nOrange Orange Orange Green Green Green Green Green Green Green Green\nOrange Orange Orange Green Green Green Green Green Green Green Green\nOrange Orange Orange Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\nGreen Pink 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 Purple Green Green Brown Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Yellow Yellow Green Green\nGreen Green Green Green Green Yellow Yellow Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Pink Pink Green Green Green\nGreen Green Green Green Pink Pink Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen 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 Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Brown Gray Gray Gray Gray Gray Gray Pink Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Black\nBlack Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Black\nBlack Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Black Black Black Black\nBlack Blue Black Black Black\nBlack Black Gray Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black\nBlack Black Red Black Black Black Black\nBlack Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\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 Orange Orange Orange Orange Orange Black Black Yellow Yellow Yellow Black\nBlack Orange Orange Orange Orange Orange Black Black Yellow Yellow Yellow Black\nBlack Orange Orange Orange Orange Orange Black Black Yellow Yellow Yellow Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Black Black\nBlack Yellow Black\nBlack 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 Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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```\nOrange Black Black Black Black Black Black\nBlack Green Black Black Black Black Black\nBlack Black Red Black Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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 Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Red 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\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Red Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Yellow\n\n\nExample 2\nInput:\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\nBlue Red 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\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\nRed Red Green Green Green Green Green Green Green Green Green\nGreen Red Green Green Green Green Green Green Green Green Green\nGreen Green Red Green Green Green Green Green Green Green Green\nGreen Green Green Red Green Green Green Green Green Green Green\nGreen Green Green Green Red Green Green Green Green Green Green\nGreen Green Green Green Green Red Green Green Green Green Green\nGreen Green Green Green Green Green Red Green Green Green Green\n\n\nExample 3\nInput:\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Blue Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green\nRed Green Green Green Green Green Green Green Green\nGreen Red Green Green Green Green Green Green Green\nGreen Green Red Green Green Green Green Green Green\nGreen Green Green Red Green Green Green Green Green\nGreen Green Green Green Red Green Green Green Green\nGreen Green Green Green Green Red 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 Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Blue Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nRed Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Red 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\nGray Gray Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Blue Black Purple Blue Black\nBrown Blue Blue Brown Blue Blue\nBlack Brown Purple Black Brown Purple\nPurple Blue Black Purple Blue Black\nBrown Blue Blue Brown Blue Blue\nBlack Brown Purple Black Brown Purple\n\nOutput:\nRed Red Black Red Red Black\nRed Red Red Red Red Red\nBlack Red Red Black Red Red\nRed Red Black Red Red Black\nRed Red Red Red Red Red\nBlack Red Red Black Red Red\n\n\nExample 2\nInput:\nRed Brown Red Red Brown Red\nBrown Brown Brown Brown Brown Brown\nBrown Black Brown Brown Black Brown\nRed Brown Red Red Brown Red\nBrown Brown Brown Brown Brown Brown\nBrown Black Brown Brown Black Brown\n\nOutput:\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Black Red Red Black Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Black Red Red Black Red\n\n\nExample 3\nInput:\nBlack Purple Black Black Purple Black\nPurple Purple Purple Purple Purple Purple\nBlack Purple Black Black Purple Black\nBlack Purple Black Black Purple Black\nPurple Purple Purple Purple Purple Purple\nBlack Purple Black Black Purple Black\n\nOutput:\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\nRed Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Brown Black Black Brown Black\nBrown Blue Brown Brown Blue Brown\nBlack Brown Black Black Brown 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```\nBlack Red Black Black Red Black\nRed Red Red Red Red Red\nBlack Red Black Black Red Black\nBlack Red Black Black Red Black\nRed Red Red Red Red Red\nBlack Red 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 Green Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Blue Blue Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Blue Blue Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Green Green Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Blue Blue Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Blue Blue Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Blue Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Green Green Green Green Green Green Black\nBlack Black Black Blue Blue Black Black Green Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Green Black Purple Black Black Purple Black\nYellow Yellow Yellow Yellow Yellow Yellow Green Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Green Purple Purple Purple Purple Purple Purple\nBlack Yellow Yellow Yellow Yellow Black Green Purple Purple Purple Purple Purple Purple\nBlack Yellow Yellow Yellow Yellow Black Green Black Purple Black Black Purple Black\n\nOutput:\nYellow Blue Yellow Yellow Blue Yellow Green Black Purple Black Black Purple Black\nBlue Blue Blue Blue Blue Blue Green Purple Purple Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Green Purple Purple Purple Purple Purple Purple\nBlack Blue Blue Blue Blue Black Green Purple Purple Purple Purple Purple Purple\nBlack Blue Yellow Yellow Blue Black Green Black Purple Black Black Purple Black\n\n\nExample 2\nInput:\nGray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray\nGray Gray Black Black Gray Gray Green Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray\n\nOutput:\nBlue Blue Blue Blue Blue Blue Green Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Green Gray Gray Gray Gray Gray Gray\nBlue Blue Black Black Blue Blue Green Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Green Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Green Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Purple Purple Purple Purple Purple Green Gray Gray Black Black Black Black\nPurple Purple Purple Purple Purple Purple Green Gray Gray Gray Gray Black Black\nBlack Purple Purple Purple Purple Black Green Gray Gray Gray Gray Gray Gray\nBlack Purple Purple Purple Black Black Green Gray Black Black Gray Gray Gray\nPurple Purple Purple Purple Black Black Green Gray Gray Gray Gray Black Gray\n\nOutput:\nBlack Blue Purple Purple Purple Purple Green Gray Gray Black Black Black Black\nBlue Blue Blue Blue Purple Purple Green Gray Gray Gray Gray Black Black\nBlack Blue Blue Blue Blue Black Green Gray Gray Gray Gray Gray Gray\nBlack Purple Purple Blue Black Black Green Gray Black Black Gray Gray Gray\nBlue Blue Blue Blue Black Black Green Gray Gray Gray Gray Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Black Black Pink Black Green Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Green Blue Blue Blue Blue Blue Blue\nPink Pink Black Black Pink Pink Green Blue Black Black Blue Blue Blue\nPink Pink Pink Pink Pink Pink Green Blue Blue Blue Blue Blue Blue\nBlack Pink Black Black Pink Black Green Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Blue Black Black Blue Black Green Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Green Blue Blue Blue Blue Blue Blue\nBlue Pink Black Black Blue Blue Green Blue Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Green Blue Blue Blue Blue Blue Blue\nBlack Blue Black Black Blue Black Green 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:\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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:\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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 Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red\nRed Red Red Blue Red Red Blue Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Blue Red Blue Red Red Red Red Red Red Red Red Red Red\nRed Red Red Blue Red Red Blue Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Blue Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Black Black Black Black Black Blue Black Black Blue Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Blue Red Red Red Red Red Red Red Red Red\nRed Red Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red\nRed Red Blue Blue Red Blue Red Red Red Red Red Red Red Red Red\nRed Red Red Red Blue Red Red Red Red Red Red Red Red Red Red\nRed Red Red Blue Blue Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Red Red Blue Red Red Red Red Blue Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Blue Blue\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 Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue 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 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 Blue Blue Red\nRed Red Red Red Red Red Red Red Red Red Blue Red Blue Red\nRed Red Red Red Red Red Red Red Red Red Blue Red Blue Red\nRed Red Red Red Red Red Red Red Red Red Red Blue Blue 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Red Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Red Black Black Red Black Black Green Green Green Green Black Red Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Red Black\nBlack Black Black Red Black Black Black Black Black Black Red Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Red Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Red Black Red Red Black Red Black Black Red\nBlack Black Black Black Black Black Red Black Green Green Green Green Red Red Black Black\nBlack Black Red Black Black Red Black Black Green Green Green Green Black Red Black Black\nBlack Black Red Black Black Red Red Black Green Green Green Green Black Red Red Black\nBlack Black Black Black Black Black Red Red Green Green Green Green Red Black Black Black\nBlack Black Black Black Red Black Black Red Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Red Black Black Black Black Red Black Red Black\nBlack Black Black Red Black Black Black Black Black Red Red Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Green Green Green Green Black Black Black Black Black Red Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Red 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 Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Green Black Black Black Black Black Red Black Black Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Red Black Black\nBlack Green Green Green Green Black Black Black Black Black Black Black Red Black Black\nBlack Green Green Green Green Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Red Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Black Black Red Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Red Black Black Red Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Red Black Black Red Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Red Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Red\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Green Green Green Green Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Red Red Black Black Black Red\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Green Green Green Green Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Green Green Green Green Red Black Black\nBlack Red 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:\nOrange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Brown Brown\nGray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green Brown Brown\nGray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Brown Brown\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Brown Brown\nOrange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Brown Brown\nGray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green Brown Brown\nGray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Brown Brown\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nOrange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink\nGray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green\nGray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nOrange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink\nGray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green\nGray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nOrange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink\nGray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green\nGray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nOrange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink\nGray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green\nGray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nOrange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink\nGray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green\nGray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nOrange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink\nGray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green\nGray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple\nOrange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow Orange Yellow\nOrange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink Orange Pink\nGray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green Gray Green\nGray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple Gray Purple\n\n\nExample 2\nInput:\nOrange Yellow Green Blue Orange Yellow Green Blue Green Green Green Green Green Green Green Green Green Green Green Green\nRed Pink Green Gray Red Pink Green Gray Green Green Green Green Green Green Green Green Green Green Green Green\nBlue Orange Brown Green Blue Orange Brown Green Green Green Green Green Green Green Green Green Green Green Green Green\nOrange Yellow Green Blue Orange Yellow Green Blue Green Green Green Green Green Green Green Green Green Green Green Green\nRed Pink Green Gray Red Pink Green Gray Green Green Green Green Green Green Green Green Green Green Green Green\nBlue Orange Brown Green Blue Orange Brown Green Green Green Green Green Green Green Green Green Green Green Green Green\nOrange Yellow Green Blue Orange Yellow Green Blue Green Green Green Green Green Green Green Green Green Green Green Green\nRed Pink Green Gray Red Pink Green Gray Green Green Green Green Green Green Green Green Green Green Green Green\nBlue Orange Brown Green Blue Orange Brown Green Green Green Green Green Green Green Green Green Green Green Green Green\nOrange Yellow Green Blue Orange Yellow Green Blue Green Green Green Green Green Green Green Green Green Green Green Green\nRed Pink Green Gray Red Pink Green Gray Green Green Green Green Green Green Green Green Green Green Green Green\nBlue Orange Brown Green Blue Orange Brown 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\nGreen 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\nGreen 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\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nOrange Yellow Black Blue Orange Yellow Black Blue Orange Yellow Black Blue Orange Yellow Black Blue Orange Yellow Black Blue\nRed Pink Black Gray Red Pink Black Gray Red Pink Black Gray Red Pink Black Gray Red Pink Black Gray\nBlue Orange Brown Black Blue Orange Brown Black Blue Orange Brown Black Blue Orange Brown Black Blue Orange Brown Black\nOrange Yellow Black Blue Orange Yellow Black Blue Orange Yellow Black Blue Orange Yellow Black Blue Orange Yellow Black Blue\nRed Pink Black Gray Red Pink Black Gray Red Pink Black Gray Red Pink Black Gray Red Pink Black Gray\nBlue Orange Brown Black Blue Orange Brown Black Blue Orange Brown Black Blue Orange Brown Black Blue Orange Brown Black\nOrange Yellow Black Blue Orange Yellow Black Blue Orange Yellow Black Blue Orange Yellow Black Blue Orange Yellow Black Blue\nRed Pink Black Gray Red Pink Black Gray Red Pink Black Gray Red Pink Black Gray Red Pink Black Gray\nBlue Orange Brown Black Blue Orange Brown Black Blue Orange Brown Black Blue Orange Brown Black Blue Orange Brown Black\nOrange Yellow Black Blue Orange Yellow Black Blue Orange Yellow Black Blue Orange Yellow Black Blue Orange Yellow Black Blue\nRed Pink Black Gray Red Pink Black Gray Red Pink Black Gray Red Pink Black Gray Red Pink Black Gray\nBlue Orange Brown Black Blue Orange Brown Black Blue Orange Brown Black Blue Orange Brown Black Blue Orange Brown Black\nOrange Yellow Black Blue Orange Yellow Black Blue Orange Yellow Black Blue Orange Yellow Black Blue Orange Yellow Black Blue\nRed Pink Black Gray Red Pink Black Gray Red Pink Black Gray Red Pink Black Gray Red Pink Black Gray\nBlue Orange Brown Black Blue Orange Brown Black Blue Orange Brown Black Blue Orange Brown Black Blue Orange Brown Black\nOrange Yellow Black Blue Orange Yellow Black Blue Orange Yellow Black Blue Orange Yellow Black Blue Orange Yellow Black Blue\n\n\nExample 3\nInput:\nYellow Brown Green Yellow Brown Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Blue Red Green Blue Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Orange Purple Gray Orange Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nYellow Brown Green Yellow Brown Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Blue Red Green Blue Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Orange Purple Gray Orange Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nYellow Brown Green Yellow Brown Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Blue Red Green Blue Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Orange Purple Gray Orange Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nYellow Brown Green Yellow Brown Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Blue Red Green Blue Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Orange Purple Gray Orange Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nYellow Brown Green Yellow Brown Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Blue Red Green Blue Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Orange Purple Gray Orange Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nYellow Brown Green Yellow Brown Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGreen Blue Red Green Blue Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nYellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green\nGreen Blue Red Green Blue Red Green Blue Red Green Blue Red Green Blue Red Green Blue Red Green Blue Red\nBlack Orange Purple Black Orange Purple Black Orange Purple Black Orange Purple Black Orange Purple Black Orange Purple Black Orange Purple\nYellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green\nGreen Blue Red Green Blue Red Green Blue Red Green Blue Red Green Blue Red Green Blue Red Green Blue Red\nBlack Orange Purple Black Orange Purple Black Orange Purple Black Orange Purple Black Orange Purple Black Orange Purple Black Orange Purple\nYellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green\nGreen Blue Red Green Blue Red Green Blue Red Green Blue Red Green Blue Red Green Blue Red Green Blue Red\nBlack Orange Purple Black Orange Purple Black Orange Purple Black Orange Purple Black Orange Purple Black Orange Purple Black Orange Purple\nYellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green\nGreen Blue Red Green Blue Red Green Blue Red Green Blue Red Green Blue Red Green Blue Red Green Blue Red\nBlack Orange Purple Black Orange Purple Black Orange Purple Black Orange Purple Black Orange Purple Black Orange Purple Black Orange Purple\nYellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green\nGreen Blue Red Green Blue Red Green Blue Red Green Blue Red Green Blue Red Green Blue Red Green Blue Red\nBlack Orange Purple Black Orange Purple Black Orange Purple Black Orange Purple Black Orange Purple Black Orange Purple Black Orange Purple\nYellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green Yellow Brown Green\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Green Pink Pink Gray Green Pink Red Red Red Red Red Red Red Red Red Red Red\nBrown Gray Brown Red Brown Gray Brown Red Red Red Red Red Red Red Red Red Red Red Red\nPink Gray Green Pink Pink Gray Green Pink Red Red Red Red Red Red Red Red Red Red Red\nBrown Gray Brown Red Brown Gray Brown Red Red Red Red Red Red Red Red Red Red Red Red\nPink Gray Green Pink Pink Gray Green Pink Red Red Red Red Red Red Red Red Red Red Red\nBrown Gray Brown Red Brown Gray Brown Red Red Red Red Red Red Red Red Red Red Red Red\nPink Gray Green Pink Pink Gray Green Pink Red Red Red Red Red Red Red Red Red Red Red\nBrown Gray Brown Red Brown Gray Brown 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\nRed 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\nRed 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\nRed 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\nRed 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\nRed 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nPink Gray Green Pink Pink Gray Green Pink Pink Gray Green Pink Pink Gray Green Pink Pink Gray Green\nBrown Gray Brown Black Brown Gray Brown Black Brown Gray Brown Black Brown Gray Brown Black Brown Gray Brown\nPink Gray Green Pink Pink Gray Green Pink Pink Gray Green Pink Pink Gray Green Pink Pink Gray Green\nBrown Gray Brown Black Brown Gray Brown Black Brown Gray Brown Black Brown Gray Brown Black Brown Gray Brown\nPink Gray Green Pink Pink Gray Green Pink Pink Gray Green Pink Pink Gray Green Pink Pink Gray Green\nBrown Gray Brown Black Brown Gray Brown Black Brown Gray Brown Black Brown Gray Brown Black Brown Gray Brown\nPink Gray Green Pink Pink Gray Green Pink Pink Gray Green Pink Pink Gray Green Pink Pink Gray Green\nBrown Gray Brown Black Brown Gray Brown Black Brown Gray Brown Black Brown Gray Brown Black Brown Gray Brown\nPink Gray Green Pink Pink Gray Green Pink Pink Gray Green Pink Pink Gray Green Pink Pink Gray Green\nBrown Gray Brown Black Brown Gray Brown Black Brown Gray Brown Black Brown Gray Brown Black Brown Gray Brown\nPink Gray Green Pink Pink Gray Green Pink Pink Gray Green Pink Pink Gray Green Pink Pink Gray Green\nBrown Gray Brown Black Brown Gray Brown Black Brown Gray Brown Black Brown Gray Brown Black Brown Gray Brown\nPink Gray Green Pink Pink Gray Green Pink Pink Gray Green Pink Pink Gray Green Pink Pink Gray Green\nBrown Gray Brown Black Brown Gray Brown Black Brown Gray Brown Black Brown Gray Brown Black Brown Gray Brown\nPink Gray Green Pink Pink Gray Green Pink Pink Gray Green Pink Pink Gray Green Pink Pink Gray Green\nBrown Gray Brown Black Brown Gray Brown Black Brown Gray Brown Black Brown Gray Brown Black Brown Gray Brown\nPink Gray Green Pink Pink Gray Green Pink Pink Gray Green Pink Pink Gray Green Pink Pink Gray Green\nBrown Gray Brown Black Brown Gray Brown Black Brown Gray Brown Black Brown Gray Brown Black Brown Gray Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Orange Orange Gray Gray Black Black Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Orange Orange Gray Gray Orange Orange Gray Gray Orange Black Black Gray Orange Orange Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Black Orange Orange\nGray Orange Orange Gray Gray Orange Orange Gray Black Orange Orange Gray Gray Orange Orange Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Orange Orange Gray Gray Orange Black Black Gray Orange Orange Gray Gray Orange Orange Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray Orange Orange Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBrown Gray Brown Brown Black Black Brown Gray Brown Brown Gray Brown Brown Gray Brown\nBrown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown\nBrown Green Brown Brown Green Brown Brown Green Brown Brown Green Brown Brown Green Brown\nBrown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown\nBrown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown\nBrown Green Brown Brown Green Brown Brown Green Brown Brown Green Brown Brown Green Brown\nBlack Black Brown Brown Gray Brown Brown Gray Brown Black Gray Brown Brown Gray Brown\nBrown Gray Brown Brown Gray Brown Brown Black Black Black Gray Brown Brown Gray Brown\nBrown Green Brown Brown Black Brown Brown Black Black Brown Green Black Brown Green Brown\nBlack Black Brown Brown Black Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown\nBrown Black Black Brown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown\nBrown Green Brown Brown Green Brown Brown Green Brown Brown Green Brown Brown Green Brown\n\nOutput:\nBrown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown\nBrown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown\nBrown Green Brown Brown Green Brown Brown Green Brown Brown Green Brown Brown Green Brown\nBrown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown\nBrown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown\nBrown Green Brown Brown Green Brown Brown Green Brown Brown Green Brown Brown Green Brown\nBrown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown\nBrown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown\nBrown Green Brown Brown Green Brown Brown Green Brown Brown Green Brown Brown Green Brown\nBrown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown\nBrown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown Brown Gray Brown\nBrown Green Brown Brown Green Brown Brown Green Brown Brown Green Brown Brown Green Brown\n\n\nExample 3\nInput:\nBlack Black Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink Black Black Pink\nBlack Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink\nBlack Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red\nPink Brown Pink Black Black Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink\nPink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Blue Black Black Blue Yellow Red Blue Yellow Black Black Yellow Red Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nRed Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red Blue Yellow Red\nPink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlue Black Brown Blue Blue Blue Black Black Blue Blue Brown Blue Blue Blue\nBrown Black Yellow Blue Brown Yellow Yellow Black Brown Yellow Yellow Blue Brown Yellow\nBlue Yellow Yellow Brown Black Yellow Yellow Black Blue Yellow Yellow Brown Blue Yellow\nBlue Brown Blue Blue Black Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Brown Blue Blue Black Black Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Black Black Brown Yellow Yellow Blue Black Black Black Blue Brown Yellow\nBlue Yellow Yellow Black Blue Black Black Brown Blue Yellow Yellow Brown Blue Yellow\nBlue Brown Blue Blue Blue Brown Blue Blue Black Black Blue Blue Blue Brown\nBlue Blue Brown Blue Blue Blue Brown Blue Black Black Brown Black Black Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Black Black Yellow\nBlue Yellow Yellow Brown Blue Yellow Yellow Brown Black Black Yellow Brown Blue Yellow\nBlue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\nBlue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow\nBlue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\nBlue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow\nBlue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\nBlue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow Yellow Brown Blue Yellow\nBlue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown\nBlue Blue Brown Blue Blue Blue Brown Blue Blue Blue Brown Blue Blue Blue\nBrown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow Yellow Blue Brown Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Blue Blue Black Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Green Black Black\nBlack Orange Orange Orange Black Red Red Red Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Green Green Green Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\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:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Pink Pink Black Black Black Black Black Black Black\nRed Red Red Black Black Pink Pink Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Orange Orange Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Red Red Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Red Red Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Yellow Yellow Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Red Brown Brown Brown Brown Red Black Black Black Black Black\nBlack Black Black Black Gray Orange Orange Orange Orange Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Yellow Yellow Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Purple Brown Brown Purple Gray Black Black Black Black Black\nBlack Black Black Black Orange Orange Purple Purple Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Pink Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Gray Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Orange Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Pink Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Pink Orange Orange Gray Black Black Black Black Black\nBlack Black Black Black Black Pink Orange Yellow Purple Black Black Black Black Black\nBlack Black Black Black Black Orange Pink Blue Purple Black Black Black Black Black\nBlack Black Black Black Black Green Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Orange Pink Blue Purple Black Black Black Black Black\nBlack Black Black Black Black Pink Orange Yellow Purple Black Black Black Black Black\nBlack Black Black Black Black Pink Orange Orange Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns 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 Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Black Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Black Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Black\n\n\nExample 3\nInput:\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Black Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Black Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGreen 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 Pink Pink Pink Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Pink Pink Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Pink Pink Pink Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Green\nGreen Green Green Green Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Green\nGreen Green Green Green Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Green\nGreen Green Green Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Green Green Green Green\nGreen Green Green Green Pink Green Green Green Green Green Pink Pink Pink Pink Green Green Green Green Green Green Green\nGreen Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green\nGreen Green Green Green Pink Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green\nGreen Green Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green\nGreen Green Green Green Green Pink Pink Green Green Green Pink Pink Pink Pink Green Green Green Green Green Green Green\nGreen Green Green Green Green Pink Pink Green Green Green Pink Pink Pink Pink Green Green Green Green Green Green Green\nGreen Green Green Pink Pink Pink Pink Pink Pink Green Pink Pink Pink Pink Green Green Green Green Green Green Green\nGreen Green Green Pink Pink Pink Pink Pink Pink Green Pink Pink Pink Pink Green Green Green Green Green Green Green\nGreen Green Green Green Green Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Pink Pink Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nRed Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red\nRed Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red\nRed Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red\nRed Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red\nRed Red Red Red Red Green Green Green Green Yellow Yellow Red Red Yellow Yellow Yellow Yellow Red Red Red Red\nRed Red Red Red Red Green Green Green Green Green Red Yellow Red Yellow Yellow Yellow Yellow Red Red Red Red\nRed Red Red Red Red Green Green Green Green Red Red Red Red Yellow Yellow Yellow Yellow Red Red Red Red\nRed Red Red Red Red Green Green Green Green Red Red Red Red Yellow Yellow Yellow Yellow 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\nRed Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red\nRed Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red\nRed Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red\nRed Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red\nRed Red Red Red Green Green Green Green Red Red Red Red Yellow Yellow Yellow Yellow Red Red Red Red Red\nRed Red Red Red Green Green Green Green Red Red Red Red Yellow Yellow Yellow Yellow Red Red Red Red Red\nRed Red Red Red Green Green Green Green Red Red Red Red Yellow Yellow Yellow Yellow Red Red Red Red Red\nRed Red Red Red Green Green Green Green Red Red Red Red Yellow Yellow Yellow Yellow Red Red Red Red Red\nRed Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Green Green Red Red Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Green Green Red Red Yellow Yellow Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red 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\nRed 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\nRed 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\nRed 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\nRed 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\nRed 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\nRed 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\nRed 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\nRed 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\nRed 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\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Brown Green Green Brown Brown Green Green Brown\nGreen Green Green Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Brown Green Green Brown Brown Green Green Brown\nGreen Green Green Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Brown Brown Brown\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Green Green Green Brown Brown Brown Green Green Green Blue Blue Brown Brown Brown\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Green Green Green Brown Brown Brown Green Green Green Blue Blue Brown Brown Brown\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Green Green Green Brown Brown Brown Green Green Green Blue Blue Brown Brown Brown\nGreen Green Green Blue Blue Blue Green Green Green Brown Brown Brown Blue Blue Blue Brown Green Green Brown Brown Green Green Brown\nGreen Green Green Blue Blue Blue Green Green Green Brown Brown Brown Blue Blue Blue Brown Green Green Brown Brown Green Green Brown\nGreen Green Green Blue Blue Blue Green Green Green Brown Brown Brown Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Blue Blue Blue Green Green Green Brown Brown Brown Blue Blue Blue Brown Green Green Brown Brown Green Green Brown\nGreen Green Green Blue Blue Blue Green Green Green Brown Brown Brown Blue Blue Blue Brown Green Green Brown Brown Green Green Brown\nGreen Green Green Blue Blue Blue Green Green Green Brown Brown Brown Blue Blue Blue Brown Brown Brown Blue Blue Brown Brown Brown\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Green Green Green Brown Brown Brown Green Green Green Blue Blue Brown Brown Brown\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Green Green Green Brown Brown Brown Green Green Green Blue Blue Brown Brown Brown\nBrown Brown Brown Blue Blue Blue Brown Brown Brown Green Green Green Brown Brown Brown Green Green Green Blue Blue Brown Brown Brown\nGreen Green Green Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Brown Green Green Brown Brown Green Green Brown\nGreen Green Green Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Brown Green Green Brown Brown Green Green Brown\nGreen Green Green Brown Brown Brown Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Brown Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Blue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue Red Red Red Red Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red Red Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red Red Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red Red Blue Blue Blue Blue Red Red Blue Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red Red Blue Blue Blue Blue Red Red Blue Blue Blue Blue Red Red Red Red Red Red\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue Red Red Red Red Red Red Red Blue Blue Blue Blue Red Red Red Red Red Red\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue Red Red Red Red Red Red Red Blue Blue Blue Blue Red Red Red Red Red Red\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue Red Red Red Blue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue Red Red\nBlue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue Red Red Red Blue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red Blue Red Red Blue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Blue Red Blue Red Blue Blue Blue Blue Red Red Red Red Blue Blue Blue Blue Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red Blue Red Red Red Red Red Red Blue Blue Blue Blue Red Red Red Red Red Red\nRed Red Red Red Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue 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 Blue Blue Blue Blue 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 Blue Blue Blue Blue 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 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 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 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 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 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 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 Red Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 Red Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Green Green Black Black Black Black Black\nBlack Black Black Black Black Green Black Green Black Black Black Black\nBlack Black Black Red Red Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Brown Black Brown Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Red Brown Brown Black Black Black Black\nBlack Black Black Black Brown Black Brown Black Black Black\nBlack Black Red Red Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Green Black Green Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\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 Red Green Green Black Black Black Black Black\nBlack Black Black Black Green Black Green Black Black Black Black\nBlack Black Red Red Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\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 Green Green Black Black Black Black\nBlack Black Black Green Black Green Black Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns 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 Red Green Green Black Black Black Black\nBlack Black Black Green Black Green Black Black Black\nBlack Red Red Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Black Red Black Red Black Red Black Red Black\nBlack Red Black Red Black Red Black Red Black Red Black Red\nRed Black Red Black Red Black Red Black Red Black Red Black\nBlack Red Black Red Black Red Black Red Black Red Black Red\nRed Black Red Black Red Black Red Black Red Black Red Black\nBlack Red Black Red Black Red Black Red Black Red Black Red\nRed Black Red Black Red Yellow Red Black Red Black Red Black\nBlack Red Black Red Black Red Black Red Black Red Black Red\n\nOutput:\nBlue Black Blue Black Blue Black Blue Black Blue Black Blue Black\nBlack Blue Black Blue Black Blue Black Blue Black Blue Black Blue\nBlue Black Blue Black Blue Black Blue Black Blue Black Blue Black\nBlack Blue Black Blue Black Blue Black Blue Black Blue Black Blue\nBlue Black Blue Black Blue Black Blue Black Blue Black Blue Black\nBlack Blue Black Blue Black Blue Black Blue Black Blue Black Blue\nBlue Black Blue Black Blue Yellow Blue Black Blue Black Blue Black\nBlack Blue Black Blue Black Blue Black Blue Black Blue Black Blue\n\n\nExample 2\nInput:\nRed Black Red Black Red Black Red Black Red Black\nBlack Red Black Red Black Red Black Red Black Red\nRed Black Red Black Red Black Red Black Red Black\nBlack Red Black Red Black Red Black Red Black Red\nRed Black Red Black Red Black Red Black Red Black\nBlack Red Black Red Black Red Black Red Black Red\nRed Black Red Yellow Red Black Red Black Red Black\n\nOutput:\nBlue Black Blue Black Blue Black Blue Black Blue Black\nBlack Blue Black Blue Black Blue Black Blue Black Blue\nBlue Black Blue Black Blue Black Blue Black Blue Black\nBlack Blue Black Blue Black Blue Black Blue Black Blue\nBlue Black Blue Black Blue Black Blue Black Blue Black\nBlack Blue Black Blue Black Blue Black Blue Black Blue\nBlue Black Blue Yellow Blue Black Blue Black Blue Black\n\n\nExample 3\nInput:\nRed Black Red Black Red Black Red Black Red Black Red\nBlack Red Black Red Black Red Black Red Black Red Black\nRed Black Red Black Red Black Red Black Red Black Red\nBlack Red Black Red Black Red Black Red Black Red Black\nRed Black Red Black Red Black Red Black Yellow Black Red\nBlack Red Black Red Black Red Black Red Black Red Black\nRed Black Red Black Red Black Red Black Red Black Red\n\nOutput:\nBlue Black Blue Black Blue Black Blue Black Blue Black Blue\nBlack Blue Black Blue Black Blue Black Blue Black Blue Black\nBlue Black Blue Black Blue Black Blue Black Blue Black Blue\nBlack Blue Black Blue Black Blue Black Blue Black Blue Black\nBlue Black Blue Black Blue Black Blue Black Yellow Black Blue\nBlack Blue Black Blue Black Blue Black Blue Black Blue Black\nBlue Black Blue Black Blue Black Blue Black Blue Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Red Black Red Black Red Black Red\nBlack Red Black Red Black Red Black Red Black\nRed Black Red Black Red Black Red Black Red\nBlack Red Black Red Black Red Black Red Black\nRed Black Red Black Red Black Red Black Red\nBlack Red Black Red Yellow Red Black Red Black\nRed Black Red Black Red Black Red Black Red\nBlack Red Black Red Black Red Black Red Black\nRed Black Red Black Red Black Red Black Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black Blue Black Blue Black Blue Black Blue\nBlack Blue Black Blue Black Blue Black Blue Black\nBlue Black Blue Black Blue Black Blue Black Blue\nBlack Blue Black Blue Black Blue Black Blue Black\nBlue Black Blue Black Blue Black Blue Black Blue\nBlack Blue Black Blue Yellow Blue Black Blue Black\nBlue Black Blue Black Blue Black Blue Black Blue\nBlack Blue Black Blue Black Blue Black Blue Black\nBlue Black Blue Black Blue 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:\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Red Blue Blue\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Blue Blue Black\nBlack Black Black Black Blue Blue Black Blue Blue Black\n\nOutput:\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 Gray Gray Gray Gray\nBlack Black Black Gray Gray Gray Gray Red Gray Gray\nBlack Black Black Gray Gray Gray Red Red Red Gray\nBlack Black Black Gray Gray Red Gray Red Black Red\nBlack Black Black Gray Red Gray Gray Red Black Black\nBlack Black Black Red Gray Gray Gray Red Gray Gray\nBlack Black Red Gray Gray Gray Gray Gray Gray Gray\nBlack Red Black Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Blue Blue Black\nBlack Blue Blue Black Black Black Black Blue Blue Black\nBlack Blue Blue Black Black Black Black Black Blue Blue\nBlack Blue Blue Black Black Black Black Black Blue Blue\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 Gray Gray Gray Gray Black\nBlack Black Black Black Black Red Gray Gray Gray Black\nBlack Black Black Black Red Gray Red Gray Gray Black\nGray Gray Gray Red Black Gray Gray Red Gray Gray\nGray Gray Red Gray Black Black Gray Gray Red Gray\nGray Red Gray Gray Black Black Gray Gray Gray Red\nRed Gray Gray Gray Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Gray Gray Gray\nGray Gray Gray Gray Black Black Black Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Red Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue 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\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Gray Red Red Black Black Black\nBlack Gray Gray Gray Gray Red Red Red Black Black\nBlack Gray Gray Gray Gray Gray Red Gray Red Black\nBlack Black Black Red Gray Gray Red Gray Gray Red\nBlack Black Red Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray 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 Blue Blue Black Black\nBlue Blue Black Black Black Black Blue Blue Black Black\nBlue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Black Black Black Black Gray Gray Gray Gray Black\nGray Red Gray Black Black Gray Gray Gray Gray Black\nGray Gray Gray Black Black Gray Gray Gray Gray Black\nGray Gray Gray Red Black Red Gray Gray Gray Black\nGray Gray Gray Black Red Gray Gray Gray Gray Black\nBlack Black Black Black Red Red Gray Gray Gray Black\nBlack Black Black Black Red Gray Red Gray Gray Black\nBlack Black Black Gray Red Gray Gray Red Gray Black\nBlack Black Black Gray Gray Gray Gray Black Red Black\nBlack Black Black Gray Gray Gray Gray Black Black Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Red 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 Red Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nPurple Black Pink Pink Orange Black Black\nPurple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBrown 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 Pink Red Black Black\nPurple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nRed Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Green Black Black Black Black\nBlack Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns 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 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 Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Red Red Black Black Black Red Red Red\nBlack Black Red Red Black Black Black Red Black Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange\nBlack Black Orange Orange Black Black Black Orange Orange Orange\nBlack Black Orange Orange Black Black Black Orange Black Orange\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 Yellow Black Yellow Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Black\nGray Black Red Black Black Black Black Gray Gray Black\nGray Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Red 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 Pink Pink Pink Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black\nBlack Black Pink Black Pink Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Orange Orange Black\nOrange Black Orange Black Black Black Black Orange Orange Black\nOrange Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Yellow Black Yellow Black Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black\nBlack Black Black Red Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black 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 Pink Black Pink Black Black Black Black Black Black\nBlack Pink Black Pink Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Orange Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\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 Gray Black Black\nBlack Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black\nBlack 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:\nGray Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black\nBlack Black Black Black Brown Black Black Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Brown\n\nOutput:\nRed Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black\nBlack Black Black Red Black Black Black Black\nBlack Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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:\nYellow Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black\nBlack Black Yellow Black Black Black Black\nBlack Black Black Purple Black Black Black\nBlack Black Black Black Yellow Black Black\nBlack Black Black Black Black Purple Black\nBlack Black Black Black Black Black Yellow\n\nOutput:\nRed Black Black Black Black Black Black\nBlack Red Black Black Black Black Black\nBlack Black Red Black Black Black Black\nBlack Black Black Red Black Black Black\nBlack Black Black Black Red Black Black\nBlack Black Black Black Black Red Black\nBlack Black Black Black Black Black Red\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black\nBlack Black Orange Black Black Black Black\nBlack Black Black Blue Black Black Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Black Blue Black\nBlack Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nRed Black Black Black Black Black Black\nBlack Red Black Black Black Black Black\nBlack Black Red Black Black Black Black\nBlack Black Black Red Black Black Black\nBlack Black Black Black Red Black Black\nBlack Black Black Black Black Red Black\nBlack Black Black Black Black Black Red\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\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 Yellow Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange 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\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange 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\nBlue Blue Blue 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 Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue 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\nBlue 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Green Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Gray Gray Black\nBlack Orange Orange Orange Orange Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Red Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Blue Black Black Black Black Black Black Black Black Black Black Black\nGray Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Green Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Blue Purple 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 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\nPink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Green Blue Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Blue Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns 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\nBlue Blue 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\nGreen Blue Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nYellow Yellow Yellow Yellow 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\nYellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Black Black Black Black Black Black Black\nBlack Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nGray Gray Gray 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\nGray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Yellow Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Black Yellow Black Black Black Black Black Yellow Black Yellow Black Black Black Yellow\nYellow Black Black Black Yellow Black Yellow Black Black Black Black Black Yellow Black Yellow Black Black Black Yellow\nYellow Black Black Black Yellow Black Yellow Black Black Black Black Black Yellow Black Yellow Black Black Black Yellow\nYellow Black Black Black Yellow Black Yellow Black Black Black Black Black Yellow Black Yellow Black Black Black Yellow\nYellow Black Black Black Yellow Black Yellow Black Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Black Black Black Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Black Black Black Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Gray Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Gray Black Black Black Black Black Gray Black Gray Black Black Black Gray\nGray Gray Gray Gray Gray Black Gray Black Black Black Black Black Gray Black Gray Black Black Black Gray\nGray Black Black Black Gray Black Gray Black Black Black Black Black Gray Black Gray Black Black Black Gray\nGray Black Black Black Gray Black Gray Black Black Black Black Black Gray Black Gray Black Black Black Gray\nGray Black Black Black Gray Black Gray Black Black Black Black Black Gray Black Gray Black Black Black Gray\nGray Black Black Black Gray Black Gray Black Black Black Black Black Gray Black Gray Gray Gray Gray Gray\nGray Black Black Black Gray Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nGray Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Gray Gray Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Gray Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Gray Black Black Black Black Black Gray Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Gray Black Black Black Black Black Gray Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Gray Black Black Black Black Black Gray Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Gray Black Black Black Black Black Gray Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Gray Gray Gray Gray Gray Gray Gray Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Black Black Black Black Black Black Yellow Black Black Black Black\nYellow Black Black Black Black Black Black Yellow Black Black Black Black\nYellow Black Black Black Black Black Black Yellow Black Black Black Black\nYellow Black Black Black Black Black Black Yellow Black Black Black Black\nYellow Black Black Black Black Black Black Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nGray Black Black Black Black Black Black Gray Black Black Black Black\nGray Black Black Black Black Black Black Gray Black Black Black Black\nGray Black Black Black Black Black Black Gray Black Black Black Black\nGray Black Black Black Black Black Black Gray Black Black Black Black\nGray Black Black Black Black Black Black Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Black Black Black Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Gray Black Black Black Black Black Black Black Gray\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Gray Black Black Black Black Black Black Black Gray\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Gray Black Black Black Black Black Black Black Gray\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Gray Gray Gray Gray Gray Gray Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Gray Black Black Black Black Gray Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Gray Black Black Black Black Gray Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Gray Black Black Black Black Gray Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Gray Gray Gray Gray Gray Gray Black Gray Black Black Black Black Black Gray Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Gray Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Gray Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Gray Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Yellow Black Yellow Yellow Yellow\nBlack Black Black Black Yellow Black Black Black Black Yellow Black Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black 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```\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Gray Black Yellow Yellow Yellow\nBlack Black Black Black Gray Black Black Black Black Gray Black Yellow Yellow Yellow\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Black Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Orange Orange Orange Black\nBlack Orange Purple Black Black Black Black Black Orange Orange Orange Black\nBlack Orange Purple Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple 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 Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black Black\nBlack Green Green 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 Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Red Red Pink Pink Black Black Black\nBlack Blue Blue Red Red Pink Pink Black Black Black\nBlack Black Black Red Red Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Green 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 Green Green Green Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Red Red Black Black\nBlack Black Black Blue Blue Black Black Red Red 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 Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black 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 Brown Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black\nBlack Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\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\nRed Blue Blue Red Black Black Black Black Black Black\nBlue Red Red Blue Black Black Black Black Black Black\nBlue Red Red Blue Black Black Black Black Black Black\nRed Blue Blue Red Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack 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 Blue Blue Red Black\nBlack Black Black Black Black Blue Red Red Blue Black\nBlack Black Black Black Black Blue Red Red Blue Black\nBlack Black Black Black Black Red Blue Blue Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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\nRed Blue Blue Red Black Black Black Black Black Black\nBlue Red Red Blue Black Black Black Black Black Black\nBlue Red Red Blue Black Black Black Black Black Black\nRed Blue Blue Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Blue Blue Red Black Black Black\nBlack Black Black Blue Red Red Blue Black Black Black\nBlack Black Black Blue Red Red Blue Black Black Black\nBlack Black Black Red Blue Blue Red Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Purple Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Purple Gray Gray Purple Gray Gray Gray Gray Gray Gray Gray\nGray Gray Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray\nGray Gray Purple Gray Gray Purple Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray 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 Orange Black Black\nBlack 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 Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Orange Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange 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:\nBlack Black Black 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\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray 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:\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Black Black Black Blue 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 Blue Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black 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\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\nYellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Blue\nBlue Black Black Black Black Black Black Black Black 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 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 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 Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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 Blue Black Black Blue Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Blue Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue 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 Yellow Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red 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 Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red 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 Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Blue Blue Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Blue Blue Blue Blue Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Blue Blue Blue Blue Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Blue Blue Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Black Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Black Red Red Black Black Black\nBlack Black Black Black Red Blue Red Blue Red Black Black Black\nBlack Black Black Red Blue Blue Blue Blue Blue Red Black Black\nBlack Black Black Red Blue Blue Blue Blue Blue Red Black Black\nBlack Black Black Red Red Blue Blue Blue Red Red Black Black\nBlack Black Black Black Black Red Blue Red Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\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 Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Blue Red Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Blue Red Black Black Black Black Black Black\nBlack Black Black Black Red Blue Red Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\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 Red Red 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 Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns 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 Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Blue Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Gray\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nPink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue\nPink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Blue\nPink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue\nPink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Purple Blue\nPink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue\nPink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue\nPink Purple Purple Purple Purple Purple Purple Purple Purple Purple Yellow Purple Purple Purple Purple Blue\nPink Purple Purple Purple Purple Yellow Purple Purple Purple Purple Purple Yellow Yellow Purple Purple Blue\nPink Yellow Purple Purple Yellow Purple Yellow Purple Purple Purple Purple Purple Purple Purple Purple Blue\nPink Purple Purple Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue\nPink Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue\nPink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Blue\n\nOutput:\nPink Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nPink Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nPink Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nPink Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nPink Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nPink Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nPink Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nPink Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nPink Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nPink Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nPink Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nYellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown\nYellow Gray Yellow Gray Gray Gray Yellow Gray Gray Gray Gray Gray Gray Brown\nYellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown\nYellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown\nYellow Yellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown\nYellow Gray Gray Gray Gray Gray Yellow Gray Gray Gray Gray Gray Gray Brown\nYellow Gray Gray Gray Gray Gray Yellow Gray Yellow Gray Yellow Gray Gray Brown\nYellow Gray Gray Gray Gray Gray Gray Yellow Gray Gray Gray Gray Gray Brown\nYellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown\nYellow Gray Gray Gray Gray Gray Gray Yellow Gray Gray Gray Yellow Yellow Brown\nYellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown\nYellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown\nYellow Gray Gray Gray Gray Yellow Gray Gray Gray Gray Gray Gray Gray Brown\nYellow Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Black Black Black Black Yellow Black Black Black Black Black Black Black Brown\nYellow Black Black Black Black Yellow Black Black Black Black Black Black Black Brown\nYellow Black Black Black Black Yellow Black Black Black Black Black Black Black Brown\nYellow Black Black Black Black Yellow Black Black Black Black Black Black Black Brown\nYellow Black Black Black Black Yellow Black Black Black Black Black Black Black Brown\nYellow Black Black Black Black Yellow Black Black Black Black Black Black Black Brown\nYellow Black Black Black Black Yellow Black Black Black Black Black Black Black Brown\nYellow Black Black Black Black Yellow Black Black Black Black Black Black Black Brown\nYellow Black Black Black Black Yellow Black Black Black Black Black Black Black Brown\nYellow Black Black Black Black Yellow Black Black Black Black Black Black Black Brown\nYellow Black Black Black Black Yellow Black Black Black Black Black Black Black Brown\nYellow Black Black Black Black Yellow Black Black Black Black Black Black Black Brown\nYellow Black Black Black Black Yellow Black Black Black Black Black Black Black Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Blue\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Blue\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Blue\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Blue\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Blue\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Blue\nBlue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nBlue Blue Blue Blue Blue Blue Blue\nBlue Yellow Yellow Yellow Blue Blue Blue\nBlue Yellow Yellow Yellow Blue Blue Blue\nBlue Yellow Yellow Yellow Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlue Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Blue Black Black\nBlue Blue Blue Black Black Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue 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 Red Black Black Black Black Red Black Black\nRed Red Red Black Black Red Red Red Black\nBlack Red Red Red Red Red Red Black Black\nRed Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Black\nRed Red Red Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black\nBlack Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Black Blue\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 Red Red Red\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Red Black Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue\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 Red Red Red Red Red Red Red Black\nBlack Black Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Red Red Red Red Red\nBlack Black Red Red Red Black Black Red Red Red\nBlack Black Red Red Red Black Black Red Red Red\nBlack Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Yellow Black\nOrange Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nRed Black Black Black Black Black Orange Black Black Black Orange Black Orange Black Black Black Black\nBlack Black Black Orange Black Yellow Black Black Black Orange Black Black Black Black Black Black Black\nOrange Black Black Black Black Orange Orange Black Brown Orange Black Orange Yellow Orange Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Orange Orange Orange Black Orange\nOrange Black Orange Black Orange Orange Pink Black Orange Purple Black Black Black Black Orange Black Black\nRed Green Black Black Black Red Black Orange Black Black Black Orange Black Black Black Orange Black\nBlack Black Orange Black Black Black Orange Black Black Black Orange Black Black Black Orange Black Black\nBlue Orange Black Purple Red Black Orange Orange Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Orange Black Black Black Purple Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black 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 Orange Orange Orange Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Brown Orange Black Orange Yellow Orange Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Orange Orange Orange Black Black\nOrange Black Black Black Orange Orange Pink Black Orange Purple Black Black Black Black Orange Black Black\nRed Green Black Black Black Red 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 Orange Black Black\nBlue Orange Black Purple Red Black Orange Orange Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Orange Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Orange Black Orange Orange Black Black Black Orange Purple Black Black\nBlack Brown Black Gray Black Black Black Orange Black Black Black Black Orange Black Black\nPink Orange Black Black Black Orange Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Red Orange Orange Black Black Black Black Orange Black Orange\nBlue Black Black Black Black Black Pink Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Orange Black Black Black Black Orange Black Black Black\nBlack Pink Black Black Purple Black Black Black Black Orange Orange Black Black Black Yellow\nBlack Black Black Black Black Black Green Orange Orange Black Purple Black Orange Black Black\nBlack Black Black Black Orange Orange Black Black Purple Black Orange Orange Black Orange Black\nOrange Black Black Black Orange Black Black Purple Gray Black Black Black Black Pink Black\nBlack Orange Orange Orange Black Black Black Black Black Black Orange Black Black Brown Black\nOrange Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Orange Orange Black Black Black Orange Purple Black Black\nBlack Brown Black Black Black Black Black Orange Black Black Black Black Orange Black Black\nPink Orange Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Green Orange Orange Black Purple Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Purple Black Orange Orange Black Orange Black\nBlack Black Black Black Orange Black Black Purple Gray Black Black Black Black Pink Black\nBlack Orange Orange Orange Black Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGray Black Yellow Black Gray Black Black Black Black Black Black Gray Gray Black Black Black\nPink 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 Blue\nBlack Black Black Black Black Gray Black Black Gray Yellow Black Black Black Black Black Gray\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Red Black Black Black Black Blue Black Gray Gray Black Black Black Black Gray\nBlack Black Gray Black Gray Black Black Gray Black Black Gray Gray Black Black Yellow Black\nBlack Black Black Gray Black Yellow Black Black Black Gray Black Black Gray Gray Purple Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Brown Black Black Black Black\nGray Black Black Black Black Brown Gray Black Gray Black Black Black Gray Black Gray Black\nGray 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:\nGray Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nPink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Gray Yellow Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Red Black Black Black Black Blue Black Gray Gray Black Black Black Black Gray\nBlack Black Gray Black Black Black Black Gray Black Black Gray Gray Black Black Yellow Black\nBlack Black Black Gray Black Black Black Black Black Black Black Black Gray Gray Purple Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Brown Gray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Black Orange Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Pink Black\nBlack Black Black Black Pink Red Black Black Pink Pink Black Black Pink Black\nPink Black Black Black Brown Black Black Pink Black Gray Black Black Black Black\nPink Black Pink Black Red Pink Green Orange Black Black Black Pink Black Black\nBlack Black Black Black Black Pink Black Black Pink Black Black Black Pink Black\nBlack Pink Black Black Black Pink Black Black Pink Black Blue Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black Black Black Pink Black Pink\nBlack Black Black Black Black Black Black Black Black Pink Black Pink Black Black\nBlack Black Purple Pink Black Black Pink Black Pink Purple Black Black Black Black\nYellow Black Black Black Black Black Black Black Yellow Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Brown Black Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Pink Red Black Black Pink Pink Black Black Pink Black\nPink Black Black Black Brown Black Black Pink Black Gray Black Black Black Black\nPink Black Black Black Red Pink Green Orange Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Pink Black 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 Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Pink Black Black\nBlack Black Purple Pink Black Black Black Black Pink Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Green Green\nGreen Black Black Green Black\nGreen Green Green Black Green\nBlack Green Green Black Green\nBlack Black Black Black Black\nBlack Green Green Green Black\nGreen Green Black Black Green\nYellow Yellow Yellow Yellow Yellow\nGreen Black Green Black Green\nGreen Black Green Green Green\nGreen Green Black Green Black\nGreen Green Black Black Black\nGreen Green Green Green Black\nGreen Green Green Black Green\nGreen Green Green Black Green\n\nOutput:\nBlack Black Black Black Red\nRed Black Black Red Black\nRed Red Black Black Black\nBlack Red Black Black Black\nBlack Black Black Black Black\nBlack Red Red Black Black\nRed Red Black Black Red\n\n\nExample 2\nInput:\nGreen Black Black Black Black Green Green\nBlack Black Black Black Green Green Green\nGreen Black Black Green Green Green Black\nGreen Black Green Green Green Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Black Green\nGreen Black Green Green Green Green Green\nBlack Black Black Black Green Green Green\nGreen Black Green Black Black Green Green\n\nOutput:\nRed Black Black Black Black Black Red\nBlack Black Black Black Red Red Red\nBlack Black Black Black Red Red Black\nRed Black Red Black Black Black Black\n\n\nExample 3\nInput:\nGreen Black Black Black Black Green Green Black\nBlack Green Black Green Black Green Green Green\nGreen Black Green Green Green Black Black Black\nBlack Black Green Black Black Black Black Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Black Green Black Black Green Green Black\nGreen Black Black Black Black Green Green Black\nGreen Black Green Black Black Black Black Black\nGreen Green Black Black Green Green Green Black\n\nOutput:\nRed Black Black Black Black Red Red Black\nBlack Black Black Black Black Red Red Black\nRed Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Green Green Black Green Black\nGreen Black Black Green Green Green\nBlack Black Black Black Green Black\nGreen Black Black Green Black Black\nBlack Green Black Green Green Black\nGreen Green Black Green Green Black\nYellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Green Black Green Green\nGreen Green Black Black Black Black\nGreen Black Black Green Black Green\nGreen Black Black Green Green Black\nBlack Black Black Green Black Green\nGreen Black Green Green Green Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Red Black Red Black\nRed Black Black Black Black Black\nBlack Black Black Black Black Black\nRed Black Black Red Black Black\nBlack Black Black Red Black Black\nRed Black Black Red Red Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Green Black Black Black\nBlack Black Black Black Black Green Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Black Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Pink Pink Black Pink Pink Black\nBlack Black Black Black Black Black Orange Orange Black Orange Orange Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Yellow Yellow Black Yellow Black Black Black\nBlack Black Black Black Green Green Black Green Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black\nBlack Black Black Black Blue\nBlack Black Black Black Blue\nBlack Black Black Black Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Red Red Red Black Black Black Black\nBlack Red Red Red Red Black Black Black Red Black Red Black Black Black Black\nBlack Red Red Gray Red Black Black Black Red Red Red Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black\nBlue Blue Blue Blue Blue\nBlue Blue Black Blue Blue\nBlue Blue Blue Blue Blue\nBlue Blue Blue 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 Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nBlue Blue Blue Blue Blue\nBlue Blue Black Blue Blue\nBlue Blue Blue Blue Blue\nBlack Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Green Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Green Green Brown Black Brown Black Black Black Black Black Black Black\nPink Pink Pink Black Brown Brown Brown Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nPink Black Pink 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\nBlack Black Black Black 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\nBlack Black Black Black Black\nBlack Black Black Black Blue\nBlack Black Black Black Blue\nBlack 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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black\nBlack Purple Purple Purple Black Gray Gray Gray\nBlack Purple Purple Purple Black Black Gray 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 Purple Purple Purple Black\nBlack Black Black Black Purple Purple Purple Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black\nOrange Orange Orange Black Black Red Red 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\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 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\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black\nRed Red Black Black Black Black Yellow Yellow Black\nBlack Red Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Black Black Blue Blue\nOrange Orange Black Black Blue Blue\nOrange Orange Black Black Black Black\nBlack Black Black Orange Orange Black\nBlue Blue Black Orange Orange Black\nBlue Blue Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Black Black Black Black\nOrange Orange Black Black Black Black\nOrange Orange Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Blue Blue\nBlack Black Black Black Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Black Black Blue Black Blue\nBlack Black Black Blue Blue Blue Blue Blue Black Black Blue Black Blue\nBlack Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue\nBlack Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Orange Orange Orange\nBlack Black Black Blue Blue Blue Blue Blue Black Black Orange Black Orange\nBlack Black Black Blue Blue Blue Blue Blue Black Black Orange Black Orange\nBlack Black Black Blue Blue Blue Blue Blue Black Black Orange Orange Orange\nBlack Black Black Blue Blue Blue Blue Blue 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\nBlue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Black Black Blue Black Black Blue Black Black Black\nBlue Blue Blue Black Black Blue Black Black Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Blue Black Black Black\nBlack Blue Blue Blue Black Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue 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\nBlue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Orange Orange Orange Orange Black Black Black\nBlue Blue Blue Black Black Orange Black Black Orange Black Black Black\nBlue Blue Blue Black Black Orange Black Black Orange Black Black Black\nBlack Black Black Black Black Orange Black Black Orange Black Black Black\nBlack Blue Blue Blue Black Orange Orange Orange Orange Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue 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 Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Black Black Black Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue 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 Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Black Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black Black Black Orange Black Black\nBlack Black Black Black Orange Black Black Black Black Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Orange Black Black Black Orange Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange 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\nBlue Blue Blue Black Black Blue Blue Blue Black Blue Blue Blue Blue Black\nBlue Blue Blue Black Black Blue Black Blue Black Blue Blue Blue Blue Black\nBlue Blue Blue Black Black Blue Black Blue Black Blue Blue Blue Blue Black\nBlue Blue Blue Black Black Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Orange Orange Orange Black Blue Blue Blue Blue Black\nBlue Blue Blue Black Black Orange Black Orange Black Blue Blue Blue Blue Black\nBlue Blue Blue Black Black Orange Black Orange Black Blue Blue Blue Blue Black\nBlue Blue Blue Black Black Orange Orange Orange Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Pink Pink Pink Orange Orange Pink Pink Pink Orange Orange Pink Pink Pink Orange\nGray Blue Blue Blue Gray Gray Blue Blue Blue Gray Gray Blue Blue Blue Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Gray Blue Gray Blue Blue Gray Blue Gray Blue Blue Gray Blue Gray Blue\nOrange Pink Pink Pink Orange Orange Pink Pink Pink Orange Orange Pink Pink Pink Orange\nGray Blue Blue Blue Gray Gray Blue Blue Blue Gray Black Black Blue Blue Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue\nBlue Gray Blue Gray Blue Blue Gray Blue Gray Blue Black Black Blue Gray Blue\nOrange Pink Pink Pink Orange Orange Pink Pink Pink Orange Orange Pink Pink Pink Orange\nGray Blue Blue Blue Gray Gray Blue Blue Blue Gray Gray Blue Blue Blue Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Gray Blue Gray Blue Blue Gray Blue Gray Blue Blue Gray Blue Gray Blue\n\nOutput:\nGray Blue\nBlue Blue\nBlue Gray\n\n\nExample 2\nInput:\nRed Red Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Orange\nGreen Orange Orange Green Green Orange Orange Green\nGreen Purple Black Black Green Purple Purple Green\nOrange Yellow Black Black Orange Yellow Yellow Orange\nRed Red Black Black Red Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Orange\nGreen Orange Orange Green Green Orange Orange Green\nGreen Purple Purple Green Green Purple Purple Green\nOrange Yellow Yellow Orange Orange Yellow Yellow Orange\n\nOutput:\nPurple Green\nYellow Orange\nRed Red\n\n\nExample 3\nInput:\nOrange Orange Purple Brown Orange Orange Orange Purple Brown Orange\nBlue Orange Brown Brown Purple Blue Orange Brown Brown Purple\nBlue Gray Red Red Red Blue Gray Red Red Red\nGray Gray Red Blue Gray Gray Gray Red Blue Gray\nGray Brown Yellow Gray Pink Gray Brown Yellow Gray Pink\nOrange Orange Purple Brown Orange Orange Orange Purple Brown Orange\nBlue Orange Brown Brown Purple Blue Orange Brown Brown Purple\nBlue Gray Black Black Black Blue Gray Red Red Red\nGray Gray Black Black Black Gray Gray Red Blue Gray\nGray Brown Black Black Black Gray Brown Yellow Gray Pink\n\nOutput:\nRed Red Red\nRed Blue Gray\nYellow Gray Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Yellow Blue Blue Yellow Blue Blue Yellow Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Yellow Black Black Black Blue Blue Yellow Blue\nBlue Blue Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Yellow Blue Blue Yellow Blue Blue Yellow Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Yellow\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:\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Black Black Pink\nPink Black Black Brown Black Brown Black Pink\nPink Black Black Black Brown Brown 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:\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Brown Pink Brown Pink Pink\nPink Pink Pink Pink Brown Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Black Yellow\nYellow Blue Blue Blue Black Black Yellow\nYellow Black Black Blue Black Black Yellow\nYellow Blue Blue Blue Black Black Yellow\nYellow Black Black Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Blue Blue Blue Yellow Yellow Yellow\nYellow Black Black Blue Yellow Yellow Yellow\nYellow Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Black Yellow Yellow Black Black Black Black Brown\nBrown Black Yellow Yellow Yellow Black Black Black Brown\nBrown Black Yellow Black Yellow Black Black Black Brown\nBrown Black Yellow Black Yellow Black Black Black Brown\nBrown Black Black Black Black Black Black Black Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Yellow Yellow Brown Brown Brown Brown Brown\nBrown Brown Yellow Yellow Yellow Brown Brown Brown Brown\nBrown Brown Yellow Brown Yellow Brown Brown Brown Brown\nBrown Brown Yellow Brown Yellow Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Gray Black Black Pink\nPink Black Black Black Gray Gray Black Black Pink\nPink Black Black Black Black Gray Black Black Pink\nPink Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Pink\nPink Black Black Black Black Black Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Gray Pink Pink Pink\nPink Pink Pink Pink Gray Gray Pink Pink Pink\nPink Pink Pink Pink Pink Gray Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Black Black Black Black Black Black Black Black Orange\nOrange Purple Purple Purple Purple Purple Purple Black Black Orange\nOrange Purple Purple Purple Purple Purple Purple Black Black Orange\nOrange Purple Purple Purple Purple Purple Purple Black Black Orange\nOrange Purple Purple Purple Purple Purple Purple Black Black Orange\nOrange Purple Purple Purple Purple Purple Purple Black Black Orange\nOrange Purple Purple Purple Purple Purple Purple Black Black Orange\nOrange Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Orange\nOrange Black Black Black Black Black Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Orange Orange Orange Black Black Black Black Black Yellow\nYellow Black Black Orange Orange Orange Black Black Black Black Black Yellow\nYellow Black Black Orange Orange Orange Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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 Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Black Black Black Gray Gray Gray Gray Gray Gray Black Black Brown\nBrown Black Black Black Gray Gray Gray Gray Gray Gray Black Black Brown\nBrown Black Black Black Gray Gray Gray Gray Gray Gray Black Black Brown\nBrown Black Black Black Gray Gray Gray Gray Gray Gray Black Black Brown\nBrown Black Black Black Gray Gray Gray Gray Gray Gray Black Black Brown\nBrown Black Black Black Gray Gray Gray Gray Gray Gray Black Black Brown\nBrown Black Black Black Black Black Black Black Black Black Black Black Brown\nBrown 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\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black 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:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Pink Pink Pink Pink Pink Black Gray\nGray Black Black Black Pink Pink Pink Pink Pink Black Gray\nGray Black Black Black Pink Pink Pink Pink Pink Black Gray\nGray Black Black Black Pink Pink Pink Pink Pink Black Gray\nGray Black Black Black Pink Pink Pink Pink Pink Black Gray\nGray Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Gray\nGray Black Black Black Black Black Black Black Black Black Gray\nGray 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```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Gray Black Black Black\nBlack Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black\nBlack Red Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Green Black Black\nBlack Black Black Black Green 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 Blue Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Red Black Black Red Black Black Black Black Black Green Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Black Black Black Black Black Black Gray Black Red 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\nBlack Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Red Black Black Black Black Black Black Black Gray Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple 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 Brown Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Brown Black Green Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green 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 Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Purple Black Black Black Black Black Black Black Red Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple 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\nBlack Black Yellow Black Green Black Black\nBlack Yellow Black Black Black Blue Black\nBlack Orange Black Black Black Yellow Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Black Black\nBlack Black Black Blue Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Yellow Black Green Black Black Blue Black Black\nBlack Black Black Black Black Yellow Black Black Black Blue Black Black Black Black\nBlack Black Black Orange Black Orange Black Black Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Yellow Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow 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 Green Green Green Black\nGreen Green Green Green Green\nGreen Green Black Green Green\nGreen Green Green Green Green\nBlack Green Green Green 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 Gray Gray Gray Black\nGray Gray Gray Gray Gray\nGray Gray Black Gray Gray\nGray Gray Gray Gray Gray\nBlack Gray Gray Gray 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 Purple Purple Purple Black\nPurple Purple Purple Purple Purple\nPurple Purple Black Purple Purple\nPurple Purple Purple Purple Purple\nBlack Purple Purple Purple Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Gray Black Black Green Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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:\nPink Black Black Black Black Black Gray Black Black Green Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Brown Black Black Brown Brown Purple Pink Orange Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Black Red Brown Black Black Brown Black Purple Pink Orange Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Black Blue Pink Gray Black Black Yellow Green Purple Black Brown Gray Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Red Black Blue Pink Gray Black Black Yellow Green Purple Black Brown Gray Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Blue Black Gray Black Black Orange Black Purple Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Blue Black Gray Black Black Orange Black Purple Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Black Black Black Black\nYellow Yellow Black Black Black Black\nBlack Black Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black\nBlack Yellow Yellow Yellow\nBlack Yellow Yellow Yellow\nBlack Yellow Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Black Black Black Black\nGreen Green Black Black Black Black\nBlack Black Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange\n\nOutput:\nBlack Black Black Black\nBlack Green Green Green\nBlack Green Green Green\nBlack Green Green Green\n\n\nExample 3\nInput:\nGreen Green Black Black Black Black\nGreen Green Black Black Black Black\nBlack Black Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple\nBlack Black Purple Purple Purple Purple\n\nOutput:\nBlack Black Black Black\nBlack Green Green Green\nBlack Green Green Green\nBlack Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Black Black Black Black\nGray Gray Black Black Black Black\nBlack Black Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink\nBlack Black Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black\nBlack Gray Gray Gray\nBlack Gray Gray Gray\nBlack 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:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Black Black Black Black Black Black Black Black Purple\nOrange Black Black Black Black Black Black Black Black Purple\nOrange Black Black Pink Pink Pink Pink Black Black Purple\nOrange Black Black Pink Pink Pink Pink Black Black Purple\nOrange Black Black Pink Pink Pink Pink Black Black Purple\nOrange Black Black Black Black Black Black Black Black Purple\nOrange Black Black Black Black Black Black Black Black Purple\nOrange Black Black Black Black Black Black Black Black Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Pink Pink Pink Pink Black Black Yellow\nYellow Black Black Pink Pink Pink Pink Black Black Yellow\nYellow Black Black Pink Pink Pink Pink Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Black Black Black Black Black Black Black Orange\nBrown Black Black Black Black Black Black Black Orange\nBrown Black Red Red Red Red Black Black Orange\nBrown Black Red Red Red Red Black Black Orange\nBrown Black Black Black Black Black Black Black Orange\nBrown Black Black Black Black Black Black Black Orange\nBrown Black Black Black Black Black Black Black Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Yellow\nYellow Black Red Red Red Red Black Black Yellow\nYellow Black Red Red Red Red Black Black Yellow\nYellow Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Black Black Black Black Black Black Black Black Black Red\nYellow Black Black Black Black Black Black Black Black Black Red\nYellow Black Black Red Red Red Red Black Black Black Red\nYellow Black Black Red Red Red Red Black Black Black Red\nYellow Black Black Black Black Black Black Black Black Black Red\nYellow Black Black Black Black Black Black Black Black Black Red\nYellow Black Black Black Black Black Black Black Black Black Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Red Red Red Red Black Black Black Purple\nPurple Black Black Red Red Red Red Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Purple\nPurple Black Black Black Black Black Black Black Black Black Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Red Red Red Red Red\nOrange Black Black Black Black Black Black Black Black Black Brown\nOrange Black Black Black Black Black Black Black Black Black Brown\nOrange Black Black Black Black Black Black Black Black Black Brown\nOrange Black Black Black Gray Gray Gray Black Black Black Brown\nOrange Black Black Black Gray Gray Gray Black Black Black Brown\nOrange Black Black Black Gray Gray Gray Black Black Black Brown\nOrange Black Black Black Black Black Black Black Black Black Brown\nOrange Black Black Black Black Black Black Black Black Black Brown\nOrange Black Black Black Black Black Black Black Black Black Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Red Red Red Red\nRed Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Gray Gray Gray Black Black Black Red\nRed Black Black Black Gray Gray Gray Black Black Black Red\nRed Black Black Black Gray Gray Gray Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Red\nRed Black Black Black Black Black Black Black Black Black Red\nRed 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:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray\nGray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Green Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Green Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Green Gray Gray Gray Gray Gray Gray Green Gray Gray\n\n\nExample 2\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Purple 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 Purple Gray Gray Gray Gray\nGray Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray Gray\nGray Gray Purple Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Gray Gray Gray Gray\nGray Gray Gray Gray Gray Purple Gray Gray Gray Gray Gray Gray Gray Purple 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 Purple Gray Gray Purple Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Purple Gray Gray Purple Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Purple Gray Gray Purple Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Gray Gray Gray Gray\nPurple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Gray Gray Gray Gray\nGray Gray Gray Gray Gray Purple Gray Gray Gray Gray Purple Gray Gray Purple Gray\nGray Gray Gray Gray Gray Purple Gray Gray Gray Gray Purple Gray Gray Purple Gray\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Pink Pink Pink Pink Pink\nPink Pink Red Red Red Pink Pink Pink Pink Pink Pink Brown Pink Pink Pink Pink Pink Pink Pink\nPink Pink Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink 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 Brown Pink Brown Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Pink Brown Pink Pink Pink Pink Pink\nPink Pink Red Red Red Pink Pink Pink Pink Pink Pink Brown Pink Pink Pink Pink Pink Pink Pink\nPink Pink Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Brown Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Brown Pink Pink Pink Pink Pink Brown Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Brown Pink Pink Pink Pink Pink Brown Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Brown Pink Pink Pink Pink Pink Brown 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input 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 Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Blue Green Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Blue Green Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Blue Green Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Blue 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\nBlack Purple Purple Black Black Black Black Black\nBlack Purple Purple Black Pink Black Black Black\nBlack Black Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Black Black Black\nBlack Black Pink Pink Black Brown Brown Brown\nBlack Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Brown Black Brown\nBlack Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black\nBlack Black Purple Purple Black Pink Black Black\nBlack Black Black Pink Pink Pink Black Black\nBlack Black Black Pink Pink Pink Black Black\nBlack Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Green Green\nRed Red Red Black Black Black Black Black Green\nBlack Black Red 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 Red Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBrown Black Black Black Black Black Black Black Black\nBrown Black Black Brown Brown Brown Black Black Black\nBrown Black Black Brown Brown Brown Black Gray Gray\nBrown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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:\nBrown Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Brown Brown Brown\nBrown Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow 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 Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Brown Brown Brown Black Yellow Brown Pink Pink Pink Pink Black Black\nBlack Brown Brown Brown Brown Brown Brown Pink Pink Pink Black Black Black\nBlack Brown Brown Brown Brown Brown Purple Pink Pink Black Purple Black Black\nBlack Brown Brown Brown Brown Brown Black Purple Gray Purple Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Gray Gray Gray Black Black Black\nBlack Brown Brown Brown Black Yellow Brown Purple Gray Purple Black Black Black\nBlack Black Black Black Black Black Purple 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 Black Black Black Black Black Black Black\nBlack Black 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 Pink Pink Pink Pink Black Black\nBlack Brown Brown Brown Black Yellow Brown Pink Pink Pink Pink Black Black\nBlack Brown Brown Brown Brown Brown Brown Pink Pink Pink Black Black Black\nBlack Brown Brown Brown Brown Brown Purple Pink Pink Yellow Purple Black Black\nBlack Brown Brown Brown Brown Brown Yellow Purple Gray Purple Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Gray Gray Gray Black Black Black\nBlack Brown Brown Brown Black Yellow Brown Purple Gray Purple Black Black Black\nBlack Black Black Black Black Black Purple 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Yellow Black Yellow Black Black\nBlack Black Black Black Purple Black Purple Black Yellow Yellow Purple Black\nBlack Black Black Black Black Purple Purple Black Yellow Yellow Purple Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Green Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Green Black Green Green Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black\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 Purple Black Black Yellow Black Yellow Black Black\nBlack Black Black Black Purple Black Purple Yellow Yellow Yellow Purple Black\nBlack Black Black Black Black Purple Purple Yellow Yellow Yellow Purple Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Yellow Green Green Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Green Yellow Green Green Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black\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 Red Red Red Red Red Black Black Black Black\nBlack Brown Brown Brown Brown Brown Red Red Red Brown Red Black Black Black\nBlack Black Brown Brown Red Red Brown Brown Brown Red Red Black Black Black\nBlack Brown Black Brown Brown Brown Brown Black Brown Red Red Black Black Black\nBlack Black Black Black Brown Brown Red Brown Brown Red Red Black Black Black\nBlack Black Black Black Brown Red Brown Brown Red Brown Red Black Black Black\nBlack Black Black Black Black Brown Brown Brown Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Red Red Red Red Black Black Black Black\nBlack Brown Brown Brown Brown Brown Red Red Red Brown Red Black Black Black\nBlack Black Brown Brown Red Red Brown Brown Brown Red Red Black Black Black\nBlack Brown Black Brown Brown Brown Brown Yellow Brown Red Red Black Black Black\nBlack Black Black Black Brown Brown Red Brown Brown Red Red Black Black Black\nBlack Black Black Black Brown Red Brown Brown Red Brown Red Black Black Black\nBlack Black Black Black Black Brown Brown Brown Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Black Pink 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 Brown Yellow Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Brown Brown Yellow Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Brown Brown Yellow Black Black Black\nBlack Black Black Black Black Gray Gray Black Gray Gray Gray Brown Yellow Black Black Black Black\nBlack Black Black Black Black Black Gray Gray 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 Black\nBlack Black Black Black Black Gray Gray Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Yellow Pink 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 Brown Yellow Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Brown Brown Yellow Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Brown Brown Yellow Black Black Black\nBlack Black Black Black Black Gray Gray Yellow Gray Gray Gray Brown Yellow Black Black Black Black\nBlack Black Black Black Black Black Gray Gray 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 Black\nBlack Black Black Black Black Gray Gray Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Green Black Black Black Black Black Black Green Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Purple Black Black\nPurple 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Green Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray 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\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Yellow\nBrown Brown Brown Brown Black\nBrown Brown Brown Brown Black\nBrown Brown Brown Brown Black\nBrown Brown Brown Brown Black\n\n\nExample 2\nInput:\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Yellow Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Yellow\nBlue Blue Blue Blue Black\nBlue Blue Blue Blue Black\nBlue Blue Blue Blue Black\nBlue Blue Blue Blue Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Yellow Yellow Yellow Black Black Black\nBlack 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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Black Black Black\nGreen Green Green Green Black Black Black\nGreen Green Green Green Black Black Black\nGreen Green Green Green Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Gray Gray Gray\nBlack Black Black Black 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 Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Red Red Red Red Red Red Black\nRed Red Red Red Black Black Red Blue Blue Blue Blue Red Black\nRed Blue Blue Red Black Black Red Blue Blue Blue Blue Red Black\nRed Blue Blue Red Black Black Red Blue Blue Red Red Red Black\nRed Blue Blue Blue Red Red Blue Blue Red Black Black Black Black\nRed Red Red Red Blue Blue Blue Blue Red Black Black Black Black\nBlack Black Black Black Red Blue Blue Blue Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Black Blue Blue Blue Black\nBlack Black Blue Blue Blue Blue Blue Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue 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 Red Red Red Red Red Black Black Black Black Black\nBlack Black Red Blue Blue Blue Red Black Black Black Black Black\nBlack Black Red Blue Blue Blue Red Black Red Red Red Black\nBlack Black Red Blue Blue Blue Red Black Red Blue Red Black\nBlack Black Red Red Red Red Red Black Red Blue Red Black\nBlack Black Black Black Black Black Black Black Red Blue Red Black\nBlack Black Black Black Black Black Black Black Red Blue Red Black\nBlack Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Black Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Black Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Black Black Black Black Black Black Black\nRed Blue Blue Blue Red Black Red Red Red Black Black Black\nRed Blue Blue Blue Red Black Red Blue Red Black Black Black\nRed Blue Blue Blue Red Black Red Red Red Black Black Black\nRed Blue Blue Blue Red Black Black Black Black Black Black Black\nRed Blue Blue Blue Red Black Black Black Black Black Black Black\nBlack Red Blue Blue Blue Red Red Black Black Black Black Black\nBlack Red Blue Blue Blue Blue Red Black Black Black Black Black\nBlack Red Blue Blue Blue Blue Red Black Black Black Black Black\nBlack Red Blue Blue Blue Blue Red Black Black Black Black Black\nBlack Red Blue Blue Blue Blue Red Black Black Black Black Black\nBlack Red Red Red Red Red Red Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nRed Blue Blue Red Black Black Black Black Black Black Black Black Black Black\nRed Blue Blue Red Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Gray Black Black\nBlack Green Black Black Black Black Brown Black\nBlack Black Orange Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown\nBlack Purple Black Black Black Pink Black Brown\nOrange Black Orange Orange Black Black Green Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Black Black Black Black Black\nBlack Brown Black Black Black Black Orange Black\nBlack Green Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black\nBrown Black Pink Black Black Black Purple Black\nBlack Orange Black Black Blue Blue Black Blue\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Blue Red Pink Black Black\nBlue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOrange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Red Black Black Black Black Black\nBlack Black Black Black Gray Black Black\n\nOutput:\nBlack Black Pink Yellow Gray Black Black\nBlack Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black\nBlack Black Green Black Black Black Black\n\n\nExample 3\nInput:\nGreen Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black\nBlack Black Yellow Black Black Black Orange Black Black\nBlack Black Black Black Purple Black Yellow Black Black\nBlack Black Black Black Black Black Black Red Black\nBlack Black Black Black Pink Blue Gray Orange Blue\nBlack Black Black Black Black Black Black Purple Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Pink Black Black Black\nBlack Black Blue Black Black Black Red Black Black\nBlack Black Red Black Purple Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black\nGray Blue Green Gray Pink Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black\nBlack Black Black Black Pink Brown Black Black Pink\nBlack Black Black Black Black Pink Blue Black Black\nBlack Black Black Black Black Black Black Black Gray\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 Green Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown\nBlack Black Black Green Black Black Black Black Black\nPink Black Black Brown Pink Black Black Black Black\nBlack Black Gray Pink Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\nOrange 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 Green Black Black Black Black Green Black Black Black Green Black Black Black Black Black Black Green Black\nBlack Black Green Green Black Black Green Green Black Black Black Green Green Black Black Black Black Green Green Black\nBlack Black Green Green Green Green Green Green Black Black Black Green Green Green Black Black Green Green Green Black\nBlack Black Green Green Black Black Green Green Black Black Black Green Green Green Green Green Green Green Green Black\nBlack Black Green Black Black Black Black Green Black Black Black Green Green Green Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue Black Black Black Black Blue Black Black Black Yellow Black Black Black Black Black Black Yellow Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Blue Black Black Black Black Blue Black Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Green\nBlack Green Black Black Black Black Black Black Green Black Black Black Green Green Black Black Black Black Green Green\nBlack Green Green Black Black Black Black Green Green Black Black Black Green Green Green Black Black Green Green Green\nBlack Green Green Green Black Black Green Green Green Black Black Black Green Green Green Green Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Black Black Black Green Green Green Black Black Green Green Green\nBlack Green Green Green Black Black Green Green Green Black Black Black Green Green Black Black Black Black Green Green\nBlack Green Green Black Black Black Black Green Green Black Black Black Green Black Black Black Black Black Black Green\nBlack Green Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Green Black Black Black Black Green Black Green Green Black Black Green Green Black Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Green Black Black Black Black Green Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Black Black Black Black Black Black Yellow\nBlack Yellow Black Black Black Black Black Black Yellow Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow\nBlack Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow\nBlack Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Yellow Black Black Black Black Black Black Yellow\nBlack Yellow Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Black Black Black Black Red Black Red Red Black Black Red Red Black Black Black\nBlack Black Black Black Red Red Black Black Red Red Black Red Black Black Black Black Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Green Black Black Black Black Green Black Black Black Black Green\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black Green Green Black Black Green Green\nBlack Black Black Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black Green Green Black Black Green Green\nBlack Black Black Black Green Black Black Black Black Green Black Black Black Black Green Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Green Black Black Black Black Green Black Black Black Black Green Black\nBlack Green Green Black Black Black Black Green Green Black Black Black Black Green Green Black Black Green Green Black\nBlack Green Green Green Black Black Green Green Green Black Black Black Black Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Green Black Black Black Black Green Green Black Black Green Green Black\nBlack Green Green Green Black Black Green Green Green Black Black Black Black Green Black Black Black Black Green Black\nBlack Green Green Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Red Black Black Black Black Red Black Black Black Black Red\nBlack Black Black Black Red Red Black Black Red Red Black Black Black Black Red Red Black Black Red Red\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Red Red Black Black Red Red Black Black Black Black Red Red Black Black Red Red\nBlack Black Black Black Red Black Black Black Black Red Black Black Black Black Red Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Yellow Black Black Black Black Red Black Black Black Black Red Black\nBlack Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Red Red Black\nBlack Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Black Black Red Red Red Red Red Red Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Red Red Black Black Red Red Black\nBlack Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Black Black Red Black Black Black Black Red Black\nBlack Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Green Green Black Black Black Black\nBlack Green Black Black Black Black Green Black Green Green Green Black Black Green Green Green Black Black Black Black\nBlack Green Green Black Black Green Green Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Green Green Green Green Green Green Black Green Green Green Black Black Green Green Green Black Black Black Black\nBlack Green Green Black Black Green Green Black Green Green Black Black Black Black Green Green Black Black Black Black\nBlack Green Black Black Black Black Green Black Green Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Blue Black Black Black Black Blue Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Blue Blue Black Black Blue Blue Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Blue Blue Black Black Blue Blue Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Blue Black Black Black Black Blue Black Yellow Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Black Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Blue Blue Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Black Blue Black Blue Blue Black Blue Blue Black Black Black Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Blue Blue Black Blue Blue Black Black Black Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Black Black Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Black Black Blue Black Blue\nBlue Black Black Black Blue Black Black Blue Black Blue Blue Blue Black Black Black Black Blue Blue Blue\nBlue Black Black Black Blue Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Blue Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Blue Blue Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Blue Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Blue Blue Blue Blue Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Black Yellow Yellow Black Black Black Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Black Black Yellow\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Black Black Blue Blue Blue Blue Blue Black Black Black Black Yellow Black Yellow\nYellow Black Black Black Yellow Black Black Blue Black Blue Blue Blue Black Black Black Black Yellow Yellow Yellow\nYellow Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Yellow Yellow Yellow Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow 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 Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Black Black Black Blue Black Black Black\nBlack Black Black Black Blue Black Black Black Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Blue Black Blue Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue\nBlack Blue Black Blue Black Black Blue Blue Black Blue Blue Blue\nBlack Black Blue Blue Black Black Blue Blue Blue Blue 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 Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Blue Black Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Blue Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Blue Black Blue Black Black Yellow Yellow Black Yellow Yellow Yellow\nBlack Black Blue Blue Black Black Yellow Yellow Yellow Yellow Yellow Yellow\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\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Black Black Black Black Blue Black Blue Blue Blue Black Black\nBlue Black Black Black Black Blue Black Blue Black Blue Black Black\nBlue Blue Blue Blue Blue Blue Black Blue Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Black\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Black Black Black Black Yellow Black Yellow Yellow Yellow Black Black\nYellow Black Black Black Black Yellow Black Yellow Black Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Black Black Blue Blue Black Blue Black Black Black Black\nBlue Black Black Blue Black Black Black Blue Blue Blue Blue Black Black Black\nBlue Black Black Blue Black Black Blue Black Blue Blue Black Blue Black Black\nBlue Black Black Blue Black Black Black Black Blue Blue Black Blue Black Black\nBlue Blue Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Black Blue Black Blue Blue Blue Blue Black Blue Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Blue Black Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Blue Black Blue Blue Blue Blue Blue\nBlack Black Black Blue Black Blue Black Blue Black Blue Blue Black Black Blue\nBlack Black Black Blue Black Blue Black Black Blue Blue Blue Black Black Blue\nBlack Black Black Black Black Black Blue Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Black Black Blue Blue Black Blue Black Black Black Black\nYellow Black Black Yellow Black Black Black Blue Blue Blue Blue Black Black Black\nYellow Black Black Yellow Black Black Blue Black Blue Blue Black Blue Black Black\nYellow Black Black Yellow Black Black Black Black Blue Blue Black Blue Black Black\nYellow Yellow Yellow Yellow Black Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Black Yellow Black Blue Blue Blue Blue Black Blue Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Blue Black Yellow Black Black Black Black\nBlack Black Black Black Blue Blue Black Blue Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Blue Black Blue Black Blue Black Yellow Yellow Black Black Yellow\nBlack Black Black Blue Black Blue Black Black Yellow Yellow Yellow Black Black Yellow\nBlack Black Black Black Black Black Blue Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Gray Yellow Black Black\nBlack Black Black Black Yellow Gray Gray Yellow Black Black\nBlack Black Black Yellow Gray Gray Gray Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black Black\nBlack Black Black Yellow Gray Yellow Yellow Black Black Black\nBlack Black Black Yellow Gray Gray Gray Yellow Black Black\nBlack Black Black Yellow Gray Gray Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Gray Gray Yellow Black Black Black\nBlack Black Black Yellow Gray Gray Yellow Black Black Black\nBlack Black Black Yellow Gray Gray Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns 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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Gray Gray Gray Yellow Black Black\nBlack Black Black Yellow Gray Gray Yellow Black Black Black\nBlack Black Black Black Yellow Gray Gray Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nGreen Green Black Black Pink Pink Pink Black\nGreen Green Black Black Pink Pink Pink Black\nBlack Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nGreen Green 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\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green 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\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black\nBlack Pink Pink Pink Black Black Black\nBlack Orange Orange Black Black Black Black\nBlack Orange Orange Black Black Black Black\nBlack 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 Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black 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\nBlue Blue Blue Red Red Red Black\nBlue Blue Blue Red Red Red Black\nBlue Blue Blue Red Red Red 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBrown Brown Brown Green Black Black Black Black Black\nBrown Brown Brown Green Gray Gray Black Black Black\nBrown Brown Brown Black Gray Gray Black Black Black\nBlack Black Black Black Gray Gray 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Green Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Orange Orange Orange Purple Black Black Black\nBlack Black Black Black Black Orange Black Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange 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\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\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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\nPurple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Orange Black Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Purple Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Purple Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black 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 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 Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Orange 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 Black Black Black\nBlack Orange Orange Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Pink Pink Pink Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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```\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Green Green 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 Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green 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 Black Black Black Black\nGreen Green Green Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Black Black Black Black\nBrown Black Black Black Black Black Black Black Blue Black Black Black Black Brown Black\nBlack Black Black Black Black Black Blue Black Blue Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Blue Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Orange Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown\nOrange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Blue Blue Black Black\nBlack Black Black Black Blue Black Black Blue Blue Black Black\nBlack Black Black Blue Blue Black Blue Black Blue Blue Black\nBlack Black Black Blue Black Black Black Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Blue Blue Black Black\nBlack Black Black Black Blue Black Black Blue Blue Black Black\nBlack Black Black Blue Blue Black Blue Black Blue Blue Black\nBlack Black Black Blue Black Black Black Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black\n\n\nExample 3\nInput:\nBlack Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black 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 Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBrown Black Black Black Blue Blue Black Black Brown Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Purple Black Black Black\nBlack Blue Black Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Gray Black Black Black Orange\nBlack Blue Blue Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black\nPurple Black Brown Black Black Black Black Black Black Black Black Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Blue Black Blue Blue Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Blue\nBlue Blue Blue Blue Red Red Red Blue Red Red Red Red Blue\nBlue Blue Blue Blue Red Red Red Blue Red Red Red Red Blue\nBlue Blue Blue Blue Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Blue\nBlue Blue Blue Blue Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Blue\nBlue Blue Blue Blue Yellow Yellow Yellow Blue Yellow Yellow Yellow Yellow Blue\nBlue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue\nBlue Blue Red Red Red Red Blue Red Red Red Blue Blue\nBlue Blue Red Red Red Red Blue Red Red Red Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue\nBlue Blue Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Blue Blue\nBlue Blue Yellow Yellow Yellow Yellow Blue Yellow Yellow Yellow Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Red Red Red Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Pink Pink Pink Black Gray Black Black Orange\nBlack Black Black Black Black Black Black Black Black Pink Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Pink Purple Purple Purple Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Orange Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Orange 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 Green Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Pink Pink Pink Black Gray Black Black Orange\nBlack Black Black Black Black Black Black Black Black Pink Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Pink Purple Purple Purple Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Purple Black Black Black\nGreen Black Black Black Black Orange Black Black Black Black Black Black Black Pink Purple Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Orange Pink Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Brown\nBlack Black Black Black Black Red Red Red Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Red Red Red Black Black Black Pink Black Black Black\nBlack Blue Blue Blue Black Red Red Red Black Purple Black Black Black Black Black\nBlack Blue Blue Blue Gray Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Orange Brown Black Black Brown Black Black Black Black Black Black Black\nPurple Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Orange Black Blue 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 Brown Black Black Pink Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Brown\nBlack Black Black Black Black Red Red Red Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Red Red Red Black Black Yellow Pink Black Black Black\nBlack Blue Blue Blue Black Red Red Red Black Yellow Black Black Black Black Black\nBlack Blue Blue Blue Gray Black Black Black Red Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Yellow Black Red Purple Black Black Black Black\nBlack Black Black Orange Blue Black Yellow Brown Black Black Red Black Black Black Black\nPurple Black Black Black Blue Blue Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Yellow Black Blue Black Blue Black Black Black Red Black Black\nBlack Black Brown Yellow Black Black Black Blue Black Black Black Black Black Red Black\nBlack Black Yellow Black Brown Black Black Pink Blue Black Black Black Black Black Red\n\n\nExample 3\nInput:\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Purple Black Black Black Black Black Black Black Black Green\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Pink Black Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Purple Black Black Black Black Black Black Black Black Green\nBlack Black Black Purple Black Black Brown Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Brown Black Black Black Pink Black Pink\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown 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 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\nGray Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Green Green Green Black Black Black\nBlack Pink Black Black Black Black Black Black Green Green Green Black Pink Black\nBlack Pink 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\nGray Black Black Black Pink Pink Pink Black Black Black Black Pink Black Black\nBlack Black Black Black Pink Pink Pink Black Black Blue Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Orange Black\nBlack Black Black Black Black Brown Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black 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\nGray Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Green Green Green Black Black Black\nBlack Pink Black Black Black Black Black Black Green Green Green Black Pink Black\nBlack Pink Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black\nGray Black Black Black Pink Pink Pink Black Black Black Black Pink Green Black\nBlack Black Black Black Pink Pink Pink Black Black Blue Black Black Black Green\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Orange Black\nBlack Black Black Black Black Brown Black Pink Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Brown Pink 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 Pink Pink Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Pink Blue Blue Blue Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black\nBlack Pink Pink Black Pink Blue Blue Blue Black Black Black Black Black Black\nBlack Pink Pink Pink Pink 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black\nBlack Pink Pink Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Brown Brown Yellow Yellow Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Yellow Yellow Brown Brown Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Orange Black Black Black\nBlack Orange Orange Black Black Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Green Green Green Green Black Black\nBlack Orange Orange Orange Green Green Green Green Black Black\nBlack Orange Orange Black Green Green Green Green Black Black\nBlack Orange Orange Black Green Green Green Green Black Black\nBlack Orange Orange Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Orange Black Black Black\nBlack Orange Orange Black Black Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Green Green Green Green Black Black\nBlack Orange Orange Orange Green Green Green Green Black Black\nBlack Orange Orange Orange Green Green Green Green Black Black\nBlack Orange Orange Orange Green Green Green Green Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Black Black Orange Orange Black Black Black\nBlack Orange Black Black Black Black Orange Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Brown Brown Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Brown Brown Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Brown Brown Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Purple Black Black Purple Black Black Black Black\nBlack Black Black Black Purple Black Black Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Purple Purple Purple Purple Purple Purple Purple Brown Brown Black\nBrown Brown Purple Purple Purple Purple Purple Purple Purple Brown Brown Black\nBrown Brown Purple Purple Purple Purple Purple Purple Purple Brown Brown Black\nBlack Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Black Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Black Purple Purple Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Pink Pink Pink Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Pink Pink Pink Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Blue Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Blue Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue 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 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 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 Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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 Brown Brown Brown Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black 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\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 Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black 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 Pink Pink Pink Pink Black Black Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns 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 Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Green Green Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Orange Orange Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange 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 Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Brown Brown Brown Brown Red Black Black Black\nBlack Black Black Black Red Brown Brown Brown Brown Red Black Black Black\nBlack Black Black Black Red Brown Brown Brown Brown Red Black Black Black\nBlack Black Black Black Red Brown Brown Brown Brown Red Black Black Black\nBlack Black Black Black Red Brown Brown Brown Brown Red Black Black Black\nBlack Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Red Black Black Black Black\nBlack Black Red Blue Blue Blue Blue Blue Red Black Black Black\nBlack Black Red Blue Blue Blue Blue Blue Red Black Black Black\nBlack Black Red Blue Blue Blue Blue Blue Red Black Black Black\nBlack Black Red Blue Blue Blue Blue Blue Red Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Yellow Yellow Yellow Red Black Black Black Black Black\nBlack Black Red Yellow Yellow Yellow Red Black Black Black Black Black\nBlack Black Red Yellow Yellow Yellow Red Black Black Black Black Black\nBlack Black Red Yellow Yellow Yellow Red Black Black Black Black Black\nBlack Black Red Yellow Yellow Yellow Red Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Red Gray Gray Gray Gray Red\nBlack Black Black Black Black Black Black Black Red Gray Gray Gray Gray Red\nBlack Black Black Black Black Black Black Black Red Gray Gray Gray Gray Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\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 Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Red Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\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 Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Red Red Black\nBlack Black Black Blue Blue Blue Blue Red Red Black\nBlack Black Black Blue Blue Blue Blue Blue Red Black\nBlack Black Black Blue Blue Blue Blue Blue Red Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Red Blue Blue Blue Black Black\nBlack Black Red Red Blue Blue Blue Blue Black Black\nBlack Black Red Red Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Blue Black Black Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Black Black Blue Blue Black\nBlack Black Black Blue Blue Black Black Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Blue Red Red Blue Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Blue Blue Black Black Blue Blue Black\nBlack Black Black Blue Blue Black Black Blue Blue Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Blue Red Red Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Brown Black Brown\nBlack Black Black Black Black Black Black Purple Brown Black\nBlack Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Brown Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Purple Brown Black\nBlack Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Black Black Black Brown Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Yellow Black Black\nBlack Black Black Black Yellow Black Black Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Green Black Red Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\nRed Red Green Red Red Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Orange Black Orange Black Black\nBlack Black Black Black Black Blue Yellow Black Blue Black\nBlack Black Black Black Black Orange Blue Orange Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Orange Blue Orange Blue Black\nBlack Black Black Black Blue Blue Yellow Blue Blue Black\nBlack Black Black Black Blue Orange Blue Orange Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Orange Orange Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Orange Orange Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Purple Blue Purple Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Blue Orange Orange Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Orange Purple Black Purple Orange Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Pink Orange Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Orange Black Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Orange Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Pink Orange Black Black Gray Orange Orange 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\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\nOrange Orange Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Orange Orange Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Orange Orange Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown 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 Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Blue Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Blue Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Blue Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Blue Red Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Orange Yellow Black Yellow Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Pink Pink Pink Orange Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Blue Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Blue Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Blue Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Blue Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Yellow Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Yellow Gray Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Gray Gray Gray Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Gray Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Gray Gray Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Gray Gray Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Gray Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Gray Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Red Blue Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black 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 Green Orange\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Purple\nPurple Blue Black Blue Purple Black Black Black Black Black Black Pink Pink Black Black Black Black Black Green Orange\nPurple Blue Pink Blue Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Red Blue Black 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 Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black\nBlack Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Brown Brown Brown Brown Brown Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Blue Blue Black Blue Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black 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 Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black\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 Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange 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 Black Orange Orange Orange Orange Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black 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 Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Yellow Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Yellow 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 Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Blue Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Brown Brown 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 Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 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\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Gray Purple Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Purple Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Gray Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Gray Green Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Orange Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Blue Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Purple Purple Black 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 Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown 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 Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Red Red Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack 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 Blue\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue 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\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Brown Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue 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\nBlack Black Black Black Pink Pink 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 Black\nBlack Black Black Pink Pink Pink 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 Black 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Purple 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 Green Green Green Black Black Black Black Black Black\nPurple Gray Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Purple Black Purple Black Black Black Black Black Black\nBlue Purple Black Black Black Black Black Black Black Black Green Green 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Brown Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Brown Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red 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 Brown Brown Red Brown Brown Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Red Black Red Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink 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 Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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 Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black\nBlue Blue Blue Black Black Black Black\nBlue Black Blue Black Black Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black\nBlue Blue Blue Black Black Black Black\nBlue Black Blue Yellow Black Black Black\nBlack Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Yellow Blue Black\nBlack Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Blue Yellow Yellow Yellow Black\nBlack Black Black Blue Blue Blue Yellow Yellow Black\nBlack Black Black Black Blue Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Yellow Yellow Black\nBlack Black Black Black Blue Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Green Green Green Green Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Orange Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Orange Orange Orange Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Orange Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Orange Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Orange Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Yellow Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Yellow Gray Gray Gray Gray Gray Gray Black Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Yellow Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Yellow Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Yellow Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Red Red Red Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Red Red Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Blue Blue Blue Blue Blue Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Orange Orange Orange Orange Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Blue Black Black Black Black Black Black Blue Blue 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 Black Blue Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Blue Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 Blue 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 Blue 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 Blue 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 Blue 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 Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black\nBlack Black 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 Black Gray Gray Gray Gray Black\nBlack Black 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 Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\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 Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Blue Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Black Black Blue Black Blue Black Black Black Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Blue Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow 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 Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Yellow Yellow Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Black Black Blue Blue Black Black Black Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Blue Blue Black Black Black Black Black Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Black Black Black Blue Black Black Black Black Black Blue Black Black Black Blue Black Black Black\nBlack Blue Black Black Black Blue Black Black Black Black Black Blue Black Black Black Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Blue Black Black Black Blue Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black Black Black\nBlack Black 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 Yellow Yellow Black Black Black Black Black\nBlack Black 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 Yellow Yellow Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black Black Black\nBlack Black 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 Yellow Yellow Black Black Black Black Black\nBlack Black 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 Yellow Yellow Black Black Black Black Black\nBlack 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 Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black Black\nBlack 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 Black Black Black Black Black\nBlack Black 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 Yellow Yellow Black Black Black Black Black\nBlack Black 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 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 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 Black\nBlack Black Black Black Black Black Black Black 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 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 Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black\nBlack Red Red Red Red Red Red Red Red Red Red\nBlack Red Red Red Red Black Black Red Red Red Red\nBlack Red Red Red Red Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Black Black Black Purple Purple Purple Purple Purple\nPurple Purple Purple Black Black Black Purple Purple Purple Purple Purple\nPurple Purple Purple Black Black Black Purple Purple Purple Purple Purple\nPurple Purple Purple Black Black Black Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Red Black Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Red 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 Red 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 Red 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 Red 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 Red 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 Red 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 Red 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 Red 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 Red 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 Red 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 Red 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 Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Black Black Black Black Orange Orange Orange Orange Black Black Black Black Red\nRed Black Black Black Black Orange Orange Orange Orange Black Black Black Black Red\nRed Black Black Black Black Orange Orange Orange Orange Black Black Black Black Red\nRed Black Black Black Black Orange Orange Orange Orange Black Black Black Black Red\nRed Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red\nRed Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red\nRed Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red\nRed Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red\nRed Black Black Black Black Orange Orange Orange Orange Black Black Black Black Red\nRed Black Black Black Black Orange Orange Orange Orange Black Black Black Black Red\nRed Black Black Black Black Orange Orange Orange Orange Black Black Black Black Red\nRed Black Black Black Black Orange Orange Orange Orange Black Black Black Black Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Yellow Yellow Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Yellow Yellow Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red 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 Red Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Red Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black 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 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 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 Black Black Black Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red\nRed Blue Blue Blue Blue Blue Blue Red\nRed Blue Blue Blue Blue Blue Blue Red\nRed Blue Blue Blue Blue Blue Blue Red\nRed Blue Blue Blue Blue Blue Blue Red\nRed Blue Blue Blue Blue Black Black Red\nRed Blue Blue Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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```\nRed Red Red Red Red Red Red Red Red Red Red\nRed Black Black Black Orange Orange Orange Black Black Black Red\nRed Black Black Black Orange Orange Orange Black Black Black Red\nRed Black Black Black Orange Orange Orange Black Black Black Red\nRed Orange Orange Orange Orange Orange Orange Orange Orange Orange Red\nRed Orange Orange Orange Orange Orange Orange Orange Orange Orange Red\nRed Orange Orange Orange Orange Orange Orange Orange Orange Orange Red\nRed Black Black Black Orange Orange Orange Black Black Black Red\nRed Black Black Black Orange Orange Orange Black Black Black Red\nRed Black Black Black Orange Orange Orange Black Black Black Red\nRed 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black\nBlack Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange\nOrange Orange\nOrange Orange\nOrange Orange\nOrange Orange\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 Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\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\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\nGray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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```\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink\nPink 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Yellow Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black 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 Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Blue Black Blue Black Blue Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack 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\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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Yellow Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black 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 Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Green Black Green Black Green Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black\nBlack 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\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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Red Black Red Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Blue Blue Blue Blue Black Black Black Red Red Red\nBlack Black Black Black Black Black Red Red Black Black Black Blue Blue Blue Black Black Black Black Red Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Green Black Green Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Green Green Green Green Black Black Black Red Red Red\nBlack Black Black Black Black Black Red Red Black Black Black Green Green Green Black Black Black Black Red Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black 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 Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Red Red Black 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 Black Black Black Black\nBlack Black Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Blue Blue Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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.",
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"content": "The output grid for the test input grid is:\n\n```\nBlack Black Red Red Black 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 Black Black Black Black\nBlack Black Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Blue Blue Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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```",
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[
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"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
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"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack 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 Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nRed Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nPurple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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.",
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"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown\n```",
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