messages
listlengths 3
3
|
|---|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Orange Blue Black Black Black Purple Orange\nBlack Black Black Black Black Black Green Black\nBlack Purple Black Orange Black Pink Purple Black\nBlack Brown Black Black Black Black Green Black\nBlack Black Purple Orange Black Orange Black Black\nBlack Orange Black Purple Pink Black Black Black\nRed Black Black Black Black Yellow Yellow Gray\nPink Black Blue Black Black Orange Black Black\nBlack Pink Yellow Black Black Black Blue Black\nPink Black Black Red Black Black Orange Black\nRed Black Black Black Black Black Black Black\nYellow Black Gray Black Purple Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBrown Green Blue Gray Pink Pink Pink\nPurple Orange Purple Red Black Blue Purple\nBlack Purple Black Black Black Purple Brown\nBlack Orange Pink Purple Black Blue Brown\nBlack Green Pink Orange Purple Orange Blue\nPurple Pink Blue Black Black Black Brown\nGray Green Brown Black Black Black Red\nPurple Black Black Gray Pink Green Black\nPink Black Orange Yellow Purple Black Red\nBlue Black Black Black Black Orange Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nBlack Black Green Green Black Blue Brown\nBlack Black Yellow Black Black Green Black\nBlack Black Black Pink Black Blue Purple\nBlack Black Black Brown Black Brown Green\nGreen Gray Black Gray Black Brown Yellow\nBlack Yellow Black Black Yellow Black Blue\nBlack Brown Pink Black Blue Black Gray\nBlack Gray Red Gray Brown Gray Pink\nYellow Blue Purple Blue Orange Orange Blue\nPink Purple Blue Black Black Pink Black\nBlack Yellow Black Brown Purple Gray Red\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Brown Red Blue Black\nBlack Pink Black Black Blue Black Green Black Brown\nBlack Red Gray Red Black Black Black Black Pink\nGray Black Yellow Black Black Black Black Black Pink\nBlue Black Black Black Yellow Black Black Black Black\nPurple Black Orange Black Black Purple Black Black Black\nPink Black Black Black Blue Black Black Purple Black\nBlack Black Brown Orange Black Green Black Black Black\nBlack Black Black Blue Black Black Black Orange Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Pink Pink Blue Blue Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Pink Pink Green Green Green Green Green Green\nGreen Red Red Green Green Green Green Green Green Pink Pink Blue Blue Green Green Green Green\nGreen Red Red Green Green Green Green Green Green Green Green Blue Blue Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow\nYellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow\nYellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green\nYellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Yellow Yellow Black Black Black Black Black Black Black Pink Pink Yellow Yellow Black\nBlack Yellow Yellow 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Blue Blue Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Blue Blue Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Pink Pink Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Pink Pink Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Green\nGreen Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Green\nGreen Yellow Yellow Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Green\nGreen Yellow Yellow Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Pink Pink Black Black Black Black Black Black Black Pink Pink Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlue Blue Green Pink Pink Green Green Green Green Green Green Green Green Green Green Green\nBlue Blue Green Pink Pink Green Green Green Green Green Green Green Pink Pink Green Green\nBlue Blue Green Green Green Green Green Green Green Green Green Green Pink Pink Green Green\nBlue Blue Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Orange 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\nBlack Black Black Black Black Black Black Red Red Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Red Red Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Orange Orange Green Green Green Green Green Green Green Green Green Green Green\nGreen Orange Orange Green Green Green Green Green Green Yellow Yellow Green Green Green\nGreen Green Green Green Green Green Green Green Green Yellow Yellow Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Orange Orange Orange Orange Green\nGreen Green Green Green Green Green Green Green Green Orange Orange Orange Orange Green\nGreen Green Green Green Green Green Green Red Red Orange Orange Orange Orange Green\nGreen Green Green Green Green Green Green Red Red Orange Orange Orange Orange Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Purple Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black\nBlack Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black\nBlack Black Black Black Pink Pink Black\nBlack Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns 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 Blue\nBlack Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nPink 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\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\nPink 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBrown 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\nBrown 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\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\nBrown 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\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink 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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPink 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\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\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\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\nPink 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBrown 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\nBrown 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\nBrown 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\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\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\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\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\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBrown 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\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\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\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Pink Pink Orange Orange Yellow Yellow Purple Purple Purple Purple Gray Gray Purple Purple\nGray Gray Pink Pink Orange Orange Yellow Yellow Purple Purple Purple Purple Gray Gray Purple Purple\nOrange Orange Gray Gray Gray Gray Purple Purple Green Green Brown Brown Pink Pink Yellow Yellow\nOrange Orange Gray Gray Gray Gray Purple Purple Green Green Brown Brown Pink Pink Yellow Yellow\nPink Pink Brown Brown Gray Gray Red Red Green Green Orange Orange Pink Pink Yellow Yellow\nPink Pink Brown Brown Gray Gray Red Red Green Green Orange Orange Pink Pink Yellow Yellow\nYellow Yellow Green Green Blue Blue Gray Gray Green Green Yellow Yellow Purple Purple Gray Gray\nYellow Yellow Green Green Blue Blue Gray Gray Green Green Yellow Yellow Purple Purple Gray Gray\nPink Pink Green Green Pink Pink Orange Orange Gray Gray Yellow Yellow Gray Gray Yellow Yellow\nPink Pink Green Green Pink Pink Orange Orange Gray Gray Yellow Yellow Gray Gray Yellow Yellow\nBrown Brown Orange Orange Gray Gray Green Green Yellow Yellow Gray Gray Brown Brown Pink Pink\nBrown Brown Orange Orange Gray Gray Green Green Yellow Yellow Gray Gray Brown Brown Pink Pink\nPurple Purple Orange Orange Purple Purple Orange Orange Gray Gray Orange Orange Gray Gray Blue Blue\nPurple Purple Orange Orange Purple Purple Orange Orange Gray Gray Orange Orange Gray Gray Blue Blue\nGray Gray Brown Brown Orange Orange Blue Blue Brown Brown Purple Purple Purple Purple Gray Gray\nGray Gray Brown Brown Orange Orange Blue Blue Brown Brown Purple Purple Purple Purple Gray Gray\n\nOutput:\nGray Gray Pink Pink Orange Orange Yellow Yellow Purple Purple Purple Purple Gray Gray Purple Purple\nGray Gray Pink Pink Orange Orange Yellow Yellow Purple Purple Purple Purple Gray Gray Purple Purple\nPink Pink Gray Gray Gray Gray Purple Purple Green Green Brown Brown Pink Pink Yellow Yellow\nPink Pink Gray Gray Gray Gray Purple Purple Green Green Brown Brown Pink Pink Yellow Yellow\nOrange Orange Gray Gray Gray Gray Red Red Green Green Orange Orange Pink Pink Yellow Yellow\nOrange Orange Gray Gray Gray Gray Red Red Green Green Orange Orange Pink Pink Yellow Yellow\nYellow Yellow Purple Purple Red Red Gray Gray Green Green Yellow Yellow Purple Purple Gray Gray\nYellow Yellow Purple Purple Red Red Gray Gray Green Green Yellow Yellow Purple Purple Gray Gray\nPurple Purple Green Green Green Green Green Green Gray Gray Yellow Yellow Gray Gray Yellow Yellow\nPurple Purple Green Green Green Green Green Green Gray Gray Yellow Yellow Gray Gray Yellow Yellow\nPurple Purple Brown Brown Orange Orange Yellow Yellow Yellow Yellow Gray Gray Brown Brown Pink Pink\nPurple Purple Brown Brown Orange Orange Yellow Yellow Yellow Yellow Gray Gray Brown Brown Pink Pink\nGray Gray Pink Pink Pink Pink Purple Purple Gray Gray Brown Brown Gray Gray Blue Blue\nGray Gray Pink Pink Pink Pink Purple Purple Gray Gray Brown Brown Gray Gray Blue Blue\nPurple Purple Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Pink Pink Blue Blue Gray Gray\nPurple Purple Yellow Yellow Yellow Yellow Gray Gray Yellow Yellow Pink Pink Blue Blue Gray Gray\n\n\nExample 2\nInput:\nGray Gray Blue Blue Brown Brown Pink Pink Green Green Purple Purple Blue Blue\nGray Gray Blue Blue Brown Brown Pink Pink Green Green Purple Purple Blue Blue\nOrange Orange Gray Gray Gray Gray Orange Orange Yellow Yellow Pink Pink Purple Purple\nOrange Orange Gray Gray Gray Gray Orange Orange Yellow Yellow Pink Pink Purple Purple\nYellow Yellow Red Red Gray Gray Blue Blue Yellow Yellow Orange Orange Red Red\nYellow Yellow Red Red Gray Gray Blue Blue Yellow Yellow Orange Orange Red Red\nBlue Blue Orange Orange Brown Brown Gray Gray Orange Orange Blue Blue Purple Purple\nBlue Blue Orange Orange Brown Brown Gray Gray Orange Orange Blue Blue Purple Purple\nRed Red Brown Brown Purple Purple Brown Brown Gray Gray Green Green Gray Gray\nRed Red Brown Brown Purple Purple Brown Brown Gray Gray Green Green Gray Gray\nGreen Green Blue Blue Purple Purple Pink Pink Blue Blue Gray Gray Pink Pink\nGreen Green Blue Blue Purple Purple Pink Pink Blue Blue Gray Gray Pink Pink\nPink Pink Purple Purple Brown Brown Green Green Purple Purple Pink Pink Gray Gray\nPink Pink Purple Purple Brown Brown Green Green Purple Purple Pink Pink Gray Gray\n\nOutput:\nGray Gray Blue Blue Brown Brown Pink Pink Green Green Purple Purple Blue Blue\nGray Gray Blue Blue Brown Brown Pink Pink Green Green Purple Purple Blue Blue\nBlue Blue Gray Gray Gray Gray Orange Orange Yellow Yellow Pink Pink Purple Purple\nBlue Blue Gray Gray Gray Gray Orange Orange Yellow Yellow Pink Pink Purple Purple\nBrown Brown Gray Gray Gray Gray Blue Blue Yellow Yellow Orange Orange Red Red\nBrown Brown Gray Gray Gray Gray Blue Blue Yellow Yellow Orange Orange Red Red\nPink Pink Orange Orange Blue Blue Gray Gray Orange Orange Blue Blue Purple Purple\nPink Pink Orange Orange Blue Blue Gray Gray Orange Orange Blue Blue Purple Purple\nGreen Green Yellow Yellow Yellow Yellow Orange Orange Gray Gray Green Green Gray Gray\nGreen Green Yellow Yellow Yellow Yellow Orange Orange Gray Gray Green Green Gray Gray\nPurple Purple Pink Pink Orange Orange Blue Blue Green Green Gray Gray Pink Pink\nPurple Purple Pink Pink Orange Orange Blue Blue Green Green Gray Gray Pink Pink\nBlue Blue Purple Purple Red Red Purple Purple Gray Gray Pink Pink Gray Gray\nBlue Blue Purple Purple Red Red Purple Purple Gray Gray Pink Pink Gray Gray\n\n\nExample 3\nInput:\nGray Gray Blue Blue Blue Blue Blue Blue Pink Pink Yellow Yellow Blue Blue\nGray Gray Blue Blue Blue Blue Blue Blue Pink Pink Yellow Yellow Blue Blue\nGray Gray Gray Gray Purple Purple Brown Brown Purple Purple Brown Brown Blue Blue\nGray Gray Gray Gray Purple Purple Brown Brown Purple Purple Brown Brown Blue Blue\nBrown Brown Purple Purple Gray Gray Green Green Orange Orange Pink Pink Purple Purple\nBrown Brown Purple Purple Gray Gray Green Green Orange Orange Pink Pink Purple Purple\nYellow Yellow Pink Pink Orange Orange Gray Gray Gray Gray Blue Blue Orange Orange\nYellow Yellow Pink Pink Orange Orange Gray Gray Gray Gray Blue Blue Orange Orange\nYellow Yellow Orange Orange Green Green Gray Gray Gray Gray Gray Gray Purple Purple\nYellow Yellow Orange Orange Green Green Gray Gray Gray Gray Gray Gray Purple Purple\nRed Red Gray Gray Purple Purple Red Red Purple Purple Gray Gray Red Red\nRed Red Gray Gray Purple Purple Red Red Purple Purple Gray Gray Red Red\nGreen Green Pink Pink Blue Blue Yellow Yellow Brown Brown Gray Gray Gray Gray\nGreen Green Pink Pink Blue Blue Yellow Yellow Brown Brown Gray Gray Gray Gray\n\nOutput:\nGray Gray Blue Blue Blue Blue Blue Blue Pink Pink Yellow Yellow Blue Blue\nGray Gray Blue Blue Blue Blue Blue Blue Pink Pink Yellow Yellow Blue Blue\nBlue Blue Gray Gray Purple Purple Brown Brown Purple Purple Brown Brown Blue Blue\nBlue Blue Gray Gray Purple Purple Brown Brown Purple Purple Brown Brown Blue Blue\nBlue Blue Purple Purple Gray Gray Green Green Orange Orange Pink Pink Purple Purple\nBlue Blue Purple Purple Gray Gray Green Green Orange Orange Pink Pink Purple Purple\nBlue Blue Brown Brown Green Green Gray Gray Gray Gray Blue Blue Orange Orange\nBlue Blue Brown Brown Green Green Gray Gray Gray Gray Blue Blue Orange Orange\nPink Pink Purple Purple Orange Orange Gray Gray Gray Gray Gray Gray Purple Purple\nPink Pink Purple Purple Orange Orange Gray Gray Gray Gray Gray Gray Purple Purple\nYellow Yellow Brown Brown Pink Pink Blue Blue Gray Gray Gray Gray Red Red\nYellow Yellow Brown Brown Pink Pink Blue Blue Gray Gray Gray Gray Red Red\nBlue Blue Blue Blue Purple Purple Orange Orange Purple Purple Red Red Gray Gray\nBlue Blue Blue Blue Purple Purple Orange Orange Purple Purple Red Red Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Pink Pink Pink Pink Gray Gray Orange Orange Green Green Purple Purple Yellow Yellow Blue Blue\nGray Gray Pink Pink Pink Pink Gray Gray Orange Orange Green Green Purple Purple Yellow Yellow Blue Blue\nPink Pink Gray Gray Pink Pink Blue Blue Yellow Yellow Brown Brown Purple Purple Gray Gray Gray Gray\nPink Pink Gray Gray Pink Pink Blue Blue Yellow Yellow Brown Brown Purple Purple Gray Gray Gray Gray\nGray Gray Pink Pink Gray Gray Red Red Purple Purple Orange Orange Brown Brown Gray Gray Purple Purple\nGray Gray Pink Pink Gray Gray Red Red Purple Purple Orange Orange Brown Brown Gray Gray Purple Purple\nGreen Green Gray Gray Brown Brown Gray Gray Green Green Purple Purple Orange Orange Red Red Orange Orange\nGreen Green Gray Gray Brown Brown Gray Gray Green Green Purple Purple Orange Orange Red Red Orange Orange\nPink Pink Pink Pink Yellow Yellow Brown Brown Gray Gray Purple Purple Brown Brown Purple Purple Green Green\nPink Pink Pink Pink Yellow Yellow Brown Brown Gray Gray Purple Purple Brown Brown Purple Purple Green Green\nBrown Brown Brown Brown Blue Blue Red Red Orange Orange Gray Gray Yellow Yellow Blue Blue Purple Purple\nBrown Brown Brown Brown Blue Blue Red Red Orange Orange Gray Gray Yellow Yellow Blue Blue Purple Purple\nGray Gray Brown Brown Orange Orange Purple Purple Red Red Blue Blue Gray Gray Red Red Green Green\nGray Gray Brown Brown Orange Orange Purple Purple Red Red Blue Blue Gray Gray Red Red Green Green\nBrown Brown Orange Orange Orange Orange Orange Orange Pink Pink Green Green Pink Pink Gray Gray Pink Pink\nBrown Brown Orange Orange Orange Orange Orange Orange Pink Pink Green Green Pink Pink Gray Gray Pink Pink\nBlue Blue Pink Pink Pink Pink Blue Blue Green Green Red Red Blue Blue Orange Orange Gray Gray\nBlue Blue Pink Pink Pink Pink Blue Blue Green Green Red Red Blue Blue Orange Orange 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 Pink Pink Pink Pink Gray Gray Orange Orange Green Green Purple Purple Yellow Yellow Blue Blue\nGray Gray Pink Pink Pink Pink Gray Gray Orange Orange Green Green Purple Purple Yellow Yellow Blue Blue\nPink Pink Gray Gray Pink Pink Blue Blue Yellow Yellow Brown Brown Purple Purple Gray Gray Gray Gray\nPink Pink Gray Gray Pink Pink Blue Blue Yellow Yellow Brown Brown Purple Purple Gray Gray Gray Gray\nPink Pink Pink Pink Gray Gray Red Red Purple Purple Orange Orange Brown Brown Gray Gray Purple Purple\nPink Pink Pink Pink Gray Gray Red Red Purple Purple Orange Orange Brown Brown Gray Gray Purple Purple\nGray Gray Blue Blue Red Red Gray Gray Green Green Purple Purple Orange Orange Red Red Orange Orange\nGray Gray Blue Blue Red Red Gray Gray Green Green Purple Purple Orange Orange Red Red Orange Orange\nOrange Orange Yellow Yellow Purple Purple Green Green Gray Gray Purple Purple Brown Brown Purple Purple Green Green\nOrange Orange Yellow Yellow Purple Purple Green Green Gray Gray Purple Purple Brown Brown Purple Purple Green Green\nGreen Green Brown Brown Orange Orange Purple Purple Purple Purple Gray Gray Yellow Yellow Blue Blue Purple Purple\nGreen Green Brown Brown Orange Orange Purple Purple Purple Purple Gray Gray Yellow Yellow Blue Blue Purple Purple\nPurple Purple Purple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow Gray Gray Red Red Green Green\nPurple Purple Purple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow Gray Gray Red Red Green Green\nYellow Yellow Gray Gray Gray Gray Red Red Purple Purple Blue Blue Red Red Gray Gray Pink Pink\nYellow Yellow Gray Gray Gray Gray Red Red Purple Purple Blue Blue Red Red Gray Gray Pink Pink\nBlue Blue Gray Gray Purple Purple Orange Orange Green Green Purple Purple Green Green Pink Pink Gray Gray\nBlue Blue Gray Gray Purple Purple Orange Orange Green Green Purple Purple Green Green Pink Pink Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black Red Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Pink 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 Orange Orange\nBlack Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Yellow Brown Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\n\nOutput:\nBlack Black Black Black Orange Orange\nBlack Black Black Orange Orange Orange\nYellow Yellow Yellow Orange Orange Orange\nYellow Brown Yellow Black Black Black\nYellow Yellow Yellow 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 Yellow Yellow Black Black Black Black Black\nRed Red Red Yellow Yellow Yellow Black Black Black Black\nRed Red Red Black Black Black Purple Black Black Black\nRed Black Red Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Green Green Green Black Green Green Green\nBlack Black Black Green Brown Green Black Green Green Green\nBlack Black Black Green Green Black Black Green Green Green\n\nOutput:\nGreen Green Green\nGreen Brown Green\nGreen Green Black\n\n\nExample 3\nInput:\nBlack Red Red Red Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Yellow Yellow Yellow\nBlack Red Red Red Gray Gray Black Black Yellow Yellow\nGray Gray Black Black Black Gray Black Black Black Yellow\nGray Brown Gray Gray Gray Gray Black Black Black Black\nGray Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Blue 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\n\nOutput:\nBlack Red Red Red Black Black\nBlack Red Black Black Black Black\nBlack Red Red Red Gray Gray\nGray Gray Black Black Black Gray\nGray Brown Gray Gray Gray Gray\nGray Black Black Black Black Blue\nBlack Black Black Black Blue Blue\nBlack Black Black Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black\nRed Red Red Black Black Purple Purple Purple Black Black\nRed Brown Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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\nRed Brown Black\nRed 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 Purple Purple\nBlack Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nPurple Purple Black Black Purple Purple Purple Purple\nPurple Purple Black Black Purple Purple Purple Purple\nPurple Purple Black Black Purple Purple Purple Purple\nPurple Purple Black Black Purple Purple Purple Purple\nPurple Purple Black Black Purple Purple Purple Purple\nPurple Purple Black Black Purple Purple Purple Purple\nPurple Purple Black Black Purple Purple Purple Purple\nPurple Purple Black Black Purple Purple Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Orange Orange\nBlack Black Black Orange Orange\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Gray\nBlack Black Black Gray Gray Gray\nBlack Black Black Black Black Gray\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nGray Gray Black Black Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Black Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Black Black Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Black Black Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Black Black Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Pink Pink\nBlack Black Pink Pink\nBlack Black Black Black\nBlack Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Pink Pink Pink\nBlack Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Red Red Black Black Black\nBlack Black Red Red Black Black Black\nBrown Brown Black Black Black Black Black\nBrown Brown Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue\nBlack Gray Gray Black Blue Blue Blue\nBlack Gray Gray Black Blue Blue Blue\n\nOutput:\nBrown Red Red Red Red Red Black\nBrown Red Red Red Red Red Black\nBrown Red Red Blue Blue Blue Blue\nGray Gray Gray Blue Blue Blue Blue\nGray Gray Gray Blue Blue Blue Blue\nGray Gray Gray Blue Blue Blue Blue\nGray Gray Gray Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black\nBlack Gray Gray Gray Gray Gray Gray Black Black\nBlack Brown Brown Brown Brown Brown Brown Black Black\nBlack Brown Brown Brown Brown Brown Brown Black Black\nBlack Brown Brown Brown Brown Brown Brown Black Black\nBlack Brown Brown Brown Brown Brown Brown Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black\nBlack Black Black Black Black Red Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black\nBlack Brown Brown Brown Black Black Black\nBlack Brown Brown Brown Black Black Black\nBlack Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black\nBlack Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Green Black Black Red Purple\nBlack Orange Black Black Blue Brown Black\nPink Black Black Yellow Brown Black Black\nBlack Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Purple Purple Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Gray Gray Black Black\nGray Black Black Black Black Gray Gray Black Pink\n\nOutput:\nBlack Black Black Black Black Green Black Blue Black\nBlack Black Black Black Orange Black Yellow Black Black\nBlack Black Black Pink Black Black Brown Black Black\nBlack Black Purple Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Brown Black Black Brown Black Black Black Black\nBrown Black Black Brown Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Brown\nBrown Brown Black Black Black Black Black Brown Red\n\n\nExample 3\nInput:\nBlack Blue Blue Blue Black Black\nBlack Blue Blue Blue Black Black\nBlack Blue Blue Blue Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Green Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nGreen Black Black Purple Black Black\nBlack Black Brown Black Black Orange\nBlack Brown Black Black Pink 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\nBrown Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Black Yellow Yellow\nBlack Black Black Black Black Yellow Black Black Brown Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Green Black Black Red\nBlack Black Brown Black Pink Orange Black Black Blue Black\nBlack Brown Black Purple 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\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by 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 Yellow Yellow 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 Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Red Red Blue Blue Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Red Red Blue Blue Black Black Blue Blue Blue Blue\nBlack Black Black Black Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Red Red\nBlack Black Black Black Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Black Black Blue Blue Red Red\nBlack Black Black Black Black Black Blue Blue Red Red Blue Blue Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Red Red Blue Blue Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Red Red Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nYellow Yellow Black Black Black 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 Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Blue Blue 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\nBlue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Green Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\n\nOutput:\nOrange Orange Blue Blue Red Red Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nOrange Orange Blue Blue Red Red Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Red Red Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange 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 Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Green Green Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Green Green Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow 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 Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns 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 Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Orange Orange Black Black Blue Blue Blue Blue Red Red\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Orange Orange Black Black Blue Blue Blue Blue Red Red\nBlack Black Blue Blue Red Red Blue Blue Black Black Orange Orange Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Red Red Blue Blue Black Black Orange Orange Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Red Red Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Red Red Blue Blue Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black 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 Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black 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 Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black 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 Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Blue Blue Blue Green Green Green Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Blue Blue Blue Green Green Green Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Blue Blue Blue Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Green Green Black\nBlack Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Black Black Red Red Black Black\nBlack Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Black\nBlack Red Red Black Black Black Black Black Black\nBlack Red Red Black Black Green Green Black Black\nBlack Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black\nBlack Black Black Green Green Black Black Green Green\nBlack Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Blue Blue\nBlack Green Green Black Black Black Black Blue Blue\nBlack Green Green Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Red Red\nBlack Yellow Yellow Black Black Black Black Red Red\nBlack Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Blue Blue Blue Blue Black Black Black\nBlack Black Blue Blue Blue Blue Black Yellow Yellow\nBlack Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Yellow Yellow Black Green Green Black\nBlack Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black\n\nOutput:\nBlack Black Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Black Blue Blue\nBlack Black Black Blue Blue Black Black Blue Blue\nBlack Black Black Blue Blue Black Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black\nBlack Black Red Red Black Black Red Red Black\nBlack Black Black Red Red Black Red Red Black\nBlack Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Yellow Yellow\nBlack Black Black Black Red Red Black 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 Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black\nBlack Black Green Green Black Black Green Green Black\nBlack Black Black Green Green Black Green Green Black\nBlack Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Blue Blue\nBlack Black Black Black Green Green 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:\nYellow Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Blue Black Black Red Red Red Red Black Blue\nOrange Red Red Red Orange Black Black Orange Black Red Red Red Red Red Black\nBlack Red Red Black Blue Yellow Black Blue Black Red Red Red Red Red Black\nBlack Black Black Black Green Yellow Yellow Black Black Green Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Blue Black Red Red Red Blue\nBlack Yellow Black Black Black Black Red Red Red Red Red Yellow Black Orange Yellow\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Orange Black Yellow\nBlack Black Green Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Orange Green Green Black Orange Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Green Black Blue Green Black Black Black Black Black Orange Orange\n\nOutput:\nYellow Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Blue Black Black Red Red Red Red Black Blue\nOrange Red Red Red Orange Black Black Orange Black Red Red Red Red Red Black\nBlack Red Red Black Blue Yellow Black Blue Black Red Red Red Red Red Black\nBlack Black Black Black Green Yellow Yellow Black Black Green Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Blue Black Red Red Red Blue\nBlack Green Black Black Black Black Red Red Red Red Red Yellow Black Orange Yellow\nBlack Black Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Black Green Black Green\nBlack Black Green Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Orange Green Green Black Orange Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Green Black Blue Green Black Black Black Black Black Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Green Yellow Black Black Black Green Black Black Black Black Black Black\nGreen Black Blue Black Black Black Black Blue Black Black Black Black Black Green Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Yellow Green Black Yellow Black Black Black Black Yellow Black Orange Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Blue Black Black Green Black Orange Orange\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Yellow Black Black\nBlack Black Yellow Orange Black Black Black Orange Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Green Black Black Black Green Black Black Black Black Black Green\nBlack Black Blue Orange Black Orange Black Black Orange Orange Black Red Red Red Black Black\nBlack Black Black Black Green Black Black Black Black Black Blue Red Red Black Black Black\nBlue Black Orange Black Black Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Green Black Green Black Orange Black Black Black Yellow Blue Yellow Black Black Green\n\nOutput:\nBlack Black Black Black Green Green Black Black Black Green Black Black Black Black Black Black\nGreen Black Green Black Black Black Black Green Black Black Black Black Green Green Green Green\nGreen Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Green Green Black Green Black Black Black Green Green Black Green Green Green Green\nBlack Black Green Green Black Black Black Black Black Green Green Black Green Green Green Green\nBlack Black Black Black Black Black Black Green Black Black Black Black Green Green Green Green\nBlack Black Green Green Black Black Black Green Black Black Black Black Black Black Black Green\nBlack Black Green Green Green Green Black Black Green Green Green Green Green Green Black Green\nBlack Black Green Green Green Green Black Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black Green Green Green Green Green Green Black Black\nGreen Black Green Black Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Green Black Green Black Green Black Green Green Green Green Green Green Black Green\n\n\nExample 3\nInput:\nBlack Black Black Blue Black Black Green Black Black Black Black Black Black Black\nBlue Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Green Yellow Black Green Blue Black Black Blue\nBlack Black Green Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Blue Black Black Black Black Black Black\nBlack Orange Black Blue Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Blue Black Black Blue Blue Yellow Black Black Yellow Black Black\nBlack Green Yellow Orange Black Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Orange Black Black Blue Green Black Black Orange Black\nBlack Black Red Red Red Red Black Black Blue Black Black Black Black Black\nYellow Black Red Red Red Red Yellow Black Black Red Red Red Black Black\nBlack Black Red Red Red Red Black Black Orange Red Red Red Black Black\nBlack Black Red Red Red Red Black Black Black Red Red Red Green Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Orange Black\n\nOutput:\nBlack Black Green Green Black Black Green Black Black Black Black Black Black Black\nGreen Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Green Green Black Green Green Black Black Green\nBlack Black Green Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Green Green Black Black Black Black Black Black\nBlack Green Black Blue Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Blue Black Black Blue Blue Yellow Black Black Green Black Black\nBlack Green Yellow Orange Black Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Orange Black Black Blue Green Black Black Green Black\nBlack Black Red Red Red Red Black Black Blue Black Black Black Black Black\nGreen Black Red Red Red Red Yellow Black Black Red Red Red Black Black\nBlack Black Red Red Red Red Black Black Orange Red Red Red Black Black\nBlack Black Red Red Red Red Black Black Black Red Red Red Green Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Orange Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Blue Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Green Black Red Red Red Black Black Black Black\nBlue Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlue Green Black Black Black Green Red Red Black Red Red Green Black Black\nBlack Red Red Red Red Black Red Red Red Red Red Black Black Orange\nBlack Red Red Red Red Black Red Red Red Red Red Blue Black Orange\nBlack Red Red Red Red Black Black Black Green Black Orange Black Black Black\nOrange Red Red Red Red Black Black Red Black Black Black Green Blue Black\nBlue Black Black Black Orange Black Red Red Red Black Black Orange Orange Black\nBlack Yellow Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Green Black Black Green Black Blue Black\nBlack Black Orange Black Black Black Orange Black Black Black Black Yellow Black Blue\nBlack Black Black Red Red Red Black Black Black Black Black Black Blue Black\nBlack Black Black Red Red Red Black Black Black Green Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Green Black Black Yellow Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Green Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Green Black Red Red Red Black Black Black Black\nBlue Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlue Green Black Black Black Green Red Red Black Red Red Green Black Black\nBlack Red Red Red Red Black Red Red Red Red Red Black Black Green\nBlack Red Red Red Red Black Red Red Red Red Red Blue Black Green\nBlack Red Red Red Red Black Black Black Green Black Orange Black Black Black\nOrange Red Red Red Red Black Black Red Black Black Black Green Blue Black\nBlue Black Black Black Orange Black Red Red Red Black Black Orange Orange Black\nBlack Yellow Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Green Black Black Green Green Green Green\nBlack Black Orange Black Black Black Orange Black Black Black Green Green Green Green\nBlack Black Black Red Red Red Black Black Black Black Green Green Green Green\nBlack Black Black Red Red Red Black Black Black Green Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Green Black Black Green Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Blue Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlue 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\n\nOutput:\nBlack Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Blue Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Black\nBlue Black Black Black Black Black Black Black Red Red Red Red Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\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 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 Red Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Green Black Black Black\nBlue Black 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 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 Red Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Pink Green Black Black Black\nBlue 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 Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Green Black Black Black\nBlack Yellow Yellow Yellow 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 Green 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Green Black Black Black\nRed Red Red 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\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink 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 Pink Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Blue Orange\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Blue Orange\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Green Green Green Green\nBlack 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 Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green\nBlack Black Black Black Green Green Green Green Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue 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 Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Green Green Green Green Black Black\nBlack Black Green Green Green Green Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue 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\nGreen Green Green Green Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Green Green Green Green\nBlack Black Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Green Green Green Green\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black Blue Blue Blue Blue\nBlack Black Green Green Green Green Black Black Black Black Green Green Green Green Black Black Blue Blue Blue Blue\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Green Green Green Green Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\n\nOutput:\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nBlue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\nGray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray Blue Blue Blue Gray Gray Gray\n\n\nExample 2\nInput:\nPink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink\nPink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink\nPink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray\nPink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink\nPink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink\nPink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray\nPink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink\nPink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink\nPink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray\n\nOutput:\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray\nPink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink\nPink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink\nPink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray\nPink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink\nPink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink\nPink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray\nGray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray\nPink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink\nPink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink\nPink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray Gray Pink Pink Pink\n\n\nExample 3\nInput:\nPurple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple\n\nOutput:\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple\nBrown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple\nPurple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown Purple Purple Purple Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown 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```\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nBrown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black\nBlack Black Black Brown Yellow Brown Black Black\nBlack Black Black Black Yellow 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:\nBrown Black Brown Black Brown Black Brown Black\nBlack Brown Black Brown Black Brown Black Brown\nBrown Black Brown Black Brown Black Brown Black\nBlack Brown Black Brown Black Brown Black Brown\nBrown Black Brown Black Brown Black Brown Black\nBlack Brown Black Brown Black Brown Black Brown\nBrown Black Brown Black Brown Black Brown Black\nBlack Brown Black Brown Black Brown Black Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Green Orange Green Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Green Black Green Black Green Black\nGreen Black Green Black Green Black Green\nBlack Green Black Green Black Green Black\nGreen Black Green Black Green Black Green\nBlack Green Black Green Black Green Black\nGreen Black Green Black Green Black Green\nBlack Green Black Green Black Green Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black\nBlack Black Black Gray Pink Gray Black\nBlack Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Gray Black Gray Black Gray Black\nGray Black Gray Black Gray Black Gray\nBlack Gray Black Gray Black Gray Black\nGray Black Gray Black Gray Black Gray\nBlack Gray Black Gray Black Gray Black\nGray Black Gray Black Gray Black Gray\nBlack Gray Black Gray Black Gray Black\nGray Black Gray Black Gray Black Gray\nBlack Gray Black Gray Black 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 Brown Black Black Black Black\nBlack Black Black Red Brown Red Black Black Black\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 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 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 Black Red Black Red Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Orange Orange Orange Orange Purple Purple Purple Purple Black Black Black Black Gray Gray Gray Gray Purple Purple Purple Purple Brown Brown Brown Brown\nBlack Black Black Black Orange Orange Orange Orange Purple Purple Purple Purple Black Black Black Black Gray Gray Gray Gray Purple Purple Purple Purple Brown Brown Brown Brown\nBlack Black Black Black Orange Orange Orange Orange Purple Purple Purple Purple Black Black Black Black Gray Gray Gray Gray Purple Purple Purple Purple Brown Brown Brown Brown\nBlack Black Black Black Orange Orange Orange Orange Purple Purple Purple Purple Black Black Black Black Gray Gray Gray Gray Purple Purple Purple Purple Brown Brown Brown Brown\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Green Green 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black 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 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 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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Brown Brown Brown Brown Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Brown Brown Brown Brown Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Brown Brown Brown Brown Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Brown Brown Brown Brown Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Green Green 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black 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 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 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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nPurple Purple Purple Purple Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Blue Blue Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Blue Blue Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Blue Blue Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Blue Blue Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nPurple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Gray Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Green Green Green Green Blue Blue Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Green Green Green Green Blue Blue Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Green Green Green Green Blue Blue Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Green Green Green Green Blue Blue Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Gray Gray Gray Gray 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlue Blue Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue 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 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 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 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 Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Black Black Black Black Pink Pink Pink Pink Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns 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 Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlue Blue Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Pink Pink Pink Pink Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Yellow Yellow Yellow Yellow Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Pink Pink Pink Pink Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Yellow Yellow Black Black\nBlack Black Black Black Pink Pink Pink Pink Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Yellow Yellow Black Black\nBlack Black Black Black Pink Pink Pink Pink Yellow Yellow Black Black\nBlack Black Black Black Pink Pink Pink Pink Yellow Yellow Black Black\nBlack Black Black Black Pink Pink Pink Pink Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue 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 Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\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 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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Black Black\nBlack Black Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Red Red Red Red Green Green Black Black Black Black\nBlack Black Black Black Red Red Red Red 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\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 Yellow Yellow Red Red Red Red Green Green Black Black Black Black\nBlack Black Yellow Yellow Red Red Red Red Green Green Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Black Black\nBlack Black Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Black Black\nBlack Black Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Black Black\nBlack Black Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Black Black\nBlack Black Yellow Yellow Yellow Yellow Red Red Green Green Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange Orange Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Gray Gray Black Black Green Green Black Black Black Black\nBlack Black Orange Orange Gray Gray Black Black Green Green Black Black Black Black\nBlack Black Orange Orange Gray Gray Black Black Green Green Black Black Black Black\nBlack Black Orange Orange Gray Gray Black Black 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns 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 Orange Orange Gray Gray Black Black Green Green Black Black Black Black\nBlack Black Orange Orange Gray Gray Black Black Green Green Black Black Black Black\nBlack Black Orange Orange Gray Gray Black Black Green Green Black Black Black Black\nBlack Black Orange Orange Gray Gray Black Black Green Green Black Black Black Black\nBlack Black Orange Orange Gray Gray Black Black Green Green Black Black Black Black\nBlack Black Orange Orange Gray Gray Black Black Green Green Black Black Black Black\nBlack Black Orange Orange Gray Gray Black Black Green Green Black Black Black Black\nBlack Black Orange Orange Gray Gray Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Pink Pink Orange Orange Pink Pink Black Black Black Black\nBlack Black Pink Orange Orange Orange Orange Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Orange Pink Black Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange 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 Pink Pink Black Orange Orange\nBlack Orange Black Pink Orange Black Black Orange\nBlack Orange Orange Orange Orange Pink Pink Orange\nBlack Orange Orange Orange Orange Pink Orange Orange\nBlack Orange Black Pink Orange Black Black Black\nBlack Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Orange Yellow Black Yellow Orange Black Black Black\nBlack Black Orange Yellow Yellow Yellow Orange Black Black Black\nBlack Black 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\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black\nYellow Yellow Orange Black Black Black Black\nBlack Yellow Orange Black Black Black Black\nYellow Yellow Orange Black Black Black Black\nOrange Orange Orange 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 Gray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Gray Brown Black Black Black Black\nGray Gray Brown Black Black Black Black\nGray Gray Brown Black Black Black Black\nGray Gray Brown Black Black Black Black\nBlack Gray Brown Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Gray Pink Pink Gray\nBlack Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Pink Gray Gray Pink\nBlack Black Black Black Black Pink Pink Gray Gray\nBlack Black Black Black Black Gray Pink Gray Pink\nBlack Black Black Black Black Gray Pink Gray Pink\nBlack Black Black Black Black Pink Pink Gray Gray\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Pink Pink Gray Pink Pink Gray Black\nPink Gray Pink Gray Gray Gray Gray Gray Black\nPink Gray Pink Gray Pink Pink Pink Pink Black\nGray Gray Pink Pink Pink Gray Gray Pink Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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:\nPurple Purple Pink Pink Orange Orange Yellow Yellow Purple Purple Purple Purple Gray Gray Purple Purple Purple Purple Orange Orange\nPurple Purple Pink Pink Orange Orange Yellow Yellow Purple Purple Purple Purple Gray Gray Purple Purple Purple Purple Orange Orange\nOrange Orange Orange Orange Gray Gray Purple Purple Green Green Brown Brown Pink Pink Yellow Yellow Brown Brown Red Red\nOrange Orange Orange Orange Gray Gray Purple Purple Green Green Brown Brown Pink Pink Yellow Yellow Brown Brown Red Red\nPink Pink Brown Brown Orange Orange Red Red Green Green Orange Orange Pink Pink Yellow Yellow Purple Purple Brown Brown\nPink Pink Brown Brown Orange Orange Red Red Green Green Orange Orange Pink Pink Yellow Yellow Purple Purple Brown Brown\nYellow Yellow Green Green Blue Blue Orange Orange Green Green Yellow Yellow Purple Purple Gray Gray Blue Blue Red Red\nYellow Yellow Green Green Blue Blue Orange Orange Green Green Yellow Yellow Purple Purple Gray Gray Blue Blue Red Red\nPink Pink Green Green Pink Pink Orange Orange Purple Purple Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Brown Brown\nPink Pink Green Green Pink Pink Orange Orange Purple Purple Yellow Yellow Gray Gray Yellow Yellow Yellow Yellow Brown Brown\nBrown Brown Orange Orange Gray Gray Green Green Yellow Yellow Green Green Brown Brown Pink Pink Red Red Red Red\nBrown Brown Orange Orange Gray Gray Green Green Yellow Yellow Green Green Brown Brown Pink Pink Red Red Red Red\nPurple Purple Orange Orange Purple Purple Orange Orange Gray Gray Orange Orange Blue Blue Blue Blue Gray Gray Purple Purple\nPurple Purple Orange Orange Purple Purple Orange Orange Gray Gray Orange Orange Blue Blue Blue Blue Gray Gray Purple Purple\nGray Gray Brown Brown Orange Orange Blue Blue Brown Brown Purple Purple Purple Purple Green Green Pink Pink Purple Purple\nGray Gray Brown Brown Orange Orange Blue Blue Brown Brown Purple Purple Purple Purple Green Green Pink Pink Purple Purple\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue\nBlue Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow\nBlue Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nOrange Orange Brown Brown Pink Pink Orange Orange Pink Pink Pink Pink Pink Pink\nOrange Orange Brown Brown Pink Pink Orange Orange Pink Pink Pink Pink Pink Pink\nYellow Yellow Blue Blue Orange Orange Yellow Yellow Blue Blue Orange Orange Orange Orange\nYellow Yellow Blue Blue Orange Orange Yellow Yellow Blue Blue Orange Orange Orange Orange\nBlue Blue Purple Purple Blue Blue Blue Blue Purple Purple Red Red Orange Orange\nBlue Blue Purple Purple Blue Blue Blue Blue Purple Purple Red Red Orange Orange\nRed Red Brown Brown Orange Orange Purple Purple Red Red Pink Pink Brown Brown\nRed Red Brown Brown Orange Orange Purple Purple Red Red Pink Pink Brown Brown\nGreen Green Gray Gray Brown Brown Purple Purple Purple Purple Orange Orange Brown Brown\nGreen Green Gray Gray Brown Brown Purple Purple Purple Purple Orange Orange Brown Brown\nPink Pink Brown Brown Pink Pink Pink Pink Gray Gray Yellow Yellow Purple Purple\nPink Pink Brown Brown Pink Pink Pink Pink Gray Gray Yellow Yellow Purple Purple\nBlue Blue Brown Brown Green Green Orange Orange Pink Pink Brown Brown Purple Purple\nBlue Blue Brown Brown Green Green Orange Orange Pink Pink Brown Brown Purple Purple\nGray Gray Purple Purple Green Green Blue Blue Gray Gray Gray Gray Purple Purple\nGray Gray Purple Purple Green Green Blue Blue Gray Gray Gray Gray Purple Purple\nRed Red Purple Purple Yellow Yellow Green Green Yellow Yellow Gray Gray Red Red\nRed Red Purple Purple Yellow Yellow Green Green Yellow Yellow Gray Gray Red Red\nOrange Orange Brown Brown Yellow Yellow Red Red Purple Purple Orange Orange Yellow Yellow\nOrange Orange Brown Brown Yellow Yellow Red Red Purple Purple Orange Orange Yellow Yellow\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 Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue\nYellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow\nBlue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue\nBlue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue\nYellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue\nYellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow 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\nYellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow\nBlue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue\nBlue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue\nYellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow\nYellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow\n\n\nExample 3\nInput:\nBrown Brown Orange Orange Blue Blue Purple Purple Blue Blue Red Red Yellow Yellow\nBrown Brown Orange Orange Blue Blue Purple Purple Blue Blue Red Red Yellow Yellow\nYellow Yellow Gray Gray Blue Blue Orange Orange Gray Gray Brown Brown Blue Blue\nYellow Yellow Gray Gray Blue Blue Orange Orange Gray Gray Brown Brown Blue Blue\nYellow Yellow Pink Pink Brown Brown Gray Gray Green Green Green Green Orange Orange\nYellow Yellow Pink Pink Brown Brown Gray Gray Green Green Green Green Orange Orange\nRed Red Blue Blue Green Green Pink Pink Gray Gray Blue Blue Yellow Yellow\nRed Red Blue Blue Green Green Pink Pink Gray Gray Blue Blue Yellow Yellow\nGreen Green Purple Purple Orange Orange Purple Purple Blue Blue Green Green Brown Brown\nGreen Green Purple Purple Orange Orange Purple Purple Blue Blue Green Green Brown Brown\nBlue Blue Yellow Yellow Gray Gray Brown Brown Blue Blue Yellow Yellow Brown Brown\nBlue Blue Yellow Yellow Gray Gray Brown Brown Blue Blue Yellow Yellow Brown Brown\nOrange Orange Orange Orange Red Red Yellow Yellow Purple Purple Green Green Pink Pink\nOrange Orange Orange Orange Red Red Yellow Yellow Purple Purple Green Green Pink Pink\nPurple Purple Green Green Yellow Yellow Brown Brown Orange Orange Blue Blue Purple Purple\nPurple Purple Green Green Yellow Yellow Brown Brown Orange Orange Blue Blue Purple Purple\nPink Pink Purple Purple Pink Pink Pink Pink Purple Purple Yellow Yellow Blue Blue\nPink Pink Purple Purple Pink Pink Pink Pink Purple Purple Yellow Yellow Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue\nYellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue\nBlue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Yellow Yellow 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:\nPink Pink Gray Gray Pink Pink Blue Blue Yellow Yellow Brown Brown Purple Purple Gray Gray Gray Gray\nPink Pink Gray Gray Pink Pink Blue Blue Yellow Yellow Brown Brown Purple Purple Gray Gray Gray Gray\nGray Gray Pink Pink Purple Purple Red Red Purple Purple Orange Orange Brown Brown Gray Gray Purple Purple\nGray Gray Pink Pink Purple Purple Red Red Purple Purple Orange Orange Brown Brown Gray Gray Purple Purple\nGreen Green Gray Gray Brown Brown Pink Pink Green Green Purple Purple Orange Orange Red Red Orange Orange\nGreen Green Gray Gray Brown Brown Pink Pink Green Green Purple Purple Orange Orange Red Red Orange Orange\nPink Pink Pink Pink Yellow Yellow Brown Brown Gray Gray Purple Purple Brown Brown Purple Purple Green Green\nPink Pink Pink Pink Yellow Yellow Brown Brown Gray Gray Purple Purple Brown Brown Purple Purple Green Green\nBrown Brown Brown Brown Blue Blue Red Red Orange Orange Yellow Yellow Yellow Yellow Blue Blue Purple Purple\nBrown Brown Brown Brown Blue Blue Red Red Orange Orange Yellow Yellow Yellow Yellow Blue Blue Purple Purple\nGray Gray Brown Brown Orange Orange Purple Purple Red Red Blue Blue Blue Blue Red Red Green Green\nGray Gray Brown Brown Orange Orange Purple Purple Red Red Blue Blue Blue Blue Red Red Green Green\nBrown Brown Orange Orange Orange Orange Orange Orange Pink Pink Green Green Pink Pink Yellow Yellow Pink Pink\nBrown Brown Orange Orange Orange Orange Orange Orange Pink Pink Green Green Pink Pink Yellow Yellow Pink Pink\nBlue Blue Pink Pink Pink Pink Blue Blue Green Green Red Red Blue Blue Orange Orange Red Red\nBlue Blue Pink Pink Pink Pink Blue Blue Green Green Red Red Blue Blue Orange Orange Red Red\nPink Pink Pink Pink Gray Gray Orange Orange Green Green Purple Purple Yellow Yellow Blue Blue Yellow Yellow\nPink Pink Pink Pink Gray Gray Orange Orange Green Green Purple Purple Yellow Yellow Blue Blue 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```\nBlue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Blue Blue Yellow Yellow Blue Blue\nBlue Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Blue Blue Yellow Yellow Blue Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue\nBlue Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Blue Blue Yellow Yellow Blue Blue\nBlue Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow Blue Blue Blue Blue Yellow Yellow Blue Blue\nBlue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow\nBlue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red\nRed Red Red Red Red Red Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\n\nOutput:\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Green Green Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\nRed Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Pink Gray Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue\n\nOutput:\nOrange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Red Red Red Red Red Red Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nOrange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Red Red Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Pink Black\nBlack Yellow Black Pink Pink Pink\nYellow Yellow Yellow Black Pink Black\nBlack Yellow Pink Pink Black Black\nBlack Black Pink Pink Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Yellow Black Black Black Black\nYellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black\nBlack Yellow Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nRed Red Black Black Black Black\nRed Red Red Black Black Black\nRed Red Red Pink Pink Pink\nBlack Yellow Black Black Pink Pink\nBlack Black Black Pink Pink Pink\nBlack Pink Black Black Black Black\n\nOutput:\nRed Red Black Black Black Black\nRed Red Red Black Black Black\nRed Red Red Black Black Black\nRed Red Red Black Black Black\nRed Red Red Black Black Black\nRed Red Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Brown Brown Brown\nBlack Black Black Brown Brown Brown\nBlack Black Black Brown Black Brown\nBlack Black Orange Red Red Black\nBlack Black Black Red Red Black\nGreen Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Red Orange Red Red Black\nBlack Red Red Red Red Black\nGreen Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Gray Gray Black\nBlack Black Black Gray Gray Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nPink Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nPink Black Black Gray Gray Black\nBlack Black Black Gray Gray Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Black Black Red Red Blue Blue Blue Blue Green Green Red Red Black Black Black Black Black Black\nBlue Blue Black Black Red Red Blue Blue Blue Blue Green Green Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Green Green Red Red Gray Gray Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Blue Blue Green Green Red Red Gray Gray Blue Blue Red Red Black Black Black Black\nGreen Green Black Black Black Black Blue Blue Black Black Gray Gray Black Black Red Red Green Green Red Red\nGreen Green Black Black Black Black Blue Blue Black Black Gray Gray Black Black Red Red Green Green Red Red\nRed Red Blue Blue Blue Blue Blue Blue Black Black Red Red Red Red Black Black Red Red Blue Blue\nRed Red Blue Blue Blue Blue Blue Blue Black Black Red Red Red Red Black Black Red Red Blue Blue\nBlack Black Red Red Gray Gray Black Black Green Green Black Black Blue Blue Red Red Blue Blue Black Black\nBlack Black Red Red Gray Gray Black Black Green Green Black Black Blue Blue Red Red Blue Blue Black Black\nGray Gray Green Green Green Green Green Green Gray Gray Black Black Black Black Blue Blue Black Black Black Black\nGray Gray Green Green Green Green Green Green Gray Gray Black Black Black Black Blue Blue Black Black Black Black\nGray Gray Green Green Red Red Black Black Black Black Red Red Green Green Blue Blue Black Black Black Black\nGray Gray Green Green Red Red Black Black Black Black Red Red Green Green Blue Blue Black Black Black Black\nGreen Green Black Black Black Black Black Black Gray Gray Green Green Blue Blue Gray Gray Green Green Black Black\nGreen Green Black Black Black Black Black Black Gray Gray Green Green Blue Blue Gray Gray Green Green Black Black\nBlack Black Black Black Blue Blue Gray Gray Black Black Blue Blue Blue Blue Blue Blue Black Black Green Green\nBlack Black Black Black Blue Blue Gray Gray Black Black Blue Blue Blue Blue Blue Blue Black Black Green Green\nGreen Green Green Green Gray Gray Green Green Black Black Black Black Red Red Green Green Black Black Green Green\nGreen Green Green Green Gray Gray Green Green Black Black Black Black Red Red Green Green Black Black Green Green\n\nOutput:\nBlue Blue Black Black Red Red Blue Blue Blue Blue Green Green Red Red Black Black Black Black Black Black\nBlue Blue Black Black Red Red Blue Blue Blue Blue Green Green Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Green Green Red Red Black Black Blue Blue Red Red Black Black Black Black\nBlack Black Black Black Blue Blue Green Green Red Red Black Black Blue Blue Red Red Black Black Black Black\nGreen Green Black Black Black Black Blue Blue Black Black Black Black Black Black Red Red Green Green Red Red\nGreen Green Black Black Black Black Blue Blue Black Black Black Black Black Black Red Red Green Green Red Red\nRed Red Blue Blue Blue Blue Blue Blue Black Black Red Red Red Red Black Black Red Red Blue Blue\nRed Red Blue Blue Blue Blue Blue Blue Black Black Red Red Red Red Black Black Red Red Blue Blue\nBlack Black Red Red Black Black Black Black Green Green Black Black Blue Blue Red Red Blue Blue Black Black\nBlack Black Red Red Black Black Black Black Green Green Black Black Blue Blue Red Red Blue Blue Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Green Green Red Red Black Black Black Black Red Red Green Green Blue Blue Black Black Black Black\nBlack Black Green Green Red Red Black Black Black Black Red Red Green Green Blue Blue Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Green Green Blue Blue Black Black Green Green Black Black\nGreen Green Black Black Black Black Black Black Black Black Green Green Blue Blue Black Black Green Green Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Green Green\nBlack Black Black Black Blue Blue Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Green Green\nGreen Green Green Green Black Black Green Green Black Black Black Black Red Red Green Green Black Black Green Green\nGreen Green Green Green Black Black Green Green Black Black Black Black Red Red Green Green Black Black Green Green\n\n\nExample 2\nInput:\nPurple Purple Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Purple Purple Black Black Black Black Red Red Black Black Brown Brown Blue Blue Black Black\nGray Gray Black Black Purple Purple Black Black Black Black Red Red Black Black Brown Brown Blue Blue Black Black\nRed Red Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Red Red Gray Gray\nRed Red Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Red Red Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black\nRed Red Red Red Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Brown Brown\nBlack Black Brown Brown Gray Gray Red Red Blue Blue Black Black Black Black Black Black Brown Brown Blue Blue\nBlack Black Brown Brown Gray Gray Red Red Blue Blue Black Black Black Black Black Black Brown Brown Blue Blue\nBlack Black Black Black Black Black Purple Purple Black Black Red Red Black Black Brown Brown Black Black Red Red\nBlack Black Black Black Black Black Purple Purple Black Black Red Red Black Black Brown Brown Black Black Red Red\nBlack Black Black Black Black Black Black Black Brown Brown Gray Gray Brown Brown Red Red Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Gray Gray Brown Brown Red Red Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Purple Purple Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Purple Purple Brown Brown\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\nGray Gray Black Black Black Black Black Black Black Black Red Red Black Black Brown Brown Blue Blue Black Black\nGray Gray Black Black Black Black Black Black Black Black Red Red Black Black Brown Brown Blue Blue Black Black\nRed Red Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Red Red Gray Gray\nRed Red Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Red Red Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Blue Blue Black Black\nRed Red Red Red Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Red Red Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Brown Brown\nBlack Black Brown Brown Gray Gray Red Red Blue Blue Black Black Black Black Black Black Brown Brown Blue Blue\nBlack Black Brown Brown Gray Gray Red Red Blue Blue Black Black Black Black Black Black Brown Brown Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Brown Brown Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Brown Brown Black Black Red Red\nBlack Black Black Black Black Black Black Black Brown Brown Gray Gray Brown Brown Red Red Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Gray Gray Brown Brown Red Red Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Brown Brown\n\n\nExample 3\nInput:\nRed Red Brown Brown Black Black Purple Purple Black Black Purple Purple Black Black Red Red Red Red Purple Purple\nRed Red Brown Brown Black Black Purple Purple Black Black Purple Purple Black Black Red Red Red Red Purple Purple\nRed Red Pink Pink Purple Purple Red Red Black Black Red Red Red Red Black Black Black Black Green Green\nRed Red Pink Pink Purple Purple Red Red Black Black Red Red Red Red Black Black Black Black Green Green\nPurple Purple Black Black Black Black Green Green Red Red Purple Purple Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Black Black Green Green Red Red Purple Purple Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Red Red Brown Brown Brown Brown Purple Purple Green Green Green Green Black Black Purple Purple Black Black\nBlack Black Red Red Brown Brown Brown Brown Purple Purple Green Green Green Green Black Black Purple Purple Black Black\nRed Red Brown Brown Black Black Red Red Purple Purple Pink Pink Black Black Black Black Black Black Purple Purple\nRed Red Brown Brown Black Black Red Red Purple Purple Pink Pink Black Black Black Black Black Black Purple Purple\nBlack Black Green Green Pink Pink Green Green Purple Purple Green Green Black Black Black Black Black Black Red Red\nBlack Black Green Green Pink Pink Green Green Purple Purple Green Green Black Black Black Black Black Black Red Red\nRed Red Green Green Black Black Purple Purple Green Green Green Green Black Black Brown Brown Green Green Black Black\nRed Red Green Green Black Black Purple Purple Green Green Green Green Black Black Brown Brown Green Green Black Black\nRed Red Black Black Black Black Red Red Black Black Purple Purple Black Black Black Black Black Black Brown Brown\nRed Red Black Black Black Black Red Red Black Black Purple Purple Black Black Black Black Black Black Brown Brown\nGreen Green Purple Purple Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black Red Red Black Black\nGreen Green Purple Purple Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black Red Red Black Black\nBlack Black Black Black Green Green Black Black Black Black Red Red Pink Pink Red Red Black Black Green Green\nBlack Black Black Black Green Green Black Black Black Black Red Red Pink Pink Red Red Black Black Green Green\n\nOutput:\nRed Red Black Black Black Black Purple Purple Black Black Purple Purple Black Black Red Red Red Red Purple Purple\nRed Red Black Black Black Black Purple Purple Black Black Purple Purple Black Black Red Red Red Red Purple Purple\nRed Red Pink Pink Purple Purple Red Red Black Black Red Red Red Red Black Black Black Black Green Green\nRed Red Pink Pink Purple Purple Red Red Black Black Red Red Red Red Black Black Black Black Green Green\nPurple Purple Black Black Black Black Green Green Red Red Purple Purple Black Black Purple Purple Purple Purple Purple Purple\nPurple Purple Black Black Black Black Green Green Red Red Purple Purple Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Red Red Black Black Black Black Purple Purple Green Green Green Green Black Black Purple Purple Black Black\nBlack Black Red Red Black Black Black Black Purple Purple Green Green Green Green Black Black Purple Purple Black Black\nRed Red Black Black Black Black Red Red Purple Purple Pink Pink Black Black Black Black Black Black Purple Purple\nRed Red Black Black Black Black Red Red Purple Purple Pink Pink Black Black Black Black Black Black Purple Purple\nBlack Black Green Green Pink Pink Green Green Purple Purple Green Green Black Black Black Black Black Black Red Red\nBlack Black Green Green Pink Pink Green Green Purple Purple Green Green Black Black Black Black Black Black Red Red\nRed Red Green Green Black Black Purple Purple Green Green Green Green Black Black Black Black Green Green Black Black\nRed Red Green Green Black Black Purple Purple Green Green Green Green Black Black Black Black Green Green Black Black\nRed Red Black Black Black Black Red Red Black Black Purple Purple Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Red Red Black Black Purple Purple Black Black Black Black Black Black Black Black\nGreen Green Purple Purple Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black Red Red Black Black\nGreen Green Purple Purple Pink Pink Black Black Black Black Pink Pink Pink Pink Black Black Red Red Black Black\nBlack Black Black Black Green Green Black Black Black Black Red Red Pink Pink Red Red Black Black Green Green\nBlack Black Black Black Green Green Black Black Black Black Red Red Pink Pink Red Red Black Black Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Green Green Black Black Yellow Yellow Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black Yellow Yellow Green Green Green Green Green Green Black Black\nBlack Black Black Black Orange Orange Yellow Yellow Yellow Yellow Orange Orange Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Orange Orange Yellow Yellow Yellow Yellow Orange Orange Black Black Yellow Yellow Black Black Black Black\nGreen Green Black Black Black Black Black Black Yellow Yellow Black Black Orange Orange Yellow Yellow Black Black Black Black\nGreen Green Black Black Black Black Black Black Yellow Yellow Black Black Orange Orange Yellow Yellow Black Black Black Black\nBlack Black Black Black Green Green Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Orange Orange Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange Green Green Black Black Black Black Black Black Black Black Green Green\nBlack Black Orange Orange Orange Orange Orange Orange Green Green Black Black Black Black Black Black Black Black Green Green\nBlack Black Green Green Black Black Green Green Green Green Orange Orange Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Green Green Black Black Green Green Green Green Orange Orange Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Orange Orange Green Green Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Orange Orange 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 Green Green Black Black Yellow Yellow Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black Yellow Yellow Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nGreen Green Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nGreen Green Black Black Black Black Black Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Green Green Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Yellow Yellow Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Green Green\nBlack Black Green Green Black Black Green Green Green Green Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Green Green Black Black Green Green Green Green Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Green Green Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black 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:\nBlue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Green Green Green Green\nBlue Blue Blue Blue Green Green Green Green\nPink Pink Pink Pink Orange Orange Orange Orange\nPink Pink Pink Pink Orange Orange Orange Orange\nPink Pink Pink Pink Orange Orange Orange Orange\nPink Pink Pink Pink Orange Orange Orange Orange\n\nOutput:\nRed Red Red Red Green Green Green Green\nRed Red Red Red Green Green Green Green\nRed Red Red Red Green Green Green Green\nRed Red Red Red Green Green Green Green\nYellow Yellow Yellow Yellow Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Purple Purple Purple Purple\n\n\nExample 2\nInput:\nGreen Green Green Green Blue Blue Blue Blue\nGreen Green Green Green Blue Blue Blue Blue\nGreen Green Green Green Blue Blue Blue Blue\nGreen Green Green Green Blue Blue Blue Blue\nOrange Orange Orange Orange Pink Pink Pink Pink\nOrange Orange Orange Orange Pink Pink Pink Pink\nOrange Orange Orange Orange Pink Pink Pink Pink\nOrange Orange Orange Orange Pink Pink Pink Pink\n\nOutput:\nGreen Green Green Green Red Red Red Red\nGreen Green Green Green Red Red Red Red\nGreen Green Green Green Red Red Red Red\nGreen Green Green Green Red Red Red Red\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Blue Blue Blue Blue\nOrange Orange Orange Orange Blue Blue Blue Blue\nOrange Orange Orange Orange Blue Blue Blue Blue\nOrange Orange Orange Orange Blue Blue Blue Blue\nGreen Green Green Green Pink Pink Pink Pink\nGreen Green Green Green Pink Pink Pink Pink\nGreen Green Green Green Pink Pink Pink Pink\nGreen Green Green Green Pink Pink Pink Pink\n\nOutput:\nPurple Purple Purple Purple Red Red Red Red\nPurple Purple Purple Purple Red Red Red Red\nPurple Purple Purple Purple Red Red Red Red\nPurple Purple Purple Purple Red Red Red Red\nGreen Green Green Green Yellow Yellow Yellow Yellow\nGreen Green Green Green Yellow Yellow Yellow Yellow\nGreen Green Green Green Yellow Yellow Yellow Yellow\nGreen Green Green Green Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Orange Orange Orange Orange\nPink Pink Pink Pink Orange Orange Orange Orange\nPink Pink Pink Pink Orange Orange Orange Orange\nPink Pink Pink Pink Orange Orange Orange Orange\nGreen Green Green Green Blue Blue Blue Blue\nGreen Green Green Green Blue Blue Blue Blue\nGreen Green Green Green Blue Blue Blue Blue\nGreen Green Green Green Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Purple Purple Purple Purple\nGreen Green Green Green Red Red Red Red\nGreen Green Green Green Red Red Red Red\nGreen Green Green Green Red Red Red Red\nGreen Green Green Green 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:\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow 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\nYellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black\nBlack Black Black Black Brown Brown Black\nBlack Black Black Black Brown Brown Black\nBlack Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black\nBrown Brown Brown Brown 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\nBlack Black Black Green Green Black\nBlack Black Black Green Green Black\nBlack Black Black Green Green Black\nBlack Black Black Green Green Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nGreen Green Green Green Black Black\nGreen Green Green Green Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black\nPurple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black 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 Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Purple Black Black\nBlack Yellow Black Black Black Black Black Black Black Black\nYellow 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 Yellow\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Purple Black Black Black Yellow\nBlack Black Black Black Purple Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Black 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 Yellow 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 Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Blue Black Black Black Purple Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Yellow Yellow Yellow Yellow Black Yellow Red Red Red\nRed Red Black Yellow Yellow Yellow Yellow Yellow Red Red Red\nRed Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nRed Red Yellow Yellow Yellow Yellow Yellow Yellow Red Red Red\nRed Red Yellow Yellow Yellow Yellow Yellow Black Red Red Red\nRed Red Yellow Black Yellow Yellow Yellow Yellow Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Brown Brown Brown Brown Green Green Green\nGreen Green Green Brown Brown Brown Brown Green Green Green\nGreen Green Green Brown Brown Brown Brown Green Green Green\nGreen Green Green Brown Brown Brown Brown Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Black Gray Gray Gray Black Black Red Red\nRed Black Gray Gray Gray Gray Gray Red Red\nRed Gray Gray Gray Gray Gray Gray Red Red\nRed Gray Gray Gray Gray Gray Gray Red Red\nRed Gray Gray Gray Gray Gray Black Red Red\nRed Black Black Gray Gray Gray Black Red Red\nRed Red Red Red Red Red Red Red Red\n\nOutput:\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Red Red Red Red Red Brown Brown Brown Brown\nBrown Brown Brown Red Red Red Red Red Brown Brown Brown Brown\nBrown Brown Brown Black Red Black Red Red Brown Brown Brown Brown\nBrown Brown Brown Red Red Red Red Red Brown Brown Brown Brown\nBrown Brown Brown Red Red Red Red Red Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown 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:\nBlue Blue Blue Blue Gray Gray Gray Gray Red Red Green Green Black Black Red Red Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Green Green\nBlue Blue Blue Blue Gray Gray Gray Gray Red Red Green Green Black Black Red Red Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Green Green\nRed Red Gray Gray Yellow Yellow Gray Gray Blue Blue Blue Blue Black Black Gray Gray Yellow Yellow Yellow Yellow Gray Gray Green Green Blue Blue\nRed Red Gray Gray Yellow Yellow Gray Gray Blue Blue Blue Blue Black Black Gray Gray Yellow Yellow Yellow Yellow Gray Gray Green Green Blue Blue\nGreen Green Green Green Blue Blue Red Red Blue Blue Blue Blue Black Black Blue Blue Blue Blue Yellow Yellow Gray Gray Red Red Gray Gray\nGreen Green Green Green Blue Blue Red Red Blue Blue Blue Blue Black Black Blue Blue Blue Blue Yellow Yellow Gray Gray Red Red Gray Gray\nGray Gray Blue Blue Yellow Yellow Gray Gray Red Red Gray Gray Black Black Green Green Green Green Red Red Gray Gray Yellow Yellow Gray Gray\nGray Gray Blue Blue Yellow Yellow Gray Gray Red Red Gray Gray Black Black Green Green Green Green Red Red Gray Gray Yellow Yellow Gray Gray\nYellow Yellow Yellow Yellow Green Green Blue Blue Blue Blue Red Red Black Black Green Green Gray Gray Blue Blue Blue Blue Red Red Blue Blue\nYellow Yellow Yellow Yellow Green Green Blue Blue Blue Blue Red Red Black Black Green Green Gray Gray Blue Blue Blue Blue Red Red Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nYellow Yellow Gray Gray Green Green Gray Gray Yellow Yellow Green Green Black Black Blue Blue Yellow Yellow Green Green Gray Gray Yellow Yellow Green Green\nYellow Yellow Gray Gray Green Green Gray Gray Yellow Yellow Green Green Black Black Blue Blue Yellow Yellow Green Green Gray Gray Yellow Yellow Green Green\nYellow Yellow Gray Gray Yellow Yellow Red Red Yellow Yellow Red Red Black Black Blue Blue Green Green Yellow Yellow Red Red Green Green Gray Gray\nYellow Yellow Gray Gray Yellow Yellow Red Red Yellow Yellow Red Red Black Black Blue Blue Green Green Yellow Yellow Red Red Green Green Gray Gray\nYellow Yellow Red Red Red Red Red Red Blue Blue Blue Blue Black Black Blue Blue Green Green Yellow Yellow Blue Blue Blue Blue Yellow Yellow\nYellow Yellow Red Red Red Red Red Red Blue Blue Blue Blue Black Black Blue Blue Green Green Yellow Yellow Blue Blue Blue Blue Yellow Yellow\nGreen Green Red Red Green Green Red Red Gray Gray Red Red Black Black Gray Gray Red Red Blue Blue Gray Gray Red Red Yellow Yellow\nGreen Green Red Red Green Green Red Red Gray Gray Red Red Black Black Gray Gray Red Red Blue Blue Gray Gray Red Red Yellow Yellow\nBlue Blue Blue Blue Yellow Yellow Red Red Yellow Yellow Blue Blue Black Black Green Green Blue Blue Red Red Gray Gray Green Green Gray Gray\nBlue Blue Blue Blue Yellow Yellow Red Red Yellow Yellow Blue Blue Black Black Green Green Blue Blue Red Red Gray Gray Green Green Gray Gray\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nGray Gray Green Green Gray Gray Green Green Red Red Blue Blue Black Black Blue Blue Gray Gray Gray Gray Red Red Blue Blue Yellow Yellow\nGray Gray Green Green Gray Gray Green Green Red Red Blue Blue Black Black Blue Blue Gray Gray Gray Gray Red Red Blue Blue Yellow Yellow\nGray Gray Yellow Yellow Red Red Blue Blue Red Red Gray Gray Black Black Blue Blue Gray Gray Green Green Red Red Yellow Yellow Red Red\nGray Gray Yellow Yellow Red Red Blue Blue Red Red Gray Gray Black Black Blue Blue Gray Gray Green Green Red Red Yellow Yellow Red Red\nYellow Yellow Gray Gray Green Green Yellow Yellow Yellow Yellow Green Green Black Black Green Green Gray Gray Yellow Yellow Gray Gray Green Green Red Red\nYellow Yellow Gray Gray Green Green Yellow Yellow Yellow Yellow Green Green Black Black Green Green Gray Gray Yellow Yellow Gray Gray Green Green Red Red\nGreen Green Green Green Red Red Yellow Yellow Blue Blue Blue Blue Black Black Gray Gray Blue Blue Red Red Red Red Red Red Blue Blue\nGreen Green Green Green Red Red Yellow Yellow Blue Blue Blue Blue Black Black Gray Gray Blue Blue Red Red Red Red Red Red Blue Blue\nBlue Blue Gray Gray Red Red Yellow Yellow Yellow Yellow Blue Blue Black Black Green Green Green Green Gray Gray Blue Blue Red Red Gray Gray\nBlue Blue Gray Gray Red Red Yellow Yellow Yellow Yellow Blue Blue Black Black Green Green Green Green Gray Gray Blue Blue Red Red Gray Gray\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Red Red Red Red Yellow Yellow Red Red Gray Gray Black Black Yellow Yellow Red Red Gray Gray Yellow Yellow Gray Gray Gray Gray\nGreen Green Red Red Red Red Yellow Yellow Red Red Gray Gray Black Black Yellow Yellow Red Red Gray Gray Yellow Yellow Gray Gray Gray Gray\nGray Gray Blue Blue Gray Gray Blue Blue Red Red Blue Blue Black Black Yellow Yellow Red Red Blue Blue Green Green Yellow Yellow Green Green\nGray Gray Blue Blue Gray Gray Blue Blue Red Red Blue Blue Black Black Yellow Yellow Red Red Blue Blue Green Green Yellow Yellow Green Green\nRed Red Green Green Gray Gray Green Green Green Green Red Red Black Black Green Green Red Red Yellow Yellow Blue Blue Gray Gray Green Green\nRed Red Green Green Gray Gray Green Green Green Green Red Red Black Black Green Green Red Red Yellow Yellow Blue Blue Gray Gray Green Green\nGray Gray Gray Gray Red Red Yellow Yellow Red Red Red Red Black Black Blue Blue Yellow Yellow Red Red Green Green Yellow Yellow Gray Gray\nGray Gray Gray Gray Red Red Yellow Yellow Red Red Red Red Black Black Blue Blue Yellow Yellow Red Red Green Green Yellow Yellow Gray Gray\nGray Gray Gray Gray Gray Gray Green Green Gray Gray Blue Blue Black Black Red Red Gray Gray Yellow Yellow Blue Blue Red Red Red Red\nGray Gray Gray Gray Gray Gray Green Green Gray Gray Blue Blue Black Black Red Red Gray Gray Yellow Yellow Blue Blue 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```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Black Orange Black Orange Black Orange Orange Black Orange Black Black Orange Orange Black Black Black Orange Black Orange\nOrange Black Orange Orange Orange Orange Orange Black Black Black Black Black Orange Black Orange Orange Orange Orange Orange Black\nBlack Orange Orange Black Black Orange Orange Black Orange Black Black Black Black Black Black Orange Black Black Orange Orange\nOrange Black Orange Orange Orange Black Orange Black Orange Black Black Black Black Black Black Black Black Orange Orange Orange\nBlack Orange Black Orange Black Orange Orange Orange Orange Black Orange Orange Black Black Black Orange Orange Orange Black Orange\nOrange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Black Orange Orange Orange Black Orange Black\nOrange Black Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange\nOrange Orange Orange Black Black Black Orange Black Orange Black Orange Orange Black Orange Black Black Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Black Orange Black Orange Black Black Black Black Orange Orange Orange Orange Black Black\nOrange Orange Orange Black Black Orange Orange Orange Black Orange Black Orange Orange Orange Black Orange Black Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Black Orange\nBlack Orange Orange Black Orange Black Orange Orange Orange Black Black Black Orange Orange Orange Black Orange Black Black Black\nOrange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Black Black Black Orange Orange Orange Orange Black Black Black Black Orange Orange Orange Orange Black\nOrange Orange Black Orange Orange Black Orange Orange Orange Orange Orange Orange Black Black Black Black Orange Orange Black Orange\nBlack Black Orange Orange Orange Black Black Orange Black Orange Orange Orange Black Black Black Orange Orange Orange Orange Black\nBlack Orange Black Orange Black Orange Orange Orange Black Orange Orange Orange Black Orange Black Orange Orange Black Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Black Black Orange Orange\nOrange Orange Orange Black Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Black Orange Black Orange Orange Orange Black Black Orange Orange Black Orange Orange Orange Orange Black Orange\n\nOutput:\nOrange Black Orange Black Orange Black Orange Orange Yellow Yellow Yellow Yellow Yellow Orange Black Black Black Orange Black Orange\nOrange Black Orange Orange Orange Orange Orange Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Black\nBlack Orange Orange Black Black Orange Orange Black Yellow Black Black Yellow Yellow Black Black Yellow Black Black Orange Orange\nOrange Black Orange Orange Orange Black Orange Black Yellow Black Black Yellow Yellow Black Black Yellow Black Orange Orange Orange\nBlack Orange Black Orange Black Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Black Black Yellow Orange Orange Black Orange\nOrange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Orange Black Orange Black\nOrange Black Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange\nOrange Orange Orange Black Black Black Orange Black Orange Black Orange Orange Black Orange Black Black Orange Orange Black Black\nOrange Orange Orange Orange Orange Orange Black Orange Black Orange Black Black Black Black Orange Orange Orange Orange Black Black\nOrange Orange Orange Black Black Orange Orange Orange Black Orange Black Orange Orange Orange Black Orange Black Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Black Orange\nBlack Orange Orange Black Orange Black Orange Orange Orange Black Black Black Orange Orange Orange Black Orange Black Black Black\nOrange Orange Black Black Black Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange\nOrange Orange Orange Black Black Black Black Orange Orange Orange Orange Yellow Black Black Black Yellow Orange Orange Orange Black\nOrange Orange Black Orange Orange Black Orange Orange Orange Orange Orange Yellow Black Black Black Yellow Orange Orange Black Orange\nBlack Black Orange Orange Orange Black Black Orange Black Orange Orange Yellow Black Black Black Yellow Orange Orange Orange Black\nBlack Orange Black Orange Black Orange Orange Orange Black Orange Orange Yellow Yellow Yellow Yellow Yellow Orange Black Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Black Black Orange Orange\nOrange Orange Orange Black Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Black Orange Black Orange Orange Orange Black Black Orange Orange Black Orange Orange Orange Orange Black Orange\n\n\nExample 2\nInput:\nGreen Black Green Green Black Green Green Green Green Black Green Green Green Green Green Black Green Green Green Green\nBlack Black Black Green Black Green Green Green Green Green Green Green Green Green Green Black Green Green Green Green\nBlack Green Black Green Green Green Green Green Green Green Black Black Green Black Green Green Green Green Black Green\nBlack Green Green Black Green Black Green Green Black Black Green Black Black Green Green Black Green Black Green Green\nBlack Black Green Black Green Green Green Green Green Green Green Green Green Black Green Green Green Black Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Black Green Black Black Black Green Green Green Green\nGreen Green Black Black Green Green Black Green Black Green Black Green Green Green Black Green Black Green Green Green\nBlack Green Green Black Black Green Black Green Black Green Black Black Black Black Green Green Green Green Green Black\nGreen Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Black Black Black Green Green Green\nBlack Black Green Black Black Black Green Green Black Black Black Green Green Green Green Green Green Green Green Black\nBlack Black Green Black Black Black Green Black Green Green Green Green Green Green Green Green Green Black Green Black\nGreen Green Green Black Black Green Green Green Green Green Black Green Green Black Green Green Black Green Green Green\nGreen Green Green Green Green Black Green Green Green Green Black Black Black Green Black Green Green Black Black Green\nGreen Green Green Green Green Green Green Green Green Black Green Green Green Black Green Black Green Black Green Green\nBlack Black Black Green Green Green Green Green Green Green Green Black Green Green Black Black Black Green Green Green\nGreen Black Green Black Black Black Black Black Black Black Black Black Green Black Green Green Green Green Green Black\nBlack Green Green Black Green Green Green Black Green Green Green Green Green Black Green Green Green Black Green Black\nGreen Black Green Green Green Green Green Green Green Black Green Green Green Green Black Green Green Green Black Green\nBlack Green Black Green Black Green Green Green Green Black Black Black Green Green Black Green Black Green Green Green\n\nOutput:\nGreen Black Green Green Black Green Green Green Green Black Green Green Green Green Green Black Green Green Green Green\nBlack Black Black Green Black Green Green Green Green Green Green Green Green Green Green Black Green Green Green Green\nBlack Green Black Green Green Green Green Green Green Green Black Black Green Black Green Green Green Green Black Green\nBlack Green Green Black Green Black Green Green Black Black Green Black Black Green Green Black Green Black Green Green\nBlack Black Green Black Green Green Green Green Green Green Green Green Green Black Green Green Green Black Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Black Green Black Black Black Green Green Green Green\nGreen Green Black Black Green Green Black Green Black Green Black Green Green Green Black Green Black Green Green Green\nBlack Green Green Black Black Green Black Green Black Green Black Black Black Black Green Green Green Green Green Black\nGreen Black Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Yellow Black Black Black Yellow Green Green Green Green Green Green Green Black Black Black Green Green Green\nBlack Black Yellow Black Black Black Yellow Green Black Black Black Green Green Green Green Green Green Green Green Black\nBlack Black Yellow Black Black Black Yellow Black Green Green Green Green Green Green Green Green Green Black Green Black\nGreen Green Yellow Yellow Yellow Yellow Yellow Green Green Green Black Green Green Black Green Green Black Green Green Green\nGreen Green Green Green Green Black Green Green Green Green Black Black Black Green Black Green Green Black Black Green\nGreen Green Green Green Green Green Green Green Green Black Green Green Green Black Green Black Green Black Green Green\nBlack Black Black Green Green Green Green Green Green Green Green Black Green Green Black Black Black Green Green Green\nGreen Black Green Black Black Black Black Black Black Black Black Black Green Black Green Green Green Green Green Black\nBlack Green Green Black Green Green Green Black Green Green Green Green Green Black Green Green Green Black Green Black\nGreen Black Green Green Green Green Green Green Green Black Green Green Green Green Black Green Green Green Black Green\nBlack Green Black Green Black Green Green Green Green Black Black Black Green Green Black Green Black Green Green Green\n\n\nExample 3\nInput:\nGreen Green Green Green Black Green Green Green Green Black Green Green Green Green Green Green Green Green Green Black\nGreen Green Green Green Black Green Black Green Green Black Black Green Green Green Black Green Green Black Green Black\nGreen Black Black Black Black Black Green Green Black Green Green Black Green Green Black Black Green Green Green Green\nGreen Green Green Black Black Black Black Green Black Green Green Black Green Green Green Black Black Green Green Green\nGreen Green Green Black Black Black Green Green Green Green Green Black Black Green Green Green Green Black Green Green\nGreen Green Green Green Black Green Black Green Green Green Green Black Green Green Green Green Green Black Green Green\nGreen Black Green Green Green Green Black Black Green Green Black Green Green Green Green Green Green Green Black Black\nGreen Green Black Black Green Green Green Green Green Black Black Black Green Black Green Green Green Black Green Green\nBlack Green Black Green Black Black Black Green Black Green Green Green Black Black Green Green Black Green Black Black\nGreen Green Green Green Black Black Black Black Black Black Green Green Green Black Black Green Green Green Green Green\nBlack Green Black Black Black Black Black Black Black Green Green Black Green Green Black Green Black Green Green Black\nGreen Green Green Green Green Green Black Green Black Green Green Black Green Green Green Green Green Green Green Green\nGreen Green Green Green Black Green Green Black Green Green Black Green Green Green Green Green Black Black Green Green\nGreen Black Green Black Green Green Green Green Green Green Green Black Black Green Black Green Green Green Green Green\nGreen Black Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Green Black\nGreen Black Green Black Green Black Black Green Black Black Green Green Green Black Green Green Green Green Black Green\nGreen Green Green Black Green Black Black Green Black Black Black Green Green Black Green Green Green Green Black Green\nGreen Green Green Black Black Green Black Green Black Black Black Black Black Green Black Green Green Black Black Black\nGreen Green Green Green Green Green Green Black Black Black Black Black Green Green Green Black Green Green Green Black\nGreen Green Green Black Black Black Black Green Black Green Black Green Green Black Green Green Black Black Black Black\n\nOutput:\nGreen Green Green Green Black Green Green Green Green Black Green Green Green Green Green Green Green Green Green Black\nGreen Green Yellow Yellow Yellow Yellow Yellow Green Green Black Black Green Green Green Black Green Green Black Green Black\nGreen Black Yellow Black Black Black Yellow Green Black Green Green Black Green Green Black Black Green Green Green Green\nGreen Green Yellow Black Black Black Yellow Green Black Green Green Black Green Green Green Black Black Green Green Green\nGreen Green Yellow Black Black Black Yellow Green Green Green Green Black Black Green Green Green Green Black Green Green\nGreen Green Yellow Yellow Yellow Yellow Yellow Green Green Green Green Black Green Green Green Green Green Black Green Green\nGreen Black Green Green Green Green Black Black Green Green Black Green Green Green Green Green Green Green Black Black\nGreen Green Black Yellow Yellow Yellow Yellow Yellow Green Black Black Black Green Black Green Green Green Black Green Green\nBlack Green Black Yellow Black Black Black Yellow Black Green Green Green Black Black Green Green Black Green Black Black\nGreen Green Green Yellow Black Black Black Yellow Black Black Green Green Green Black Black Green Green Green Green Green\nBlack Green Black Yellow Black Black Black Yellow Black Green Green Black Green Green Black Green Black Green Green Black\nGreen Green Green Yellow Yellow Yellow Yellow Yellow Black Green Green Black Green Green Green Green Green Green Green Green\nGreen Green Green Green Black Green Green Black Green Green Black Green Green Green Green Green Black Black Green Green\nGreen Black Green Black Green Green Green Green Green Green Green Black Black Green Black Green Green Green Green Green\nGreen Black Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Green Black\nGreen Black Green Black Green Black Black Yellow Yellow Yellow Yellow Yellow Green Black Green Green Green Green Black Green\nGreen Green Green Black Green Black Black Yellow Black Black Black Yellow Green Black Green Green Green Green Black Green\nGreen Green Green Black Black Green Black Yellow Black Black Black Yellow Black Green Black Green Green Black Black Black\nGreen Green Green Green Green Green Green Yellow Black Black Black Yellow Green Green Green Black Green Green Green Black\nGreen Green Green Black Black Black Black Yellow Yellow Yellow Yellow Yellow Green Black Green Green Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Pink Pink Black Pink Pink Black\nPink Black Pink Pink Pink Pink Black Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Black Pink Black\nPink Black Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Black Pink Pink\nBlack Pink Pink Pink Black Pink Pink Black Pink Pink Pink Black Black Black Pink Pink Black Black Black Black\nPink Black Pink Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink\nPink Pink Black Black Pink Black Pink Pink Black Pink Pink Black Pink Pink Pink Pink Pink Black Pink Pink\nPink Pink Black Black Pink Pink Black Pink Pink Black Pink Pink Black Pink Pink Black Pink Black Pink Pink\nBlack Pink Pink Black Pink Black Pink Pink Black Black Black Pink Black Pink Pink Black Pink Pink Pink Pink\nPink Pink Black Pink Black Pink Black Pink Pink Pink Pink Black Black Pink Black Black Pink Black Black Pink\nPink Black Black Pink Black Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Black Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Black Black Black Pink\nPink Black Pink Pink Pink Black Pink Pink Pink Pink Black Pink Black Black Pink Pink Black Black Black Black\nPink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Black Black Black Black Pink\nPink Pink Pink Black Pink Pink Pink Pink Black Black Pink Pink Black Pink Pink Pink Black Pink Black Pink\nPink Black Pink Black Black Pink Pink Pink Black Pink Pink Pink Pink Black Pink Pink Pink Black Pink Pink\nBlack Pink Pink Pink Black Pink Black Pink Pink Pink Pink Black Black Black Black Pink Pink Black Black Black\nBlack Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Pink Black Black Black\nPink Pink Pink Black Pink Black Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Black Black Black\nPink Pink Black Black Pink Pink Pink Pink Black Pink Pink Pink Pink Black Pink Black Pink Pink Black Pink\nBlack Pink Black Black Black Pink Black Pink Pink Pink Pink Black Pink Pink Black Pink Pink Pink Black Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Pink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Black Pink Pink Black Pink Pink Black\nPink Black Pink Pink Pink Pink Black Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Black Pink Black\nPink Black Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Black Pink Pink\nBlack Pink Pink Pink Black Pink Pink Black Pink Pink Pink Black Black Black Pink Pink Black Black Black Black\nPink Black Pink Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink Pink Pink Pink Black Pink\nPink Pink Black Black Pink Black Pink Pink Black Pink Pink Black Pink Pink Pink Pink Pink Black Pink Pink\nPink Pink Black Black Pink Pink Black Pink Pink Black Pink Pink Black Pink Pink Black Pink Black Pink Pink\nBlack Pink Pink Black Pink Black Pink Pink Black Black Black Pink Black Pink Pink Black Pink Pink Pink Pink\nPink Pink Black Pink Black Pink Black Pink Pink Pink Pink Black Black Pink Black Black Pink Black Black Pink\nPink Black Black Pink Black Pink Pink Pink Pink Pink Pink Pink Black Black Pink Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Black Pink Pink Pink Pink Pink Black Pink Black Pink Pink Yellow Black Black Black Yellow\nPink Black Pink Pink Pink Black Pink Pink Pink Pink Black Pink Black Black Pink Yellow Black Black Black Yellow\nPink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Yellow Black Black Black Yellow\nPink Pink Pink Black Pink Pink Pink Pink Black Black Pink Pink Black Pink Pink Yellow Yellow Yellow Yellow Yellow\nPink Black Pink Black Black Pink Pink Pink Black Pink Pink Pink Pink Black Pink Pink Yellow Yellow Yellow Yellow\nBlack Pink Pink Pink Black Pink Black Pink Pink Pink Pink Black Black Black Black Pink Yellow Black Black Black\nBlack Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Pink Yellow Black Black Black\nPink Pink Pink Black Pink Black Pink Pink Pink Pink Black Black Black Pink Pink Pink Yellow Black Black Black\nPink Pink Black Black Pink Pink Pink Pink Black Pink Pink Pink Pink Black Pink Black Yellow Yellow Yellow Yellow\nBlack Pink Black Black Black Pink Black Pink Pink Pink Pink Black Pink Pink Black Pink Pink Pink Black Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Brown Brown Orange Orange Orange Black\nBlack Black Black Purple Purple Brown Brown Orange Orange Orange Black\nBlack Black Black Purple Purple Brown Brown Black Black Black Black\nBlack Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Brown Brown Brown Orange Orange Orange\nBlack Black Black Purple Purple Purple Brown Brown Orange Orange Orange\nBlack Black Black Purple Purple Purple Brown Brown Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Green Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Green Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Brown Brown Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Black Green Green Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Green Green Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Brown Brown Brown Yellow Yellow Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black 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 Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray 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 Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nRed Black Black Black Black Black Black Brown Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black\nBlack 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 Brown Brown Black Black Black\nRed Red Black Black Black Black Black Brown Brown Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Blue Blue Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Gray Gray\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\nBlack Black Red Red Red Red Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Red Red Yellow Yellow Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Red Red Yellow Yellow Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Yellow Yellow Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Yellow Yellow Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Yellow Yellow Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Yellow Yellow Black Black Black Black\nRed Red Black Black Black Black Red Red Black Black Black Black Yellow Yellow Black Black Black Black\nRed Red Black Black Black Black Red Red Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Yellow Yellow Black Black Black Black\n\nOutput:\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Orange Orange\nBlack Black Black Black Blue Blue Black Black Black Black Orange Orange\nBlack Black Black Black Blue Blue Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Blue Blue Orange Orange Orange Orange Orange Orange\nGreen Green Green Green Green Green Gray Gray Black Black Black Black\nGreen Green Green Green Green Green Gray Gray Black Black Black Black\nGreen Green Black Black Black Black Gray Gray Black Black Black Black\nGreen Green Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Red Red Red Red Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Yellow Yellow Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Yellow Yellow Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Yellow Yellow Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Yellow Yellow Black Black Black Black\nRed Red Red Red Red Red Red Red Black Black Black Black Yellow Yellow Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Yellow Yellow Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Blue Blue Orange Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Green Green Green Green\nPink Pink Pink Pink Pink Pink Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Green Green Green Green Green Green\nPink Pink Pink Pink Pink Pink Green Green Black Black Black Black\nPink Pink Pink Pink Pink Pink Green Green Black Black Black Black\nBlue Blue Blue Blue Blue Blue Orange Orange Black Black Black Black\nBlue Blue Blue Blue Blue Blue Orange Orange Black Black Black Black\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange\nBlue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Pink Pink Brown Brown\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\nBlack Black Red Red Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Red Red Red Red Black Black Red Red Red Red Yellow Yellow Black Black Black Black\nBlack Black Red Red Red Red Black Black Red Red Red Red Yellow Yellow Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Yellow Yellow Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Yellow Yellow Black Black Black Black\n\nOutput:\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Brown Brown Brown Brown\nBlack Black Pink Pink Pink Pink Black Black Brown Brown Brown Brown\nBlack Black Black Black Pink Pink Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Pink Pink 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 Yellow Yellow Gray Gray Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Gray Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green 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 Yellow Yellow Yellow Yellow\nBlack Black Black Black Red Red Red Red Red Red Red Red Yellow Yellow Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Yellow Yellow Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Yellow Yellow Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Yellow Yellow Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Yellow Yellow Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Yellow Yellow Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Yellow Yellow Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Yellow Yellow Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Yellow Yellow Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Yellow Yellow Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Yellow Yellow Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Gray Gray Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Gray Gray Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Black Black\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Black Black\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Black Black\nGray Gray Gray Gray Gray Gray Pink Pink Pink Pink Black Black\nGreen Green Green Green Green Green Blue Blue Blue Blue Black Black\nGreen Green Green Green Green Green Blue Blue Blue Blue Black Black\nGreen Green Green Green Green Green Blue Blue Blue Blue Black Black\nGreen Green Green Green Green Green Blue Blue Blue Blue Black Black\nBlack Black Black Black Green Green Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Green 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:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Green Green Green Black Green Green Green\nBlack Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black\n\nOutput:\nOrange Orange Red Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black\nBlack Green Green Green Black Green Green Green\nBlack Green Green Green Black Green Green Green\nBlack Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black\nBlack Black Black Black Green Green Green Black\nBlack Black Black Black Green Green Green Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Red Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black\nBlack Yellow Green Green Green Black Black Black\nBlack Black Green Green Green Black Black Black\nBlack Black Green Green Green Yellow Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nRed 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 Green Green Green Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Yellow Black\nBlack Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 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 Yellow Black Black Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Green Green Green Black Black Yellow\nBlack Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Yellow Black Black Black Green Green Green Yellow Black Black\nBlack Black Black Black Yellow Black Black Black Yellow Yellow Yellow Yellow Black Black Green Green Green Yellow Black Yellow\nBlack Black Yellow Black Black Yellow Black Black Black Yellow Black Black Black Black Yellow Black Black Black Yellow Black\nBlack Black Yellow Black Yellow Black Black Black Black Black Black Yellow Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Yellow Black Black Black Black Black\nYellow Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Black Yellow Black Black Black Yellow\nYellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Yellow Yellow Yellow Black Black Black Black Black\nYellow Black Black Yellow Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Yellow Black Yellow Yellow Black\nYellow Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black Black Black Yellow Black Yellow\nBlack Black Yellow Black Black Black Yellow Black Black Yellow Yellow Black Black Yellow Black Black Yellow Yellow Black Black\nBlack Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Black Black Black Black Black Black Black Yellow Black\nYellow Black Black Green Green Black Green Green Green Green Yellow Yellow Black Black Yellow Yellow Black Black Green Green\nBlack Yellow Black Green Green Black Green Green Green Green Black Black Yellow Black Black Yellow Black Black Green Green\nYellow Black Black Black Yellow Black Green Green Green Green Yellow Yellow Black Yellow Black Black Black Black Yellow Yellow\nBlack Yellow Black Black Black Black Green Green Green Green Yellow Black Black Black Black Black Black Yellow Black Black\nYellow Yellow Yellow Yellow Black Black Black Yellow Black Yellow Yellow Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Black Black Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow\nBlack Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow\nBlack Black Yellow Black Black Yellow Black Black Black Yellow Black Black Black Black Yellow Black Black Black Yellow Black\nBlack Black Yellow Black Yellow Black Black Black Black Black Black Yellow Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Yellow Black Black Black Black Black\nYellow Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black Yellow Yellow Black Yellow Yellow Black Yellow Black Yellow Black Black Black Yellow\nYellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Yellow Yellow Yellow Black Black Black Black Black\nYellow Black Black Yellow Yellow Black Black Yellow Black Black Yellow Black Black Yellow Black Yellow Black Yellow Yellow Black\nYellow Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow Black Black Black Yellow Black Yellow\nBlack Black Yellow Black Black Black Yellow Black Black Yellow Yellow Black Black Yellow Black Black Yellow Yellow Black Black\nBlack Yellow Yellow Black Yellow Yellow Yellow Yellow Black Yellow Black Black Black Black Black Black Black Black Yellow Black\nYellow Black Black Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Yellow Black Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black Yellow Black Black Yellow Black Black Yellow Yellow\nYellow Black Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Black Black Yellow Yellow\nBlack Yellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Black Black\nYellow Yellow Yellow Yellow Black Black Black Yellow Black Yellow Yellow Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Yellow Yellow Black Yellow Black Yellow Black Black Yellow Yellow Yellow Black Black Black Yellow Black Black Yellow Yellow\nYellow Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nYellow Black Black Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Black Black Yellow Yellow Black Black Black Green Green Black Yellow Black Black Yellow Black Black Black\nBlack Yellow Black Black Black Black Black Yellow Black Yellow Green Green Black Yellow Black Yellow Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Yellow Yellow Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Yellow Black Black Yellow Black Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Black Black Yellow Black Black Black Yellow Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Black Black Black Black Black Black Black Black Yellow Black Black Yellow Black Yellow Black\nYellow Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Black Black Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Yellow Black Yellow Black Black Black Black Yellow Black Black Black Black Yellow\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow\nYellow Black Black Black Yellow Yellow Black Black Black Black Black Yellow Black Black Black Black Black Black Black Yellow\nYellow Black Black Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Yellow Black Yellow Yellow Black\nBlack Black Yellow Black Yellow Yellow Black Black Yellow Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black\nYellow Black Black Yellow Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black\nBlack Black Black Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Yellow Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Yellow Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Yellow Black Black Yellow Black Yellow Black Black Black Black Yellow Yellow Black\n\nOutput:\nBlack Yellow Yellow Black Yellow Black Yellow Black Black Yellow Yellow Yellow Black Black Black Yellow Black Black Yellow Yellow\nYellow Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nYellow Black Black Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Black Black Yellow Yellow Black Black Black Yellow Yellow Black Yellow Black Black Yellow Black Black Black\nBlack Yellow Black Black Black Black Black Yellow Black Yellow Yellow Yellow Black Yellow Black Yellow Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Yellow Yellow Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Yellow Black Black Yellow Black Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Black Black Yellow Black Black Black Yellow Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Black Black Black Black Black Black Black Black Yellow Black Black Yellow Black Yellow Black\nYellow Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Black Black Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Yellow Black Yellow Black Black Black Black Yellow Black Black Black Black Yellow\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow\nYellow Black Black Black Yellow Yellow Black Black Black Black Black Yellow Black Black Black Black Black Black Black Yellow\nYellow Black Black Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Yellow Black Yellow Yellow Black\nBlack Black Yellow Black Yellow Yellow Black Black Yellow Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black\nYellow Black Black Yellow Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black\nBlack Black Black Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Yellow Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Yellow Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Yellow Black Black Yellow Black Yellow Black Black Black Black Yellow Yellow Black\n\n\nExample 3\nInput:\nYellow Yellow Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black Yellow Yellow Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black Black Black Yellow\nBlack Yellow Black Black Yellow Black Black Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Black Black Yellow Black Yellow Black Black Yellow Black Black Black Yellow Yellow Black Black Black Black\nYellow Black Black Black Black Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Yellow Black Black\nYellow Black Yellow Black Yellow Yellow Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black Yellow\nBlack Yellow Black Yellow Yellow Black Yellow Black Black Black Black Black Yellow Black Black Black Black Black Yellow Yellow\nYellow Green Green Black Black Black Black Black Yellow Yellow Black Black Yellow Black Black Black Yellow Black Black Yellow\nBlack Green Green Black Yellow Yellow Black Yellow Black Black Black Black Yellow Black Black Black Black Black Yellow Yellow\nYellow Black Black Black Yellow Black Black Yellow Black Black Green Green Black Black Black Black Black Black Black Yellow\nYellow Black Black Yellow Black Yellow Black Black Black Black Green Green Yellow Yellow Black Black Black Black Black Yellow\nBlack Yellow Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Yellow Yellow Yellow Black Yellow\nBlack Yellow Black Black Black Black Yellow Black Black Yellow Yellow Black Yellow Black Yellow Black Black Yellow Black Black\nBlack Black Black Yellow Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black Yellow Yellow Yellow\nBlack Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Yellow Yellow Black Black Black Black Yellow Black Black Black Black Yellow Yellow Black Yellow Black Black Black Yellow\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Yellow Black Yellow Black Yellow\nBlack Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Yellow Black\n\nOutput:\nYellow Yellow Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black Yellow Yellow Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black Black Black Yellow\nBlack Yellow Black Black Yellow Black Black Black Yellow Black Yellow Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Black Black Yellow Black Yellow Black Black Yellow Black Black Black Yellow Yellow Black Black Black Black\nYellow Black Black Black Black Yellow Black Black Black Black Black Black Yellow Yellow Black Black Black Yellow Black Black\nYellow Black Yellow Black Yellow Yellow Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black Yellow\nBlack Yellow Black Yellow Yellow Black Yellow Black Black Black Black Black Yellow Black Black Black Black Black Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Yellow Yellow Black Black Yellow Black Black Black Yellow Black Black Yellow\nBlack Yellow Yellow Black Yellow Yellow Black Yellow Black Black Black Black Yellow Black Black Black Black Black Yellow Yellow\nYellow Black Black Black Yellow Black Black Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Yellow\nYellow Black Black Yellow Black Yellow Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow\nBlack Yellow Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Yellow Yellow Yellow Black Yellow\nBlack Yellow Black Black Black Black Yellow Black Black Yellow Yellow Black Yellow Black Yellow Black Black Yellow Black Black\nBlack Black Black Yellow Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black Yellow Yellow Yellow\nBlack Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Yellow Yellow Black Black Black Black Yellow Black Black Black Black Yellow Yellow Black Yellow Black Black Black Yellow\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Yellow Black Yellow Black Yellow\nBlack Yellow Yellow Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Yellow Black Yellow Black Black Black Black Black Yellow Black Black Black Black Black Black\nYellow Black Black Black Yellow Black Yellow Black Black Yellow Black Yellow Black Yellow Yellow Black Yellow Black Black Black\nGreen Green Black Black Yellow Black Yellow Yellow Black Yellow Black Black Black Black Black Black Black Yellow Black Black\nGreen Green Black Yellow Yellow Black Black Black Green Green Yellow Yellow Black Black Black Black Black Black Black Yellow\nBlack Yellow Yellow Black Black Black Black Black Green Green Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Yellow Black Yellow Yellow Black Black Black Yellow Black Yellow Black Yellow Black Yellow Green Green Green\nYellow Yellow Black Yellow Black Black Black Yellow Black Yellow Black Yellow Yellow Yellow Black Black Black Green Green Green\nYellow Black Black Black Yellow Black Black Black Black Yellow Black Yellow Black Yellow Black Black Black Green Green Green\nBlack Yellow Yellow Yellow Black Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow\nBlack Black Black Black Black Yellow Black Yellow Black Black Yellow Yellow Black Yellow Black Black Black Black Yellow Black\nBlack Black Black Yellow Black Black Yellow Black Black Black Yellow Black Black Yellow Black Black Black Yellow Black Yellow\nBlack Yellow Black Yellow Black Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black Yellow Black Black Black Yellow Black\nBlack Yellow Black Black Black Black Black Yellow Black Black Yellow Black Yellow Yellow Black Black Black Yellow Black Yellow\nYellow Black Black Yellow Black Black Black Black Yellow Black Black Black Black Black Yellow Yellow Black Black Black Yellow\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Yellow Black Black Yellow Black Yellow Yellow Black\nYellow Black Black Black Yellow Black Black Black Yellow Black Yellow Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Yellow Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns 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 Yellow Black Black Black Black Black Yellow Black Black Black Black Black Black\nYellow Black Black Black Yellow Black Yellow Black Black Yellow Black Yellow Black Yellow Yellow Black Yellow Black Black Black\nYellow Yellow Black Black Yellow Black Yellow Yellow Black Yellow Black Black Black Black Black Black Black Yellow Black Black\nYellow Yellow Black Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow\nBlack Yellow Yellow Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Yellow Black Yellow Yellow Black Black Black Yellow Black Yellow Black Yellow Black Yellow Yellow Yellow Yellow\nYellow Yellow Black Yellow Black Black Black Yellow Black Yellow Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Black Black Black Yellow Black Black Black Black Yellow Black Yellow Black Yellow Black Black Black Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Yellow Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Yellow\nBlack Black Black Black Black Yellow Black Yellow Black Black Yellow Yellow Black Yellow Black Black Black Black Yellow Black\nBlack Black Black Yellow Black Black Yellow Black Black Black Yellow Black Black Yellow Black Black Black Yellow Black Yellow\nBlack Yellow Black Yellow Black Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black Yellow Black Black Black Yellow Black\nBlack Yellow Black Black Black Black Black Yellow Black Black Yellow Black Yellow Yellow Black Black Black Yellow Black Yellow\nYellow Black Black Yellow Black Black Black Black Yellow Black Black Black Black Black Yellow Yellow Black Black Black Yellow\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Yellow Black Black Yellow Black Yellow Yellow Black\nYellow Black Black Black Yellow Black Black Black Yellow Black Yellow Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Yellow Black Yellow Black Yellow Yellow Yellow Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black 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 Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black 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 Black 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 Black 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 Black 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 Black 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 Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Orange Black Black Black Orange Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Orange Black Black Black Orange Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Orange Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black 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 Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Orange Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black Black\nRed Black Black Black 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 Black Black Black Black Black Black Black Black Black\nRed Black Black Black 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 Black Black Black Black Black Black Black Black Black\nRed Black Black Black 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 Black Black Black Black Black Black Black Black Black\nRed Black Black Black 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 Black Black Black Black Black Black Black Black Black\nRed Black Black Black 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 Black Black Black Black Black Black Black Black Black\nRed 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\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Orange Black Orange Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Orange Black Orange Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Red Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns 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 Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green 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 Green Green 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 Green Green 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 Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Black\nPurple Black Purple Purple\nPurple Black Purple Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nPurple Black Purple Purple Purple Black\nPurple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple\nBlack Purple Purple Purple Black Purple\n\n\nExample 2\nInput:\nBrown Black Brown Black\nBrown Brown Brown Black\nBlack Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Brown Brown Brown Brown Black\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBlack Brown Brown Brown Brown Black\n\n\nExample 3\nInput:\nOrange Orange Orange\nOrange Orange Orange\nOrange Black Orange\nBlack Orange Orange\n\nOutput:\nBlack Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black\nOrange Orange Orange Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown\nBrown Brown Black\nBlack Brown Brown\nBlack Brown Brown\nBrown 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 Brown Brown Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black\nBrown Brown Brown Brown 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 Purple Purple\nGray Orange Green Brown\nRed Yellow Green Brown\nYellow Yellow Yellow Yellow\n\nOutput:\nOrange Orange Orange Orange\nOrange Orange Orange Orange\nOrange Orange Orange Orange\nOrange Orange Orange Orange\n\n\nExample 2\nInput:\nRed Brown Brown Gray Yellow\nGray Orange Brown Gray Yellow\nGray Yellow Green Green Green\nPurple Brown Blue Pink Yellow\nOrange Purple Blue Pink Pink\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\n\n\nExample 3\nInput:\nOrange Orange Purple Brown Orange\nBlue Orange Brown Brown Purple\nBlue Gray Red Red Red\nGray Gray Red Blue Gray\nGray Brown Yellow Gray Pink\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\n\n\nHere is the input grid for the test example:\nInput:\nPink Blue Purple\nBlue Blue Yellow\nBlue Pink Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange\nOrange Orange Orange\nOrange Orange Orange\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Blue Black Red Black Black Green Red Black Black\nBlue Black Black Black Black Black Black Black Black Black Red Black Black\nBlack 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\nBlack Black Black Black Black Blue Red Black Black Black Black Black Black\nBlack Black Blue Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Green Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Blue Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Blue 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 Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Blue Black Black 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 Red Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Pink Pink Black Blue Blue Blue Blue\nBlack Black Black Black Black Pink Pink Yellow Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlack Red Black Black Black Black Black Black Black Black Red Red\nBlack Black Red Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Green Black Blue Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Blue Black\nGreen Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Red Black Black\nBlack Black Green Black Black Red Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Red Black Black Black Black Green Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Orange Orange Pink Black Black Black Brown Black Brown Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Orange Orange Brown Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Orange Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Orange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Orange Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Brown Brown Pink Black\nBlack Black Black Black Black Black Black Black Pink Pink Brown Brown Pink Black\nBlack Black Black Black Black Purple Purple Black Pink Pink Pink Pink Black Black\nBlack Black Black Red Purple Purple Black Black Black Pink Black Black Black Black\nBlack Purple Purple Red Yellow Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Pink Pink Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Pink Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Pink Pink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Gray Brown Brown Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\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 Pink Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Red Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Green Green Green Green Black Black Black Black\nBlack Black Yellow Green Yellow Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Yellow Green Green Black Black Black Black Green Green Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\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```\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Red Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Purple Yellow Pink Pink Red Blue\nPink Orange Red Gray Pink Blue Brown Brown\nYellow Brown Orange Brown Purple Green Red Gray\nPink Orange Orange Purple Gray Purple Brown Pink\nBrown Gray Green Brown Brown Brown Red Blue\nPurple Orange Orange Orange Blue Purple Purple Blue\nGray Blue Blue Yellow Purple Blue Purple Yellow\nPink Pink Purple Yellow Purple Yellow Orange Purple\nOrange Gray Green Green Yellow Red Pink Blue\nBrown Purple Green Orange Yellow Gray Red Blue\nGreen Orange Green Purple Gray Pink Orange Orange\nGreen Yellow Purple Gray Yellow Orange Brown Purple\n\nOutput:\nGreen Yellow Purple Gray Yellow Orange Brown Purple\nGreen Orange Green Purple Gray Pink Orange Orange\nBrown Purple Green Orange Yellow Gray Red Blue\nOrange Gray Green Green Yellow Red Pink Blue\nPink Pink Purple Yellow Purple Yellow Orange Purple\nGray Blue Blue Yellow Purple Blue Purple Yellow\nPurple Orange Orange Orange Blue Purple Purple Blue\nBrown Gray Green Brown Brown Brown Red Blue\nPink Orange Orange Purple Gray Purple Brown Pink\nYellow Brown Orange Brown Purple Green Red Gray\nPink Orange Red Gray Pink Blue Brown Brown\nOrange Orange Purple Yellow Pink Pink Red Blue\n\n\nExample 2\nInput:\nOrange Brown Pink Orange Pink Pink Pink\nYellow Blue Orange Yellow Blue Orange Orange\nBlue Purple Blue Blue Purple Red Orange\nRed Brown Orange Purple Red Pink Brown\nGreen Gray Brown Purple Purple Orange Brown\nPink Brown Pink Pink Gray Yellow Purple\nBlue Brown Green Orange Pink Brown Purple\nGray Purple Green Blue Gray Gray Purple\nRed Purple Yellow Green Yellow Gray Red\nOrange Brown Yellow Red Purple Orange Yellow\n\nOutput:\nOrange Brown Yellow Red Purple Orange Yellow\nRed Purple Yellow Green Yellow Gray Red\nGray Purple Green Blue Gray Gray Purple\nBlue Brown Green Orange Pink Brown Purple\nPink Brown Pink Pink Gray Yellow Purple\nGreen Gray Brown Purple Purple Orange Brown\nRed Brown Orange Purple Red Pink Brown\nBlue Purple Blue Blue Purple Red Orange\nYellow Blue Orange Yellow Blue Orange Orange\nOrange Brown Pink Orange Pink Pink Pink\n\n\nExample 3\nInput:\nGray Gray Green Brown Orange Yellow Gray\nBrown Pink Orange Yellow Purple Blue Blue\nYellow Blue Gray Brown Red Orange Green\nYellow Purple Red Pink Brown Yellow Blue\nRed Yellow Yellow Blue Green Brown Gray\nGreen Orange Pink Gray Blue Brown Pink\nBlue Green Purple Green Green Pink Brown\nOrange Purple Orange Gray Yellow Purple Yellow\nPurple Blue Gray Blue Green Blue Pink\nPink Blue Pink Blue Blue Orange Pink\nOrange Brown Purple Purple Yellow Green Purple\n\nOutput:\nOrange Brown Purple Purple Yellow Green Purple\nPink Blue Pink Blue Blue Orange Pink\nPurple Blue Gray Blue Green Blue Pink\nOrange Purple Orange Gray Yellow Purple Yellow\nBlue Green Purple Green Green Pink Brown\nGreen Orange Pink Gray Blue Brown Pink\nRed Yellow Yellow Blue Green Brown Gray\nYellow Purple Red Pink Brown Yellow Blue\nYellow Blue Gray Brown Red Orange Green\nBrown Pink Orange Yellow Purple Blue Blue\nGray Gray Green Brown Orange Yellow Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Pink Blue Yellow Brown Purple Gray Gray\nGray Pink Purple Red Purple Orange Brown Gray Purple\nGreen Gray Brown Pink Green Purple Orange Red Orange\nPink Pink Yellow Brown Gray Purple Brown Purple Green\nBrown Brown Blue Red Orange Yellow Yellow Blue Purple\nGray Brown Orange Purple Red Blue Blue Red Green\nBrown Orange Orange Orange Pink Green Pink Yellow Pink\nBlue Pink Pink Blue Green Red Blue Orange Red\nPink Pink Gray Orange Green Purple Yellow Blue Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Gray Orange Green Purple Yellow Blue Yellow\nBlue Pink Pink Blue Green Red Blue Orange Red\nBrown Orange Orange Orange Pink Green Pink Yellow Pink\nGray Brown Orange Purple Red Blue Blue Red Green\nBrown Brown Blue Red Orange Yellow Yellow Blue Purple\nPink Pink Yellow Brown Gray Purple Brown Purple Green\nGreen Gray Brown Pink Green Purple Orange Red Orange\nGray Pink Purple Red Purple Orange Brown Gray Purple\nPink Gray Pink Blue Yellow Brown Purple 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 Yellow Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Yellow Black Yellow Black\nYellow Black Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Yellow Black Black Black 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 Yellow Black Black Black\nBlack Black Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Green Black Black Green Black Green\nBlack Black Black Black Black Black Black Black Green Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black\nGreen Black Black Green Green Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green\n\nOutput:\nBlack Green Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black\nBlack Green Black Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Green Black Black Black Black Black Black Black Green\nBlack Black Black Black Green Black Black Black Black Black\nGreen Black Green Black Black Black Green Black Black Black\nBlack Black Black Green Black Green Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black\nBlack Black Black Green Black Green Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Black Black Gray Black Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns 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 Gray Black Gray Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by 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 Brown Pink Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Pink Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Green Green Green Black\nBlack Black Black Black Black Black Green Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Yellow Yellow Black Black Black Black Purple Purple Purple Purple 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\nPurple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Orange Black Orange Black Black\nBlack Black Black Black Black Black Black Orange Black Orange Black Black\nBlack Black Black Black Black Black Black Green Gray Green Black Black\nBlack Black Black Black Orange Orange Black Green Green Green Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Blue Blue Orange Orange Black Black Black Black Black Black\nBlack Black Orange Black Orange Orange Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Gray Gray Black Black Black Black Black Black\nBlack Yellow Black Yellow Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Orange Black Black Black Black\nBlack Black Black Black Black Orange Black Orange Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Brown Black Black Black Black Yellow Black Black Black Black\nBlack Brown Brown Brown Black Black Black Yellow Red Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black\nPurple Black Black Black Purple Purple Black Black Black Black Black Black\nPurple Purple Black Black Purple Purple Black Red Black Black Black Black\nBlack Purple Black Black Purple Purple Black Red Red Black Black Black\nBlack Black Black Black Gray Black Gray Red Red Black Black Black\nBlack Black Red Black Gray Black Gray Red Black Black Black Black\nBlack Black Red Black Gray Gray Gray Black Black Black Black Black\nRed Red Red Black Gray Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Pink Black Blue Blue Blue Blue Black Black Blue Blue Black Black\nBlack Black Pink Black Black Black Black Black Black Black Blue Blue Brown Black\nBlack Black Pink Pink Black Black Black Black Black Black Blue Blue Brown Brown\nBlack 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\nBlack Pink Pink 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\nBlue 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 Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black 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\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nGray Gray Gray Black Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nGray Gray Gray Gray Gray Gray Gray Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nGray Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black\nBlack Black 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 Black Black\nBlack Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Black\nPink Black Pink Pink Pink Pink Black Black\nBlack Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Black Black\nBlack Yellow Yellow Black Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Black Black\nBlack Yellow Yellow Black Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Black\nYellow Black Yellow Yellow Yellow 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 Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Black Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Black Pink Black\nBlack Pink Pink Pink Black Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Black Pink Pink Pink Black\nPink Black Pink Pink Pink Pink Black Pink Black\nBlack Pink Pink Pink Black Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Pink Pink Black\nPink Black Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black\nBlack Black Yellow Black Yellow Black\nBlack Black Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Black\nBlack Black Yellow Black Yellow 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 Yellow Black Yellow Black\nBlack Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Black Yellow Black\nBlack Yellow Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Purple Purple Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Purple 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\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 Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black 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 Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black 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:\nRed Red Red Black Red\nRed Red Red Black Red\nRed Red Red Red Black\nRed Red Black Black Black\nRed Red Black Red Black\nRed Black Red Red Red\nRed Black Red Black Red\nGreen Green Green Green Green\nRed Red Black Black Red\nBlack Red Red Red Black\nBlack Black Black Black Black\nBlack Red Red Black Red\nRed Red Red Black Red\nRed Black Black Red Black\nBlack Black Black Red Red\n\nOutput:\nYellow Yellow Black Black Yellow\nBlack Yellow Yellow Black Black\nBlack Black Black Black Black\nBlack Yellow Black Black Black\nYellow Yellow Black Black Black\nYellow Black Black Yellow Black\nBlack Black Black Black Yellow\n\n\nExample 2\nInput:\nRed Black Red Black Black Red Red\nBlack Black Black Black Red Red Red\nRed Black Red Red Red Red Red\nRed Red Red Red Red Black Red\nGreen Green Green Green Green Green Green\nRed Black Red Red Red Black Black\nRed Black Black Red Red Red Black\nBlack Black Black Black Red Red Red\nRed Black Black Black Black Red Red\n\nOutput:\nYellow Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow\nYellow Black Black Black Black Black Yellow\n\n\nExample 3\nInput:\nRed Red Black Black Red Red Red Black\nRed Black Red Black Black Black Black Black\nRed Black Black Black Black Red Red Black\nRed Black Red Black Black Red Red Black\nGreen Green Green Green Green Green Green Green\nBlack Black Red Black Black Black Black Red\nRed Black Red Red Red Black Black Black\nBlack Red Black Red Black Red Red Red\nRed Black Black Black Black Red Red Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nYellow Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black\nYellow Black Black Black Black Yellow Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Red Red Red Red\nBlack Black Black Red Black Red\nRed Black Black Red Red Black\nRed Black Black Red Black Red\nRed Red Black Black Black Black\nBlack Black Red Black Red Red\nGreen Green Green Green Green Green\nRed Red Black Red Red Black\nBlack Red Black Red Red Black\nRed Black Black Red Black Black\nBlack Black Black Black Red Black\nRed Black Black Red Red Red\nBlack Red Red Black Red Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Black Black Yellow Yellow Black\nBlack Black Black Yellow Black Black\nYellow Black Black Yellow Black Black\nBlack Black Black Black Black Black\nYellow Black Black Black Black Black\nBlack Black Yellow Black Yellow Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Red Purple\nBlack Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Blue Pink Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Black\n\nOutput:\nBlack Black Blue Blue Black Black Black Black Red Purple\nBlack Blue Blue Blue Black Black Black Black Red Black\nBlack Blue Pink Black Black Black Black Red Red Black\nYellow Yellow Black Black Black Black Blue Blue Black Black\nBlack Blue Blue Black Black Yellow Yellow Black Black Black\nBlack Black Red Red Black Black Blue Pink Black Black\nBlack Black Black Red Black Black Blue Blue Blue Black\nBlack Black Black Red Purple Black Black Blue Blue Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Purple Blue Black Black\nBlack Black Black Black Black Black Yellow Gray Pink Pink Black\nBlack Black Black Black Black Black Red Purple Purple Pink Pink\nBlack Black Black Black Black Black Red Green Green Green Green\nBlack Black Black Black Black Black Red Purple Purple Pink Pink\nBlack Black Black Black Black Black Yellow Gray Pink Pink Black\nBlack Black Black Black Black Black Black Purple Blue Black Black\n\nOutput:\nBlack Purple Blue Black Black Black Purple Blue Black Black\nYellow Gray Pink Pink Black Yellow Gray Pink Pink Black\nRed Purple Purple Pink Pink Red Purple Purple Pink Pink\nRed Green Green Green Green Red Green Green Green Green\nRed Purple Purple Pink Pink Red Purple Purple Pink Pink\nYellow Gray Pink Pink Black Yellow Gray Pink Pink Black\nBlack Purple Blue Black Black Black Purple Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Yellow Yellow Black Yellow Yellow\nBlack Black Black Black Black Yellow Blue Black Blue Yellow\nBlack Black Black Black Black Blue Blue Black Blue Blue\nBlack Black Black Black Black Purple Brown Red Brown Purple\nBlack Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Orange Black Black Black Orange\nBlack Black Black Black Black Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Yellow Yellow Black Yellow Yellow\nOrange Black Black Black Orange Yellow Blue Black Blue Yellow\nGreen Green Green Green Green Blue Blue Black Blue Blue\nPurple Brown Red Brown Purple Purple Brown Red Brown Purple\nBlue Blue Black Blue Blue Green Green Green Green Green\nYellow Blue Black Blue Yellow Orange Black Black Black Orange\nYellow Yellow Black Yellow Yellow Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Brown\nBlack Black Black Black Black Black Black Black Brown Pink\nBlack Black Black Black Black Black Black Green Pink Red\nBlack Black Black Black Black Black Black Green Pink Red\nBlack Black Black Black Black Black Black Pink Orange Red\nBlack Black Black Black Black Blue Pink Pink Red Orange\nBlack Black Black Black Black Red Pink Red Red Orange\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Pink Red Red Orange Yellow Yellow Yellow Yellow Black\nBlue Pink Pink Red Orange Yellow Black Yellow Black Black\nBlack Black Pink Orange Red Black Black Yellow Yellow Brown\nBlack Black Green Pink Red Black Black Black Brown Pink\nBlack Black Green Pink Red Black Black Green Pink Red\nBlack Black Black Brown Pink Black Black Green Pink Red\nBlack Black Yellow Yellow Brown Black Black Pink Orange Red\nYellow Black Yellow Black Black Blue Pink Pink Red Orange\nYellow Yellow Yellow Yellow Black Red Pink Red Red Orange\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Yellow Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Yellow Black Yellow Black Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Black Yellow Black Yellow\nYellow Black Black Yellow Black Black Yellow Black Black\nBlack Yellow Yellow Black Black Black Yellow Black Black\nBlack Yellow Yellow Black Black Black Yellow Black Black\nYellow Black Black Yellow Black Black Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Green Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Green Black Green Black Green\nBlack Black Black Black Black Green Green Green Black\nGreen Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Green Green Green Black\nBlack Black Black Black Green Black Green Black Green\nGreen Black Black Green Black Black Green Black Black\nBlack Green Green Black Black Black Green Black Black\nBlack Green Green Black Black Black Green Black Black\nGreen Black Black Green Black Black Green Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Gray Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Gray Black Gray Black Gray\nBlack Black Black Black Black Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Gray Black Gray Black Gray\nGray Black Black Gray Black Black Gray Black Black\nBlack Gray Gray Black Black Black Gray Black Black\nBlack Gray Gray Black Black Black Gray Black Black\nGray Black Black Gray Black Black Gray Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Purple Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Purple Black Purple Black Purple\nBlack Black Black Black Black Purple Purple Purple Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Purple Black Purple Black Purple\nPurple Black Black Purple Black Black Purple Black Black\nBlack Purple Purple Black Black Black Purple Black Black\nBlack Purple Purple Black Black Black Purple Black Black\nPurple Black Black Purple Black Black Purple Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Orange Purple Pink Green Green Orange Pink Pink Purple Orange Orange\nPurple Red Orange Orange Gray Orange Red Gray Pink Red Yellow Pink\nOrange Yellow Yellow Red Brown Blue Pink Gray Yellow Green Pink Purple\nPurple Pink Green Brown Gray Orange Orange Pink Purple Yellow Pink Yellow\nPurple Blue Pink Yellow Orange Pink Pink Purple Yellow Brown Brown Green\nOrange Brown Gray Pink Pink Orange Red Gray Blue Gray Orange Purple\nOrange Green Orange Gray Orange Yellow Green Brown Brown Brown Purple Red\nBrown Brown Green Yellow Gray Yellow Brown Brown Orange Green Red Green\nGreen Red Gray Red Gray Blue Gray Green Pink Pink Blue Pink\nYellow Gray Orange Gray Yellow Pink Green Yellow Orange Red Gray Yellow\nGray Purple Orange Purple Blue Green Green Pink Gray Orange Green Gray\nBrown Gray Yellow Red Purple Yellow Yellow Purple Orange Red Yellow Purple\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nGray Purple Brown Red Red Pink Purple Yellow Gray Orange Gray Yellow Pink Pink\nPurple Orange Red Red Brown Pink Red Orange Blue Green Orange Red Orange Yellow\nBrown Red Gray Pink Purple Pink Brown Red Purple Green Yellow Orange Yellow Purple\nRed Red Red Red Blue Yellow Pink Pink Brown Brown Blue Gray Red Green\nGreen Purple Gray Orange Gray Green Red Orange Orange Gray Brown Blue Red Purple\nGreen Yellow Red Pink Brown Brown Purple Green Green Yellow Gray Green Purple Green\nYellow Red Brown Yellow Green Purple Green Green Pink Brown Gray Red Green Purple\nBrown Orange Orange Yellow Green Blue Gray Purple Green Orange Pink Brown Yellow Pink\nGray Pink Yellow Orange Purple Pink Yellow Green Red Red Red Purple Brown Pink\nPurple Yellow Orange Pink Blue Blue Blue Pink Blue Yellow Pink Blue Purple Red\nGreen Blue Blue Blue Blue Blue Green Blue Red Green Orange Blue Pink Purple\nGray Pink Purple Gray Orange Brown Red Purple Brown Gray Yellow Pink Brown Purple\nOrange Green Blue Purple Red Orange Green Brown Pink Red Purple Red Gray Purple\nPink Red Brown Pink Pink Green Gray Red Orange Blue Yellow Gray Red Gray\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 Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nGreen Purple Brown Red Gray Purple Red Gray Green Orange Pink Red Yellow Blue Brown Purple Blue\nBlue Red Green Green Brown Gray Green Orange Red Pink Purple Orange Pink Blue Pink Purple Orange\nOrange Green Blue Pink Blue Yellow Blue Orange Brown Green Yellow Brown Purple Orange Green Purple Brown\nGreen Orange Purple Brown Gray Red Orange Gray Purple Orange Pink Red Purple Yellow Red Pink Gray\nPurple Yellow Green Brown Brown Blue Green Green Orange Red Red Green Orange Brown Green Green Blue\nBrown Brown Orange Purple Gray Gray Pink Purple Brown Green Yellow Yellow Orange Gray Pink Pink Red\nOrange Pink Orange Blue Green Gray Gray Red Brown Brown Blue Red Green Blue Pink Blue Blue\nGray Yellow Orange Gray Gray Red Brown Orange Blue Purple Red Blue Gray Yellow Pink Red Blue\nPurple Yellow Orange Green Red Yellow Orange Pink Orange Brown Blue Purple Pink Pink Red Brown Brown\nRed Brown Pink Yellow Gray Orange Purple Yellow Pink Green Pink Blue Blue Gray Pink Brown Red\nGray Red Green Blue Green Brown Pink Orange Brown Green Yellow Yellow Purple Blue Orange Blue Blue\nPurple Green Green Pink Gray Green Orange Orange Purple Gray Yellow Pink Pink Orange Red Yellow Brown\nPink Green Purple Orange Gray Blue Brown Pink Brown Gray Green Brown Purple Purple Brown Green Purple\nGray Purple Red Purple Gray Blue Red Gray Gray Gray Orange Brown Brown Orange Red Green Red\nYellow Green Yellow Blue Orange Red Orange Green Purple Yellow Red Green Brown Gray Yellow Brown Purple\nPink Yellow Gray Pink Orange Gray Yellow Purple Pink Green Blue Yellow Orange Yellow Blue Orange Brown\nRed Green Blue Purple Pink Gray Red Blue Gray Gray Gray Pink Orange Blue Green Blue Gray\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nYellow Gray Gray Yellow Red Brown Gray Brown Gray Red Pink\nBrown Brown Pink Brown Red Red Pink Red Gray Yellow Red\nRed Pink Brown Gray Pink Pink Red Gray Pink Gray Pink\nPink Red Red Pink Gray Pink Gray Yellow Gray Brown Pink\nYellow Yellow Brown Yellow Red Yellow Red Gray Red Yellow Red\nPink Yellow Gray Yellow Brown Gray Yellow Gray Red Brown Red\nYellow Pink Gray Gray Brown Brown Brown Gray Red Red Brown\nPink Red Pink Gray Red Gray Pink Brown Brown Brown Gray\nYellow Pink Brown Red Gray Yellow Brown Yellow Gray Red Pink\nGray Brown Gray Gray Pink Gray Gray Pink Pink Yellow Brown\nGray Gray Gray Pink Gray Brown Red Red Brown Yellow 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```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue 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 Orange Black Black Black Black Black Orange 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 Purple Pink Black 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 Black Black Black\nBlack Black Black Pink Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\nPink Black Black Black Brown Black Black Black Red 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 Red Black Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Purple Green Gray 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 Green Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Black Blue\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Gray Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black Orange Black Brown\n\nOutput:\nPink Black Red Pink Gray Green Green Orange Brown Purple Pink Black Red Orange Green Green Yellow Orange Gray Red\nBlack Black Blue Black Brown Purple Orange Gray Red Black Yellow Black Black Purple Brown Black Black Black Brown Purple\nBlack Black Black Black Black Yellow Pink Black Black Black Black Black Black Red Purple Black Black Black Black Blue\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Green\nBlack Black Black Black Green Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nPurple Brown Black Black Green Black Black Yellow Pink Black Black Pink Black Yellow Brown Black Green Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Black Purple Black Black Black Black Black Black Blue 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 Blue Black Black Brown Black Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Yellow Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Brown Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Red Black Blue Black Black Black Pink\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Black Black\nYellow Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Gray Red Black Black Black Black Black Black Black\nPink Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Brown\nGray Black Black Black Black Black Black Black Black Black Black Black Purple 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\nBlack Black Black Green Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Purple Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\n\nOutput:\nYellow Black Red Blue Pink Green Purple Pink Gray Red Gray Gray Red Blue Black Yellow Purple Gray Green Pink\nPink Black Black Pink Brown Gray Brown Yellow Blue Black Black Black Purple Orange Black Blue Brown Black Gray Brown\nGray Black Black Green Purple Black Black Black Pink Black Black Black Black Red Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Brown Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Pink Black Black Black Black\nOrange 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 Black Black Black Black Black Black Black Black Black Black Black Gray Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Brown Black Black Black Black\nBlack Black Black Black Black Brown Black Orange Black Brown Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black\nRed Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow 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 Purple Black Red Blue Purple Orange Red Brown Green Black Blue Brown Black Yellow Black Gray Red Blue\nGreen Black Black Black Black Brown Black Yellow Black Black Black Black Black Purple Black Pink Black Orange Brown Black\nRed Black Black Black Black Green Black Black Black Black Black Black Black Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Black Black Green Green Green Green Black Black Green Green\nGreen Green Black Black Green Green Green Green Black Black Green Green\nGreen Blue Orange Orange Blue Green Green Blue Orange Orange Blue Green\nGreen Green Orange Orange Green Green Green Green Orange Orange Green Green\nBlack Black Orange Orange Black Black Black Black Orange Orange Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Gray Gray Black Black Black Black Gray Gray Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Black Black Green Green Green Green Black Black Green Green Green Green Black Black Green Green Green Green Black Black Green Green\nGreen Green Black Black Green Green Green Green Black Black Green Green Green Green Black Black Green Green Green Green Black Black Green Green\nGreen Blue Orange Orange Blue Green Green Blue Orange Orange Blue Green Green Blue Orange Orange Blue Green Green Blue Orange Orange Blue Green\nGreen Green Orange Orange Green Green Green Green Orange Orange Green Green Green Green Orange Orange Green Green Green Green Orange Orange Green Green\nBlack Black Orange Orange Black Black Black Black Orange Orange Black Black Black Black Orange Orange Black Black Black Black Orange Orange Black Black\nBlack Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black\nBlack Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black\n\n\nExample 2\nInput:\nGray Purple Pink Purple Gray Gray Purple Pink Purple Gray\nGray Orange Orange Orange Gray Gray Orange Orange Orange Gray\nGray Orange Orange Orange Gray Gray Orange Orange Orange Gray\nGray Gray Orange Gray Gray Gray Gray Orange Gray Gray\nOrange Pink Pink Pink Orange Orange Pink Pink Pink Orange\nOrange Orange Black Orange Orange Orange Orange Black Orange Orange\nOrange Orange Black Orange Orange Orange Orange Black Orange Orange\n\nOutput:\nGray Purple Pink Purple Gray Gray Purple Pink Purple Gray Gray Purple Pink Purple Gray Gray Purple Pink Purple Gray\nGray Orange Orange Orange Gray Gray Orange Orange Orange Gray Gray Orange Orange Orange Gray Gray Orange Orange Orange Gray\nGray Orange Orange Orange Gray Gray Orange Orange Orange Gray Gray Orange Orange Orange Gray Gray Orange Orange Orange Gray\nGray Gray Orange Gray Gray Gray Gray Orange Gray Gray Gray Gray Orange Gray Gray Gray Gray Orange Gray Gray\nOrange Pink Pink Pink Orange Orange Pink Pink Pink Orange Orange Pink Pink Pink Orange Orange Pink Pink Pink Orange\nOrange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange\nOrange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange\n\n\nExample 3\nInput:\nPurple Yellow Purple Purple Yellow Purple\nBlue Yellow Blue Blue Yellow Blue\nGreen Yellow Green Green Yellow Green\nGreen Yellow Green Green Yellow Green\nYellow Yellow Yellow Yellow Yellow Yellow\nGray Black Gray Gray Black Gray\nGray Black Gray Gray Black Gray\nGray Black Gray Gray Black Gray\nRed Black Red Red Black Red\n\nOutput:\nPurple Yellow Purple Purple Yellow Purple Purple Yellow Purple Purple Yellow Purple\nBlue Yellow Blue Blue Yellow Blue Blue Yellow Blue Blue Yellow Blue\nGreen Yellow Green Green Yellow Green Green Yellow Green Green Yellow Green\nGreen Yellow Green Green Yellow Green Green Yellow Green Green Yellow Green\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGray Black Gray Gray Black Gray Gray Black Gray Gray Black Gray\nGray Black Gray Gray Black Gray Gray Black Gray Gray Black Gray\nGray Black Gray Gray Black Gray Gray Black Gray Gray Black Gray\nRed Black Red Red Black Red Red Black Red Red Black Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Brown Blue Brown Blue Brown Black Black Brown Blue Brown Blue Brown Black\nBrown Blue Blue Pink Blue Blue Brown Brown Blue Blue Pink Blue Blue Brown\nBlack Brown Green Pink Green Brown Black Black Brown Green Pink Green Brown Black\nBlack Black Purple Green Purple Black Black Black Black Purple Green Purple Black Black\nBlack Black Red Black Red Black Black Black Black Red Black Red Black Black\nBlack Red Red Black Red Red Black Black Red Red Black Red Red Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Brown Blue Brown Blue Brown Black Black Brown Blue Brown Blue Brown Black Black Brown Blue Brown Blue Brown Black Black Brown Blue Brown Blue Brown Black\nBrown Blue Blue Pink Blue Blue Brown Brown Blue Blue Pink Blue Blue Brown Brown Blue Blue Pink Blue Blue Brown Brown Blue Blue Pink Blue Blue Brown\nBlack Brown Green Pink Green Brown Black Black Brown Green Pink Green Brown Black Black Brown Green Pink Green Brown Black Black Brown Green Pink Green Brown Black\nBlack Black Purple Green Purple Black Black Black Black Purple Green Purple Black Black Black Black Purple Green Purple Black Black Black Black Purple Green Purple Black Black\nBlack Black Red Black Red Black Black Black Black Red Black Red Black Black Black Black Red Black Red Black Black Black Black Red Black Red Black Black\nBlack Red Red Black Red Red Black Black Red Red Black Red Red Black Black Red Red Black Red Red Black Black Red Red 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Black Black 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 Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\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 Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Red Red Red Red Red Red Red Red Yellow\nYellow Red Red Red Red Red Red Red Red Yellow\nYellow Red Red Red Red Red Red Red Red Yellow\nYellow Black Red Red Red Red Red Red Red Yellow\nYellow Black Black Black Red Red Red Red Red Yellow\nYellow Black Black Black Black Red Red Red Red Yellow\nYellow Black Black Black Black Red Red Red Red Yellow\nYellow Black Black Black Black Black Red Red Red Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBrown Brown Brown Brown Brown Brown Brown\nBrown Green Green Green Green Green Brown\nBrown Green Green Black Green Green Brown\nBrown Green Black Black Black Green Brown\nBrown Green Black Black Black Green Brown\nBrown Green Green Black Green Green Brown\nBrown Green Green Black Green Green Brown\nBrown Green Black Black Black Green Brown\nBrown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Black Brown Brown Brown\nBrown Brown Black Black Black Brown Brown\nBrown Brown Black Black Black Brown Brown\nBrown Brown Brown Black Brown Brown Brown\nBrown Brown Brown Black Brown Brown Brown\nBrown Brown Black Black Black Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Black Red Red Gray\nGray Black Black Black Red Red Red Gray\nGray Black Black Red Red Red Red Gray\nGray Black Red Red Red Red Red Gray\nGray Red Red Red Red Red Black Gray\nGray Red Red Red Red Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Black Gray Gray Gray\nGray Black Black Black Gray Gray Gray Gray\nGray Black Black Gray Gray Gray Gray Gray\nGray Black Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Black Gray\nGray Gray Gray Gray Gray Black Black Gray\nGray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown Brown Brown\nBrown Green Green Green Green Brown\nBrown Black Green Green Black Brown\nBrown Green Green Green Green Brown\nBrown Green Green Green Green Brown\nBrown Brown Brown Brown Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown Black Brown Brown Black Brown\nBrown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown\nBrown 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black\n\n\nExample 2\nInput:\nBlack Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Pink Black Black\nBlack Black Black Pink Black Pink Black\nBlack Black Pink Black Black Black Pink\nBlack Pink Black Black Black Black Black\nPink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Orange Black Black\nBlack Black Black Black Black Orange Black\nBlack Black Black Black Black Black Orange\nBlack Black Black Black Black Orange Black\nBlack Black Black Black Orange Black Black\nBlack Black Black Orange Black Black Black\nBlack Black Orange Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Gray Black Black Black Black Black Gray Black\nBlack Black Gray Black Black Black Gray Black Black\nBlack Black Black Gray Black Gray Black Black Black\nBlack Black Black Black Gray Black Black Black Black\nBlack Black Black Gray Black Gray Black Black Black\nBlack Black Gray Black Black Black Gray Black Black\nBlack Gray Black Black Black Black Black Gray Black\nGray Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Purple Purple Purple Purple Purple Purple Pink\nPink Purple Purple Purple Purple Purple Purple Pink\nPink Purple Purple Purple Purple Purple Purple Pink\nPink Purple Purple Purple Purple Purple Purple Pink\nPink Purple Purple Purple Purple Purple Purple Pink\nPink Purple Purple Purple Purple Purple Purple Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Blue Blue Blue Blue Blue Yellow\nYellow Blue Blue Blue Blue Blue Yellow\nYellow Blue Blue Blue Blue Blue Yellow\nYellow Blue Blue Blue Blue Blue Yellow\nYellow Blue Blue Blue Blue Blue Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBrown Brown Brown Brown Brown Brown Brown\nBrown Yellow Yellow Yellow Yellow Yellow Brown\nBrown Yellow Yellow Yellow Yellow Yellow Brown\nBrown Yellow Yellow Yellow Yellow Yellow Brown\nBrown Yellow Yellow Yellow Yellow Yellow Brown\nBrown Yellow Yellow Yellow Yellow Yellow Brown\nBrown Yellow Yellow Yellow Yellow Yellow Brown\nBrown Yellow Yellow Yellow Yellow Yellow Brown\nBrown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Gray Gray Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Pink Yellow Pink\nOrange Pink Gray Purple\nOrange Green Green Brown\n\nOutput:\nBrown Brown Pink Pink Yellow Yellow Pink Pink\nBrown Brown Pink Pink Yellow Yellow Pink Pink\nOrange Orange Pink Pink Gray Gray Purple Purple\nOrange Orange Pink Pink Gray Gray Purple Purple\nOrange Orange Green Green Green Green Brown Brown\nOrange Orange Green Green Green Green Brown Brown\n\n\nExample 2\nInput:\nBlue Yellow Orange\nPink Green Red\nRed Gray Blue\nBlue Brown Orange\n\nOutput:\nBlue Blue Yellow Yellow Orange Orange\nBlue Blue Yellow Yellow Orange Orange\nPink Pink Green Green Red Red\nPink Pink Green Green Red Red\nRed Red Gray Gray Blue Blue\nRed Red Gray Gray Blue Blue\nBlue Blue Brown Brown Orange Orange\nBlue Blue Brown Brown Orange Orange\n\n\nExample 3\nInput:\nYellow Yellow Brown Gray\nOrange Blue Green Red\nGray Orange Pink Purple\nYellow Purple Blue Pink\n\nOutput:\nYellow Yellow Yellow Yellow Brown Brown Gray Gray\nYellow Yellow Yellow Yellow Brown Brown Gray Gray\nOrange Orange Blue Blue Green Green Red Red\nOrange Orange Blue Blue Green Green Red Red\nGray Gray Orange Orange Pink Pink Purple Purple\nGray Gray Orange Orange Pink Pink Purple Purple\nYellow Yellow Purple Purple Blue Blue Pink Pink\nYellow Yellow Purple Purple Blue Blue Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nGray Pink\nPink 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```\nGray Gray Pink Pink\nGray Gray Pink Pink\nPink Pink Green Green\nPink Pink 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:\nGreen Green Pink Gray Green Brown Gray Purple\nGreen Yellow Yellow Gray Pink Purple Red Red\nPink Pink Purple Pink Yellow Brown Pink Brown\nBlack Gray Yellow Orange Pink Green Orange Blue\nBrown Pink Pink Red Pink Black Orange Red\nRed Red Orange Green Yellow Purple Orange Purple\nPink Green Green Brown Red Pink Orange Yellow\nGray Gray Orange Yellow Purple Brown Black Orange\n\nOutput:\nGreen Green Green Green Green Green Green Green\nGreen Yellow Green Yellow Green Yellow Green Yellow\nGreen Green Green Green Green Green Green Green\nGreen Yellow Green Yellow Green Yellow Green Yellow\nGreen Green Green Green Green Green Green Green\nGreen Yellow Green Yellow Green Yellow Green Yellow\nGreen Green Green Green Green Green Green Green\nGreen Yellow Green Yellow Green Yellow Green Yellow\n\n\nExample 2\nInput:\nBlue Blue Pink Green Black Blue Red Gray\nBlue Yellow Blue Pink Brown Purple Brown Black\nOrange Purple Yellow Purple Purple Orange Orange Purple\nGray Pink Black Pink Purple Gray Red Red\nBrown Green Green Pink Green Black Orange Orange\nGray Pink Black Red Blue Gray Black Orange\nBlue Orange Yellow Gray Brown Yellow Green Orange\nBrown Gray Pink Blue Gray Pink Green Brown\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Yellow Blue Yellow Blue Yellow Blue Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Yellow Blue Yellow Blue Yellow Blue Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Yellow Blue Yellow Blue Yellow Blue Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Yellow Blue Yellow Blue Yellow Blue Yellow\n\n\nExample 3\nInput:\nYellow Red Yellow Purple Green Green Blue Brown\nYellow Blue Pink Orange Gray Pink Yellow Gray\nBrown Brown Black Orange Green Pink Red Orange\nBlack Black Purple Red Pink Yellow Blue Green\nGray Orange Brown Brown Pink Yellow Gray Orange\nBrown Purple Green Purple Gray Black Yellow Red\nYellow Brown Black Black Orange Brown Pink Orange\nBlue Purple Red Black Red Green Red Black\n\nOutput:\nYellow Red Yellow Red Yellow Red Yellow Red\nYellow Blue Yellow Blue Yellow Blue Yellow Blue\nYellow Red Yellow Red Yellow Red Yellow Red\nYellow Blue Yellow Blue Yellow Blue Yellow Blue\nYellow Red Yellow Red Yellow Red Yellow Red\nYellow Blue Yellow Blue Yellow Blue Yellow Blue\nYellow Red Yellow Red Yellow Red Yellow Red\nYellow Blue Yellow Blue Yellow Blue Yellow Blue\n\n\nHere is the input grid for the test example:\nInput:\nYellow Green Gray Brown Yellow Red Gray Purple\nBlue Red Black Gray Yellow Gray Yellow Gray\nPurple Purple Pink Gray Gray Gray Orange Purple\nGreen Black Pink Pink Gray Brown Yellow Black\nBlue Gray Brown Brown Purple Blue Orange Pink\nBlack Pink Green Orange Red Yellow Pink Blue\nGray Red Red Purple Pink Orange Orange Green\nBlack Red Brown Brown Blue Orange Orange Purple\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Green Yellow Green Yellow Green Yellow Green\nBlue Red Blue Red Blue Red Blue Red\nYellow Green Yellow Green Yellow Green Yellow Green\nBlue Red Blue Red Blue Red Blue Red\nYellow Green Yellow Green Yellow Green Yellow Green\nBlue Red Blue Red Blue Red Blue Red\nYellow Green Yellow Green Yellow Green Yellow Green\nBlue Red Blue Red Blue Red Blue 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:\nYellow Yellow Black Black Black Black Black Black Brown Brown\nYellow Yellow Black Black Black Black Black Black Brown Brown\nBlack Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black\nBlack Black Brown Brown Purple Purple Brown Brown Black Black\nBlack Black Brown Brown Purple Purple Brown Brown Black Black\nBlack Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black\nPurple Purple Black Black Black Black Black Black Blue Blue\nPurple Purple Black Black Black Black Black Black Blue Blue\n\nOutput:\nYellow Yellow Black Black Brown Brown\nYellow Yellow Black Black Brown Brown\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nPurple Purple Black Black Blue Blue\nPurple Purple Black Black Blue Blue\n\n\nExample 2\nInput:\nOrange Orange Black Black Black Black Black Black Green Green\nOrange Orange Black Black Black Black Black Black Green Green\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nPink Pink Black Black Black Black Black Black Purple Purple\nPink Pink Black Black Black Black Black Black Purple Purple\n\nOutput:\nOrange Orange Black Black Green Green\nOrange Orange Black Black Green Green\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nPink Pink Black Black Purple Purple\nPink Pink Black Black Purple Purple\n\n\nExample 3\nInput:\nPink Pink Black Black Black Black Black Black Gray Gray\nPink Pink Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black\nBlack Black Pink Pink Red Red Purple Purple Black Black\nBlack Black Pink Pink Red Red Purple Purple Black Black\nBlack Black Black Black Purple Purple Pink Pink Black Black\nBlack Black Black Black Purple Purple Pink Pink Black Black\nBlue Blue Black Black Black Black Black Black Green Green\nBlue Blue Black Black Black Black Black Black Green Green\n\nOutput:\nPink Pink Black Black Gray Gray\nPink Pink Black Black Gray Gray\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlue Blue Black Black Green Green\nBlue Blue Black Black Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Black Black Black Black Black Black Red Red\nBrown Brown Black Black Black Black Black Black Red Red\nBlack Black Green Green Orange Orange Brown Brown Black Black\nBlack Black Green Green Orange Orange Brown Brown Black Black\nBlack Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Black Black\nBlack Black Green Green Orange Orange Brown Brown Black Black\nBlack Black Green Green Orange Orange Brown Brown Black Black\nPurple Purple Black Black Black Black Black Black Gray Gray\nPurple Purple Black Black Black Black Black Black Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Black Black Red Red\nBrown Brown Black Black Red Red\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nPurple Purple Black Black Gray Gray\nPurple Purple Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\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\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Yellow Black Black Black Black Black Black\nGreen Green Black Black Black Blue Blue Black Black Black Black\nGreen Green Black Brown Brown Blue Blue Black Green Green Black\nBlack Black Black Brown Brown Blue Blue Black Green Green Black\nBlack Green Black Brown Brown Black Black Black Green Green Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Red Red Red Black\nBlack Black Red Red Black Black Black Red Red Red Black\nBlack Black Black Black Pink Pink Black Red Red Red Red\n\nOutput:\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nRed Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Orange\nBlack Black Black Black Black Black Black Green Green Black Black\nBlack Black Purple Purple Purple Black Black Green Green Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black\nBlue Black Black Gray Gray Gray Black Black Black Black Black\nBlue Black Black Black Gray Gray Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Blue\n\nOutput:\nBlack Black\nBlack Black\nBlack Black\nBlue Black\n\n\nExample 3\nInput:\nOrange Orange Black Black Black Pink Pink Pink Black Black Black\nOrange Orange Pink Black Orange Orange Black Black Green Black Black\nOrange Orange Orange Orange Orange Orange Black Black Green Red Red\nBlack Black Orange Orange Orange Orange Black Black Green Black Black\nBlack Black Orange Orange Gray Gray Gray Blue Blue Black Black\nBlack Black Black Black Gray Gray Gray Blue Blue Black Black\nOrange Black Black Black Black Black Black Blue Blue Black Black\nOrange Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Red Red Red\n\nOutput:\nBlack Black\nBlack Black\nRed Black\n\n\nHere is the input grid for the test example:\nInput:\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Pink Pink Pink Black Brown Black Blue Blue Black\nBlack Black Pink Pink Pink Pink Black Brown Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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```\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nRed Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by 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 Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Black Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Black Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Black Black Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Black Black Blue Blue Blue Black\nBlack 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\nBlack Black 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 Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Black Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Black Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Black Black Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Black Black Blue Blue Blue Black\nBlack 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\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue 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 Blue Blue Blue Black\nBlue Blue Blue Black Black Black Black Black Blue Blue Blue Black\nBlue Blue Blue Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black 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\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\nBlue Blue Blue Black Black Black Black Blue Blue Blue Blue Black\nBlue Blue Blue Black Black Black Black Blue Blue Blue Blue Black\nBlue Blue Blue Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black 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\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 Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Blue Blue Blue\nBlack Black Blue Blue Blue Black Black Black Black Blue Blue Blue\nBlack Black Blue Blue Blue Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Blue Blue Blue Black Black Black Black Blue Blue Blue\nBlack Black Blue Blue Blue Black Black Black Black Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue 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\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by 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 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 Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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 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 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\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray\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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Purple Purple Orange Orange Orange Orange Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Purple Purple 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Purple Purple Orange Orange Orange Orange Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Purple Purple 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Orange Orange Blue Blue Purple Purple Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Orange Orange Blue Blue Purple Purple Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Orange Orange Blue Blue Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Orange Orange Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Orange Orange Blue Blue Purple Purple Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black Orange Orange Blue Blue Purple Purple Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Yellow Yellow Black Black Yellow Yellow Blue Blue Brown Brown Blue Blue Black Black Orange Orange Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Yellow Yellow Black Black Yellow Yellow Blue Blue Brown Brown Blue Blue Black Black Orange Orange Black Black Black Black\nBlack Black Orange Orange Yellow Yellow Black Black Black Black Blue Blue Brown Brown Black Black Black Black Black Black Blue Blue Black Black Brown Brown Black Black\nBlack Black Orange Orange Yellow Yellow Black Black Black Black Blue Blue Brown Brown Black Black Black Black Black Black Blue Blue Black Black Brown 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Yellow Yellow Orange Orange Brown Brown Yellow Yellow Black Black Brown Brown Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Yellow Yellow Orange Orange Brown Brown Yellow Yellow Black Black Brown Brown Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Brown Brown Brown Brown Black Black Yellow Yellow Black Black Black Black Orange Orange Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Yellow Yellow Brown Brown Brown Brown Black Black Yellow Yellow Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Yellow Yellow Black Black Yellow Yellow Blue Blue Brown Brown Blue Blue Black Black Orange Orange Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Yellow Yellow Black Black Yellow Yellow Blue Blue Brown Brown Blue Blue 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Gray Gray Pink Pink Black Black Black Black Pink Pink Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Gray Gray Pink Pink Black Black Black Black Pink Pink Black Black Brown 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Brown Brown Pink Pink Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Brown Brown Pink Pink Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Gray Gray Pink Pink Black Black Black Black Pink Pink Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Black Black Black Black Gray Gray Pink Pink Black Black Black Black Pink Pink Black Black Brown 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Orange Pink Yellow Pink Brown Purple Gray\nPink Orange Brown Green Green Orange Orange Brown\n\nOutput:\nOrange Pink Red Pink Brown Purple Gray Purple\nOrange Brown Blue Blue Orange Orange Brown Pink\n\n\nExample 2\nInput:\nOrange Yellow Blue Red Green Pink Blue Gray Red Orange\nBrown Blue Purple Brown Gray Brown Brown Purple Purple Brown\nPink Orange Blue Orange Brown Pink Green Green Yellow Yellow\n\nOutput:\nRed Yellow Green Blue Pink Yellow Gray Green Orange Orange\nYellow Purple Brown Gray Brown Brown Purple Purple Brown Brown\nOrange Yellow Orange Brown Pink Blue Blue Red Red Pink\n\n\nExample 3\nInput:\nGray Brown Yellow Yellow Red Green Blue Orange Purple Pink Orange\nGray Pink Blue Purple Yellow Orange Green Purple Blue Blue Brown\nGreen Orange Gray Red Yellow Pink Purple Orange Gray Pink Purple\n\nOutput:\nBrown Red Red Green Blue Yellow Orange Purple Pink Orange Gray\nPink Yellow Purple Red Orange Blue Purple Yellow Yellow Brown Gray\nOrange Gray Green Red Pink Purple Orange Gray Pink Purple Blue\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Green Pink Brown Gray Brown Blue Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Blue Pink Brown Gray Brown Yellow Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black\nBlack Black Green Green Yellow Black Black Black Black Black\nBlack Black Green Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Yellow Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Brown Green Green Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Pink Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Gray 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Pink Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by 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 Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\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 Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nRed Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nRed Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Red Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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```\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nRed Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nRed Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Blue Blue Purple Blue Blue Brown Blue Yellow Blue Yellow\nYellow Brown Purple Blue Blue Blue Blue Blue Purple Blue Yellow Blue Purple\nYellow Yellow Brown Purple Blue Purple Blue Blue Brown Blue Blue Brown Yellow\nBrown Brown Brown Blue Blue Blue Blue Purple Brown Brown Yellow Blue Blue\nBlue Yellow Purple Brown Blue Purple Blue Blue Yellow Yellow Yellow Brown Blue\nYellow Yellow Blue Yellow Yellow Purple Purple Brown Purple Purple Brown Blue Yellow\nBlue Yellow Purple Brown Purple Yellow Yellow Yellow Purple Blue Yellow Purple Blue\nBlue Purple Yellow Blue Purple Blue Blue Yellow Blue Blue Brown Purple Blue\nBlue Blue Yellow Brown Blue Yellow Brown Purple Brown Blue Purple Blue Blue\nBrown Blue Blue Purple Purple Brown Brown Brown Blue Blue Blue Brown Brown\nBlue Brown Yellow Brown Blue Yellow Purple Brown Yellow Blue Purple Purple Yellow\nBrown Blue Purple Yellow Yellow Blue Purple Yellow Blue Purple Brown Yellow Yellow\nBrown Yellow Blue Brown Yellow Blue Yellow Purple Brown Blue Purple Blue Purple\nPurple Yellow Yellow Brown Yellow Purple Brown Brown Purple Purple Yellow Brown Brown\nBlue Blue Yellow Brown Purple Blue Blue Yellow Purple Purple Yellow Blue Blue\nPurple Yellow Blue Yellow Yellow Yellow Blue Purple Brown Brown Blue Brown Blue\nBrown Brown Brown Blue Purple Brown Yellow Blue Yellow Brown Blue Yellow Yellow\n\nOutput:\nPurple Purple Purple Blue Blue Purple Blue Blue Brown Blue Yellow Blue Yellow\nYellow Brown Purple Blue Blue Blue Blue Blue Purple Blue Yellow Blue Purple\nYellow Yellow Brown Purple Blue Purple Blue Blue Brown Blue Blue Brown Yellow\nBrown Brown Brown Blue Blue Blue Blue Purple Brown Brown Yellow Blue Blue\nBlue Yellow Purple Brown Blue Purple Blue Blue Yellow Yellow Yellow Brown Blue\nYellow Yellow Blue Yellow Yellow Purple Purple Brown Purple Purple Brown Blue Yellow\nBlue Yellow Purple Brown Purple Yellow Yellow Yellow Purple Blue Yellow Purple Blue\nBlue Purple Yellow Blue Purple Blue Blue Yellow Blue Blue Brown Purple Blue\nBlue Blue Yellow Brown Blue Yellow Brown Purple Brown Blue Purple Blue Blue\nBrown Blue Blue Purple Purple Brown Green Brown Blue Blue Blue Brown Brown\nBlue Brown Yellow Brown Blue Yellow Purple Brown Yellow Blue Purple Purple Yellow\nBrown Blue Purple Yellow Yellow Blue Purple Yellow Blue Purple Brown Yellow Yellow\nBrown Yellow Blue Brown Yellow Blue Yellow Purple Brown Blue Purple Blue Purple\nPurple Yellow Yellow Brown Yellow Purple Brown Brown Purple Purple Yellow Brown Brown\nBlue Blue Yellow Brown Purple Blue Blue Yellow Purple Purple Yellow Blue Blue\nPurple Yellow Blue Yellow Yellow Yellow Blue Purple Brown Brown Blue Brown Blue\nBrown Brown Brown Blue Purple Brown Yellow Blue Yellow Brown Blue Yellow Yellow\n\n\nExample 2\nInput:\nPurple Purple Blue Blue Blue Blue Blue Pink Purple Pink Orange Purple\nOrange Orange Orange Blue Green Purple Blue Green Purple Pink Orange Pink\nPurple Green Orange Blue Pink Green Blue Purple Purple Pink Pink Green\nPink Purple Blue Blue Blue Blue Blue Orange Pink Green Green Pink\nOrange Purple Pink Blue Green Pink Blue Orange Purple Orange Pink Purple\nPink Purple Purple Orange Orange Orange Pink Pink Orange Purple Green Orange\nPink Orange Pink Pink Pink Green Orange Green Pink Green Green Purple\nPink Orange Green Green Pink Green Orange Pink Green Purple Green Orange\nPurple Pink Green Pink Orange Green Purple Orange Pink Green Green Green\nOrange Pink Green Purple Orange Pink Pink Pink Green Orange Purple Green\nPink Green Green Green Pink Purple Orange Pink Purple Purple Purple Orange\nPurple Orange Green Orange Orange Orange Purple Green Pink Purple Green Green\nPink Purple Green Pink Green Purple Purple Orange Pink Purple Green Purple\nPurple Pink Pink Orange Purple Purple Orange Orange Orange Orange Pink Orange\nPurple Purple Purple Orange Green Purple Orange Pink Purple Pink Pink Green\n\nOutput:\nPurple Purple Blue Blue Blue Blue Blue Pink Purple Pink Orange Purple\nOrange Orange Orange Blue Green Purple Blue Green Purple Pink Orange Pink\nPurple Green Orange Blue Pink Green Blue Purple Purple Pink Pink Green\nPink Purple Blue Blue Blue Blue Blue Orange Pink Green Green Pink\nOrange Purple Pink Blue Green Pink Blue Orange Purple Orange Pink Purple\nPink Purple Purple Orange Orange Orange Pink Pink Orange Purple Green Orange\nPink Orange Pink Pink Pink Green Orange Green Pink Green Green Purple\nPink Orange Green Green Pink Green Orange Pink Green Purple Green Orange\nPurple Pink Green Pink Orange Green Purple Orange Pink Green Green Green\nOrange Pink Green Purple Orange Pink Pink Pink Green Orange Purple Green\nPink Green Green Green Pink Purple Orange Pink Purple Green Purple Orange\nPurple Orange Green Orange Orange Orange Purple Green Pink Green Green Green\nPink Purple Green Pink Green Green Purple Orange Pink Purple Green Purple\nPurple Pink Pink Orange Purple Green Orange Green Green Orange Pink Orange\nPurple Purple Purple Orange Green Purple Orange Pink Purple Pink Pink Green\n\n\nExample 3\nInput:\nGray Gray Gray Pink Pink Pink Pink Pink Gray Gray Gray Gray\nGray Pink Gray Pink Pink Pink Gray Gray Pink Pink Gray Pink\nGray Gray Pink Gray Pink Gray Gray Pink Gray Pink Pink Pink\nGray Pink Gray Pink Gray Gray Pink Pink Gray Gray Pink Pink\nGray Gray Pink Pink Gray Pink Pink Gray Pink Gray Pink Gray\nPink Gray Pink Pink Gray Pink Pink Gray Pink Gray Gray Pink\nPink Gray Gray Pink Gray Pink Blue Blue Blue Pink Pink Pink\nGray Gray Gray Pink Gray Gray Blue Blue Blue Gray Pink Pink\nPink Pink Pink Gray Gray Gray Pink Blue Blue Pink Pink Pink\nGray Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray\nPink Gray Pink Gray Pink Gray Gray Gray Gray Pink Gray Gray\nGray Gray Pink Gray Gray Pink Gray Gray Pink Pink Gray Gray\nPink Pink Pink Pink Gray Gray Gray Pink Gray Pink Gray Gray\nPink Pink Gray Gray Gray Pink Gray Gray Gray Pink Gray Pink\nPink Gray Gray Pink Pink Gray Gray Gray Pink Pink Pink Pink\nGray Gray Pink Gray Gray Pink Gray Pink Gray Pink Gray Pink\n\nOutput:\nGray Gray Gray Pink Pink Pink Pink Pink Gray Gray Gray Gray\nGray Pink Gray Pink Pink Pink Gray Gray Pink Pink Gray Pink\nGray Gray Pink Gray Pink Gray Gray Pink Gray Pink Pink Pink\nGray Pink Gray Pink Gray Gray Green Pink Gray Green Pink Pink\nGray Gray Pink Pink Gray Pink Green Gray Pink Green Pink Gray\nPink Gray Pink Pink Gray Pink Green Gray Pink Gray Gray Pink\nPink Gray Gray Pink Gray Pink Blue Blue Blue Pink Pink Pink\nGray Gray Gray Pink Gray Gray Blue Blue Blue Gray Pink Pink\nPink Pink Pink Gray Gray Gray Pink Blue Blue Pink Pink Pink\nGray Pink Pink Pink Gray Gray Gray Pink Pink Pink Gray Gray\nPink Gray Pink Gray Pink Gray Gray Gray Gray Pink Gray Gray\nGray Gray Pink Gray Gray Pink Gray Gray Pink Pink Gray Gray\nPink Pink Pink Pink Gray Gray Gray Pink Gray Pink Gray Gray\nPink Pink Gray Gray Gray Pink Gray Gray Gray Pink Gray Pink\nPink Gray Gray Pink Pink Gray Gray Gray Pink Pink Pink Pink\nGray Gray Pink Gray Gray Pink Gray Pink Gray Pink Gray Pink\n\n\nHere is the input grid for the test example:\nInput:\nBrown Gray Red Brown Brown Brown Red Red Red Red Gray Brown Red Brown\nBrown Brown Red Gray Brown Brown Red Gray Red Gray Gray Brown Brown Red\nGray Gray Gray Gray Brown Red Gray Gray Red Brown Gray Red Red Brown\nBrown Red Red Brown Red Red Gray Gray Brown Brown Red Red Red Red\nRed Gray Gray Brown Brown Red Gray Brown Gray Brown Gray Brown Brown Gray\nRed Gray Brown Brown Red Brown Brown Brown Brown Red Brown Red Gray Brown\nBrown Blue Blue Blue Blue Blue Red Gray Red Gray Brown Brown Brown Red\nGray Brown Blue Red Gray Blue Red Gray Brown Red Red Brown Brown Red\nBrown Red Blue Brown Red Blue Brown Brown Brown Brown Gray Brown Brown Gray\nGray Blue Blue Blue Blue Blue Gray Gray Gray Brown Red Brown Red Red\nGray Red Blue Red Gray Blue Brown Gray Gray Red Gray Red Gray Red\nBrown Gray Red Red Gray Red Brown Brown Red Brown Red Brown Red Brown\nRed Gray Gray Gray Brown Red Red Brown Gray Red Gray Gray Gray Red\nGray Gray Brown Gray Red Gray Gray Red Red Red Gray Red 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```\nBrown Gray Red Brown Brown Brown Red Red Red Red Gray Brown Red Brown\nBrown Brown Red Gray Green Brown Red Gray Red Gray Gray Brown Brown Red\nGray Gray Gray Gray Brown Red Gray Gray Red Brown Gray Red Red Brown\nBrown Red Red Brown Red Red Gray Gray Brown Brown Red Red Red Red\nRed Gray Gray Green Brown Red Gray Brown Gray Brown Gray Brown Brown Gray\nRed Gray Brown Brown Red Brown Brown Brown Brown Red Brown Red Gray Brown\nBrown Blue Blue Blue Blue Blue Red Gray Red Gray Brown Green Brown Red\nGray Brown Blue Red Gray Blue Red Gray Brown Red Red Green Brown Red\nBrown Red Blue Brown Red Blue Brown Green Green Brown Gray Green Brown Gray\nGray Blue Blue Blue Blue Blue Gray Gray Gray Brown Red Brown Red Red\nGray Red Blue Red Gray Blue Brown Gray Gray Red Gray Red Gray Red\nBrown Gray Red Red Gray Red Brown Brown Red Brown Red Brown Red Brown\nRed Green Green Gray Brown Red Red Brown Gray Red Gray Gray Gray Red\nGray Gray Brown Gray Red Gray Gray Red Red Red Gray Red 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:\nBrown Brown Brown Brown Black\nOrange Brown Brown Brown Orange\nBlack Brown Brown Brown Orange\nBrown Brown Orange Black Orange\nBrown Black Black Orange Black\n\nOutput:\nOrange Orange\nOrange Orange\n\n\nExample 2\nInput:\nOrange Orange Black Black Black\nBrown Black Black Black Brown\nBrown Brown Brown Brown Black\nOrange Brown Brown Brown Brown\nBlack Brown Brown Brown Black\n\nOutput:\nOrange Orange\nOrange Orange\n\n\nExample 3\nInput:\nOrange Black Orange Brown Brown\nBlack Black Black Black Brown\nBlack Black Brown Brown Brown\nBrown Brown Brown Brown Brown\nOrange Brown Brown Brown Brown\n\nOutput:\nOrange Orange\nOrange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Brown Brown Brown Brown\nBlack Black Brown Brown Brown\nBlack Black Brown Brown Brown\nBlack Black Black Black Brown\nBlack Black Orange Black Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange\nOrange Orange\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Black Black Black\nYellow Yellow Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Green Green Black\nBlack Black Black Black Black Green Green Black\nBlack Green Green Black Black Black Black Black\nBlack Green Green Black Black Black Green Green\nBlack Black Black Black Black Black Green Green\nBlack Black Black Green Green Black Black Black\nBlack Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Green Green Black Green Green Black\nBlack Black Green Green Black Green Green Black\nBlack Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Green Green\nBlack Black Green Green Black Black Green Green\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\nGreen Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange\nOrange Orange Orange Orange\nOrange Orange Orange Orange\nOrange Orange Orange Orange\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Purple Black Black Black Black Black Black\nBlack Orange Black Purple Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\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 Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Orange Black Black Black Black Black\nBlack Black Black Black Orange Purple Black Black Black\nBlack Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Green Black Green Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Green Black Black Black\nBlack Black Black Green Black Green Black Black Black Black Green Green Black Black Black Black Green\nGreen Black Green Green Green Black Black Green Black Black Green Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Green Black Black Green Green Black Green Black Red\nBlack Green Black Black Black Green Black Black Black Green Black Black Black Black Black Black Red\nBlack Black Green Black Black Black Green Black Black Black Green Black Black Black Green Black Red\nBlack Black Green Green Green Black Black Black Black Green Green Black Black Black Black Green Red\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Green Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\n\nOutput:\nRed Red Red Red Red Red Red Red 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\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Yellow Black Yellow Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Yellow Black Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow\nYellow Black Yellow Yellow Yellow Black Black Yellow Black Black Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Yellow Black Black Yellow Yellow Black Yellow Black Red\nBlack Yellow Black Black Black Yellow Black Black Black Yellow Black Black Black Black Black Black Red\nBlack Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Red\nBlack Black Yellow Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Yellow Red\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Yellow Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red\n\n\nExample 2\nInput:\nRed Red Red Red Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Green Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black Green Black\nGreen Black Green Black Black Black Black Green Green Black Black Black Black Black Green\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Green Black Black Black Black Green Black Black Black Black Black Green\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Green Black Green Green Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Black Black Green\nBlack Black Black Black Green Black Black Black Black Black Black Black Green Black Red\nBlack Black Black Black Green Black Black Green Black Black Black Black Black Black Red\n\nOutput:\nRed Red Red Red Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Yellow Black\nYellow Black Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Yellow\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Yellow Black Black Black Black Yellow Black Black Black Black Black Yellow\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Black Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Yellow\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Yellow Black Red\nBlack Black Black Black Yellow Black Black Yellow Black Black Black Black Black Black Red\n\n\nExample 3\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black Black Green\nBlack Black Green Black Black Black Black Green Black Black Black Black Black Black Black Red\nBlack Black Black Green Black Black Black Black Black Black Black Green Black Black Black Red\nBlack Black Black Black Black Black Black Green Black Black Green Black Green Black Black Red\nGreen Black Black Black Black Black Black Green Black Black Black Black Black Black Green Red\nGreen Black Black Black Black Green Green Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Green Green Black Black Green Black Black Green Black Black Black Red\nBlack Black Green Green Black Black Green Black Black Black Black Black Green Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Red\nBlack Green Black Green Black Black Black Green Black Green Black Black Black Black Black Red\nBlack Black Green Black Black Black Black Black Green Black Black Black Black Green Black Red\nBlack Black Black Black Black Black Green Black Black Black Green Black Black Black Black Red\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black Black Yellow\nBlack Black Yellow Black Black Black Black Yellow Black Black Black Black Black Black Black Red\nBlack Black Black Yellow Black Black Black Black Black Black Black Yellow Black Black Black Red\nBlack Black Black Black Black Black Black Yellow Black Black Yellow Black Yellow Black Black Red\nYellow Black Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow Red\nYellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Yellow Yellow Black Black Yellow Black Black Yellow Black Black Black Red\nBlack Black Yellow Yellow Black Black Yellow Black Black Black Black Black Yellow Black Black Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Red\nBlack Yellow Black Yellow Black Black Black Yellow Black Yellow Black Black Black Black Black Red\nBlack Black Yellow Black Black Black Black Black Yellow Black Black Black Black Yellow Black Red\nBlack Black Black Black Black Black Yellow Black Black Black Yellow Black Black Black Black Red\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 Black\nBlack Green Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Green Black Black Green Green Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Green\nBlack Black Green Black Black Black Black Black Green Black Black Green Black Red\nBlack Green Black Black Black Green Black Black Green Black Black Black Black Red\nBlack Black Black Black Black Green Black Black Green Black Black Black Green Red\nBlack Black Black Black Black Green Green Green Black Black Black Black Black Red\nGreen Black Green Black Black Black Black Black Black Black Black Black Green Red\nBlack Black Green Black Green Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Green Black Green Black Black Green Black Black Red\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Green 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```\nRed Red Red Red Red Red Red Red Red Red Red Red Red Black\nBlack Yellow Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Yellow Black Black Yellow Yellow Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Yellow\nBlack Black Yellow Black Black Black Black Black Yellow Black Black Yellow Black Red\nBlack Yellow Black Black Black Yellow Black Black Yellow Black Black Black Black Red\nBlack Black Black Black Black Yellow Black Black Yellow Black Black Black Yellow Red\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Red\nYellow Black Yellow Black Black Black Black Black Black Black Black Black Yellow Red\nBlack Black Yellow Black Yellow Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Yellow Black Yellow Black Black Yellow Black Black Red\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Black Yellow 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:\nPurple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nPink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nOrange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Brown Brown Brown Brown Brown Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black\nPink Pink Pink Pink Pink Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Black Black\nGray Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nGreen Green Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black\nOrange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by 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 Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Brown Brown Brown Orange Orange Orange Black Black Black Black\nPurple Purple Purple Brown Brown Brown Orange Orange Orange Black Black Black Black\nPurple Purple Purple Brown Brown Brown Orange Orange Orange Black Black Black Black\nPurple Purple Purple Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nGray Gray Gray Black Black Pink Pink Pink Pink Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Blue Blue Blue\nBlack Black Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Red Red Red Pink Pink Pink Black Black Green Green Green\nBlack Red Red Red Pink Pink Pink Black Black Green Green Green\nBlack Red Red Red Black Black Black Black Black Green Green Green\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Black Black Black Black Black Green Green Green Black Black\nBlack Blue Blue Blue Brown Brown Brown Brown Black Green Green Green Black Black\nBlack Blue Blue Blue Brown Brown Brown Brown Black Green Green Green Black Black\nRed Red Red Black Brown Brown Brown Brown Black Black Black Black Black Black\nRed Red Red Black Brown Brown Brown Brown Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow 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 Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Brown 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\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 Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray\nBlack Brown Brown Brown Black Black Black Gray Gray Gray Black Gray Gray Gray\nBlack Brown Brown Brown Black Black Black Gray Gray Gray Black Gray Gray Gray\nBlack Brown Brown Brown Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Green Green Green Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Green Green Green Green Green Green Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green 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 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 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 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 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 Green Green Green Green Green Green 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 Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Green Green Green Green Green Green Green Green Green Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red\nBlack Black Black Black Black Black Green Green 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 Green Green 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 Green Green 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green 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 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 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 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 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 Green Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red 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 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 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 Green Green Green Green Green Green Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red Red Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Red Red Red Green Green Green Red Red Red Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Red Red Red Green Green Green Red Red Red Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Red Red Red Green Green Green Red Red Red Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Red Red Red Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green 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 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 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 Green Green Green Green Green Green Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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```\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nRed Red Red Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nRed Red Red Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack 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 Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black\nBlack Blue Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Blue Black\nBlack Black Blue 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 Brown Black Brown Black\nBlack Black Black Black Black Green Black Black\nBlack Black Black Black Brown Black Brown Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black\nBlack Pink Black Black Pink Blue Pink Black\nPink Blue Pink Black Black Pink Black Black\nBlack Green Black Black Black Black Black Black\nBrown Black Brown Black Black Black Pink Black\nBlack Green Pink Black Black Pink Blue Pink\nBrown Pink Blue Pink Black Black Pink Black\nBlack Black Pink 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 Green Black Black Black Black\nBlack Green Black Green Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Black Brown Black Brown Green Black Black Black Black\nBlack Green Black Green Brown Black Brown Black Black Black\nBrown Black Brown Pink Blue Pink Black Black Pink Pink\nBlack Black Black Black Pink Black Black Pink Blue Blue\nBlack Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Brown Black Brown\nBlack Black Black Black Black Black Black Pink Black Green Black\nBlack Black Black Black Black Black Pink Blue Brown Black Brown\nBlack Black Black Black Black Black Black Pink Black 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 Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Blue Black Black\nBlue Black Black Black Black Black Black Black Black\nBlack Black Black 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 Green Black Black Black Black Black\nBlack Black Brown Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Pink Black Black\nGreen Black Black Black Black Pink Blue Pink Black\nBlue Brown Black Black Black Black Pink Black Black\nPink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red 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\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Green Green Green Green Green Green\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Green\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black 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 Black 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 Black 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 Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black 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```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black 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 Black 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 Black 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 Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Green Green Green Green Green Green\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Green Green Green Green Green Green\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Green Green Green Green Green Green\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Green Green Green Green Green Green\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Green Green Green Green Green Green\nBlack Black Black Red Red Red Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Green Green Green Green Green Green\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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:\nGreen Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Green Green Green Green Green Green Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black\n\n\nExample 3\nInput:\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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```\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nRed Red Red Red Red Red Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black\nBlack 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 Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\n\nOutput:\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack 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 Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\n\n\nExample 2\nInput:\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow 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 Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink\n\nOutput:\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange\n\n\nExample 3\nInput:\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\n\nOutput:\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black 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\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nGreen Green Green Green Black Green Black Black Black Black\nGreen Black Black Black Black Green Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Black Yellow Black Black Black Black\nYellow Black Black Black Black Yellow Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Green Green\nBlack Black Black Black Green Black Black Black Black Green\nGreen Green Black Black Black Black Black Black Black Green\nBlack Green Green Black Black Black Black Black Black Green\nBlack Black Green Black Black Black Black Black Black Black\nBlack Black Green 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 Yellow Yellow Yellow Yellow Black Black Yellow Yellow\nBlack Black Black Black Yellow Black Black Black Black Yellow\nYellow Yellow Black Black Black Black Black Black Black Yellow\nBlack Yellow Yellow Black Black Black Black Black Black Yellow\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Green Green Green Green\nGreen Green Black Black Black Black Black Black Black Green\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 Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Yellow Yellow Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Black Yellow\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 Green Black Black Black Black Black Black\nBlack Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by 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 Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Purple Black Black Black\nBlack Black Black Black Brown Gray Orange Black Black Black\nBlack Black Black Black Brown Gray Orange Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Purple Gray Gray Green Brown Brown Brown\nBrown Brown Brown Orange Gray Brown Orange Brown Brown Brown\nBrown Brown Brown Orange Gray Brown Orange Brown Brown Brown\nBrown Brown Brown Blue Blue Blue Blue Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Gray Gray Gray Black Black Black Black Black\nBlack Pink Pink Red Orange Black Black Black Black Black\nBlack Pink Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Pink Gray Gray Gray Gray Gray Gray Pink Brown\nBrown Pink Pink Gray Orange Orange Red Pink Pink Brown\nBrown Pink Gray Gray Gray Gray Gray Gray Pink Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Orange Blue Pink Black Black\nBlack Black Black Black Blue Orange Blue Pink Black Black\nBlack Black Black Black Pink Orange Blue Pink 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Pink Blue Orange Blue Blue Pink Brown Brown\nBrown Brown Pink Blue Orange Blue Blue Pink Brown Brown\nBrown Brown Pink Blue Orange Pink Blue Pink Brown Brown\nBrown Brown Blue Blue Blue Blue Blue Blue Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Yellow 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```\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Yellow Yellow Brown Brown Blue Blue Brown Brown\nBrown Brown Yellow Yellow Brown Brown Blue Blue Brown Brown\nBrown 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 Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Green Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Purple Purple Black Black Black Black Black\nGray Gray Black Black Black Black Black Red Red Purple Purple Black Black Black Black Black\nGray Gray Black Black Black Black Black Red Red Purple Purple Black Black Black Black Black\nGray Gray Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Green Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Purple Purple Black Black Black Black Black\nGray Gray Black Black Black Black Black Red Red Purple Purple Black Black Black Black Black\nGray Gray Black Black Black Black Black Red Red Purple Purple Black Black Black Black Black\nGray Gray Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Orange Black Pink Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Pink Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Pink Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Pink Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black\nPink Pink Pink Pink Black Black Black Black Black Orange Orange Orange Black Black\nPink Pink Pink Pink Black Black Black Black Black Orange Orange Orange Black Black\nBlack Pink Pink 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack 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\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Yellow Yellow Yellow Black Green Green Green Green Blue Blue Blue Blue Black\nBlack Black Yellow Yellow Yellow Black Green Green Green Green Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Yellow Yellow Yellow Black Green Green Green Green Blue Blue Blue Blue Black\nBlack Black Yellow Yellow Yellow Black Green Green Green Green Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Orange Yellow Yellow Yellow Yellow\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Blue Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Blue Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\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 Red Red Red Black Black Black Black\nBlack Red Red Red Black Black Black Black\nBlack Red Red Red Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black\nRed Red Red Black Black Black Black Black\nRed Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Red Red Black Black Black Black\nBlack Red Red Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Red Red Black\nBlack Black Black Black 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\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Red Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Red Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Red Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Brown Black Black Blue Blue Black Black Black Black Black Black Blue Blue Brown Brown Black Black Black Black Brown Brown Blue Blue Pink Pink\nBrown Brown Black Black Blue Blue Black Black Black Black Black Black Blue Blue Brown Brown Black Black Black Black Brown Brown Blue Blue Pink Pink\nBlack Black Brown Brown Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Brown Brown Blue Blue Pink Pink Blue Blue\nBlack Black Brown Brown Black Black Blue Blue Black Black Black Black Black Black Black Black Blue Blue Brown Brown Blue Blue Pink Pink Blue Blue\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Blue Blue Black Black Brown Brown Black Black Black Black Brown Brown Pink Pink Brown Brown Blue Blue\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Blue Blue Black Black Brown Brown Black Black Black Black Brown Brown Pink Pink Brown Brown Blue Blue\nYellow Yellow Brown Brown Brown Brown Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Pink Pink Black Black Blue Blue Brown Brown\nYellow Yellow Brown Brown Brown Brown Black Black Blue Blue Black Black Black Black Black Black Yellow Yellow Pink Pink Black Black Blue Blue Brown Brown\nBrown Brown Black Black Yellow Yellow Black Black Yellow Yellow Brown Brown Black Black Yellow Yellow Pink Pink Brown Brown Black Black Brown Brown Black Black\nBrown Brown Black Black Yellow Yellow Black Black Yellow Yellow Brown Brown Black Black Yellow Yellow Pink Pink Brown Brown Black Black Brown Brown Black Black\nBlue Blue Black Black Yellow Yellow Brown Brown Black Black Yellow Yellow Brown Brown Pink Pink Yellow Yellow Black Black Brown Brown Blue Blue Yellow Yellow\nBlue Blue Black Black Yellow Yellow Brown Brown Black Black Yellow Yellow Brown Brown Pink Pink Yellow Yellow Black Black Brown Brown Blue Blue Yellow Yellow\nYellow Yellow Black Black Brown Brown Blue Blue Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow Black Black Yellow Yellow Blue Blue Yellow Yellow\nYellow Yellow Black Black Brown Brown Blue Blue Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow Black Black Yellow Yellow Blue Blue Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Pink Pink Yellow Yellow Brown Brown Brown Brown Black Black Yellow Yellow Yellow Yellow Blue Blue\nBlack Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Pink Pink Yellow Yellow Brown Brown Brown Brown Black Black Yellow Yellow Yellow Yellow Blue Blue\nYellow Yellow Blue Blue Blue Blue Black Black Pink Pink Black Black Black Black Black Black Blue Blue Brown Brown Brown Brown Blue Blue Black Black\nYellow Yellow Blue Blue Blue Blue Black Black Pink Pink Black Black Black Black Black Black Blue Blue Brown Brown Brown Brown Blue Blue Black Black\nBlue Blue Brown Brown Blue Blue Pink Pink Black Black Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Black Black Yellow Yellow\nBlue Blue Brown Brown Blue Blue Pink Pink Black Black Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Black Black Yellow Yellow\nBrown Brown Blue Blue Pink Pink Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Black Black Blue Blue Blue Blue Blue Blue Brown Brown\nBrown Brown Blue Blue Pink Pink Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Black Black Blue Blue Blue Blue Blue Blue Brown Brown\nBrown Brown Pink Pink Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Pink Pink Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nPink Pink Yellow Yellow Brown Brown Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nPink Pink Yellow Yellow Brown Brown Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black\n\nOutput:\nBrown Brown Black Black Blue Blue Black Black Black Black Black Black Blue Blue Brown Brown Black Black Black Black Brown Brown Blue Blue Brown Brown\nBrown Brown Black Black Blue Blue Black Black Black Black Black Black Blue Blue Brown Brown Black Black Black Black Brown Brown Blue Blue Brown Brown\nBrown Brown Brown Brown Blue Blue Blue Blue Black Black Black Black Blue Blue Brown Brown Blue Blue Brown Brown Blue Blue Brown Brown Brown Brown\nBrown Brown Brown Brown Blue Blue Blue Blue Black Black Black Black Blue Blue Brown Brown Blue Blue Brown Brown Blue Blue Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Blue Blue Yellow Yellow Blue Blue Black Black Brown Brown Brown Brown Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Blue Blue Yellow Yellow Blue Blue Black Black Brown Brown Brown Brown Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Brown Brown Brown Brown Yellow Yellow Blue Blue Black Black Brown Brown Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nYellow Yellow Brown Brown Brown Brown Yellow Yellow Blue Blue Black Black Brown Brown Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nBlue Blue Brown Brown Yellow Yellow Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nBlue Blue Brown Brown Yellow Yellow Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nYellow Yellow Brown Brown Brown Brown Blue Blue Yellow Yellow Blue Blue Blue Blue Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nYellow Yellow Brown Brown Brown Brown Blue Blue Yellow Yellow Blue Blue Blue Blue Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Blue Blue Blue Blue Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Blue Blue Blue Blue Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nYellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nYellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nBlue Blue Brown Brown Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nBlue Blue Brown Brown Blue Blue Blue Blue Yellow Yellow Blue Blue Blue Blue Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown\nBrown Brown Blue Blue Brown Brown Blue Blue Yellow Yellow Blue Blue Blue Blue Brown Brown Black Black Yellow Yellow Brown Brown Brown Brown Brown Brown\nBrown Brown Blue Blue Brown Brown Blue Blue Yellow Yellow Blue Blue Blue Blue Brown Brown Black Black Yellow Yellow Brown Brown Brown Brown Brown Brown\nBrown Brown Yellow Yellow Brown Brown Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Yellow Yellow Brown Brown Brown Brown Brown Brown\nBrown Brown Yellow Yellow Brown Brown Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Yellow Yellow Brown Brown Brown Brown Brown Brown\nBrown Brown Yellow Yellow Brown Brown Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBrown Brown Yellow Yellow Brown Brown Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGreen Green Orange Orange Orange Orange Black Black Green Green Orange Orange Gray Gray Green Green Black Black Green Green Black Black Yellow Yellow\nGreen Green Orange Orange Orange Orange Black Black Green Green Orange Orange Gray Gray Green Green Black Black Green Green Black Black Yellow Yellow\nBlack Black Orange Orange Black Black Black Black Gray Gray Green Green Green Green Orange Orange Gray Gray Black Black Yellow Yellow Orange Orange\nBlack Black Orange Orange Black Black Black Black Gray Gray Green Green Green Green Orange Orange Gray Gray Black Black Yellow Yellow Orange Orange\nOrange Orange Orange Orange Black Black Black Black Orange Orange Black Black Green Green Black Black Orange Orange Yellow Yellow Gray Gray Black Black\nOrange Orange Orange Orange Black Black Black Black Orange Orange Black Black Green Green Black Black Orange Orange Yellow Yellow Gray Gray Black Black\nGreen Green Orange Orange Gray Gray Black Black Green Green Green Green Gray Gray Black Black Yellow Yellow Black Black Black Black Orange Orange\nGreen Green Orange Orange Gray Gray Black Black Green Green Green Green Gray Gray Black Black Yellow Yellow Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Green Green Gray Gray Gray Gray Orange Orange Yellow Yellow Orange Orange Black Black Orange Orange Gray Gray\nOrange Orange Black Black Black Black Green Green Gray Gray Gray Gray Orange Orange Yellow Yellow Orange Orange Black Black Orange Orange Gray Gray\nGreen Green Green Green Orange Orange Black Black Black Black Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Orange Orange Black Black Black Black Gray Gray Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Green Green Black Black Yellow Yellow Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Green Green\nGreen Green Black Black Black Black Green Green Black Black Yellow Yellow Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Green Green\nBlack Black Gray Gray Gray Gray Green Green Yellow Yellow Black Black Green Green Green Green Gray Gray Gray Gray Green Green Orange Orange\nBlack Black Gray Gray Gray Gray Green Green Yellow Yellow Black Black Green Green Green Green Gray Gray Gray Gray Green Green Orange Orange\nBlack Black Orange Orange Orange Orange Yellow Yellow Black Black Black Black Green Green Gray Gray Black Black Gray Gray Black Black Black Black\nBlack Black Orange Orange Orange Orange Yellow Yellow Black Black Black Black Green Green Gray Gray Black Black Gray Gray Black Black Black Black\nGray Gray Green Green Yellow Yellow Green Green Black Black Gray Gray Orange Orange Green Green Green Green Orange Orange Orange Orange Green Green\nGray Gray Green Green Yellow Yellow Green Green Black Black Gray Gray Orange Orange Green Green Green Green Orange Orange Orange Orange Green Green\nOrange Orange Yellow Yellow Orange Orange Green Green Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Green Green Gray Gray\nOrange Orange Yellow Yellow Orange Orange Green Green Gray Gray Gray Gray Gray Gray Black Black Black Black Gray Gray Green Green Gray Gray\nYellow Yellow Black Black Black Black Orange Orange Black Black Black Black Gray Gray Orange Orange Orange Orange Gray Gray Black Black Green Green\nYellow Yellow Black Black Black Black Orange Orange Black Black Black Black Gray Gray Orange Orange Orange Orange Gray Gray Black Black Green Green\n\nOutput:\nGreen Green Orange Orange Orange Orange Black Black Green Green Orange Orange Gray Gray Green Green Black Black Green Green Black Black Green Green\nGreen Green Orange Orange Orange Orange Black Black Green Green Orange Orange Gray Gray Green Green Black Black Green Green Black Black Green Green\nGreen Green Orange Orange Orange Orange Black Black Gray Gray Green Green Green Green Orange Orange Gray Gray Green Green Green Green Green Green\nGreen Green Orange Orange Orange Orange Black Black Gray Gray Green Green Green Green Orange Orange Gray Gray Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Black Black Orange Orange Green Green Green Green Orange Orange Orange Orange Gray Gray Green Green Green Green\nOrange Orange Orange Orange Orange Orange Black Black Orange Orange Green Green Green Green Orange Orange Orange Orange Gray Gray Green Green Green Green\nGreen Green Orange Orange Gray Gray Black Black Green Green Green Green Gray Gray Orange Orange Orange Orange Gray Gray Green Green Green Green\nGreen Green Orange Orange Gray Gray Black Black Green Green Green Green Gray Gray Orange Orange Orange Orange Gray Gray Green Green Green Green\nOrange Orange Orange Orange Gray Gray Green Green Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Gray Gray Green Green Green Green\nOrange Orange Orange Orange Gray Gray Green Green Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Gray Gray Green Green Green Green\nGreen Green Green Green Orange Orange Green Green Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray Green Green Green Green\nGreen Green Green Green Orange Orange Green Green Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray Green Green Green Green\nGreen Green Green Green Orange Orange Green Green Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray Green Green Green Green\nGreen Green Green Green Orange Orange Green Green Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray Green Green Green Green\nGreen Green Gray Gray Gray Gray Green Green Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray Green Green Green Green\nGreen Green Gray Gray Gray Gray Green Green Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray Green Green Green Green\nGreen Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray Green Green Green Green\nGreen Green Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray Green Green Green Green\nGray Gray Green Green Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray Green Green Green Green\nGray Gray Green Green Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray Green Green Green Green\nOrange Orange Green Green Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray Green Green Green Green\nOrange Orange Green Green Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Gray Gray Green Green Green Green\nOrange Orange Black Black Black Black Orange Orange Black Black Black Black Gray Gray Orange Orange Orange Orange Gray Gray Black Black Green Green\nOrange Orange Black Black Black Black Orange Orange Black Black Black Black Gray Gray Orange Orange Orange Orange Gray Gray Black Black Green Green\n\n\nExample 3\nInput:\nGray Gray Green Green Orange Orange Black Black Orange Orange Black Black Orange Orange Orange Orange Black Black Gray Gray Green Green Gray Gray Green Green Brown Brown\nGray Gray Green Green Orange Orange Black Black Orange Orange Black Black Orange Orange Orange Orange Black Black Gray Gray Green Green Gray Gray Green Green Brown Brown\nGray Gray Black Black Orange Orange Orange Orange Black Black Gray Gray Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Green Green\nGray Gray Black Black Orange Orange Orange Orange Black Black Gray Gray Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Brown Brown Green Green\nGreen Green Gray Gray Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Gray Gray Black Black Brown Brown Orange Orange Gray Gray\nGreen Green Gray Gray Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Gray Gray Black Black Brown Brown Orange Orange Gray Gray\nBlack Black Green Green Black Black Black Black Black Black Gray Gray Black Black Green Green Gray Gray Black Black Brown Brown Gray Gray Orange Orange Orange Orange\nBlack Black Green Green Black Black Black Black Black Black Gray Gray Black Black Green Green Gray Gray Black Black Brown Brown Gray Gray Orange Orange Orange Orange\nGray Gray Black Black Black Black Green Green Green Green Black Black Black Black Orange Orange Gray Gray Brown Brown Orange Orange Black Black Gray Gray Orange Orange\nGray Gray Black Black Black Black Green Green Green Green Black Black Black Black Orange Orange Gray Gray Brown Brown Orange Orange Black Black Gray Gray Orange Orange\nBlack Black Black Black Green Green Gray Gray Green Green Green Green Green Green Gray Gray Brown Brown Black Black Green Green Green Green Orange Orange Black Black\nBlack Black Black Black Green Green Gray Gray Green Green Green Green Green Green Gray Gray Brown Brown Black Black Green Green Green Green Orange Orange Black Black\nBlack Black Black Black Gray Gray Gray Gray Orange Orange Black Black Gray Gray Brown Brown Black Black Green Green Green Green Green Green Black Black Green Green\nBlack Black Black Black Gray Gray Gray Gray Orange Orange Black Black Gray Gray Brown Brown Black Black Green Green Green Green Green Green Black Black Green Green\nGray Gray Gray Gray Orange Orange Orange Orange Gray Gray Black Black Brown Brown Black Black Black Black Black Black Gray Gray Orange Orange Green Green Green Green\nGray Gray Gray Gray Orange Orange Orange Orange Gray Gray Black Black Brown Brown Black Black Black Black Black Black Gray Gray Orange Orange Green Green Green Green\nBlack Black Orange Orange Green Green Orange Orange Orange Orange Brown Brown Black Black Black Black Green Green Green Green Black Black Gray Gray Orange Orange Black Black\nBlack Black Orange Orange Green Green Orange Orange Orange Orange Brown Brown Black Black Black Black Green Green Green Green Black Black Gray Gray Orange Orange Black Black\nOrange Orange Gray Gray Black Black Black Black Brown Brown Gray Gray Green Green Gray Gray Orange Orange Orange Orange Green Green Black Black Orange Orange Gray Gray\nOrange Orange Gray Gray Black Black Black Black Brown Brown Gray Gray Green Green Gray Gray Orange Orange Orange Orange Green Green Black Black Orange Orange Gray Gray\nGray Gray Orange Orange Black Black Brown Brown Black Black Green Green Gray Gray Black Black Black Black Green Green Green Green Gray Gray Green Green Green Green\nGray Gray Orange Orange Black Black Brown Brown Black Black Green Green Gray Gray Black Black Black Black Green Green Green Green Gray Gray Green Green Green Green\nOrange Orange Green Green Brown Brown Black Black Gray Gray Black Black Green Green Black Black Gray Gray Black Black Green Green Black Black Black Black Gray Gray\nOrange Orange Green Green Brown Brown Black Black Gray Gray Black Black Green Green Black Black Gray Gray Black Black Green Green Black Black Black Black Gray Gray\n\nOutput:\nGray Gray Green Green Orange Orange Black Black Orange Orange Black Black Orange Orange Orange Orange Black Black Gray Gray Green Green Gray Gray Green Green Gray Gray\nGray Gray Green Green Orange Orange Black Black Orange Orange Black Black Orange Orange Orange Orange Black Black Gray Gray Green Green Gray Gray Green Green Gray Gray\nGray Gray Gray Gray Orange Orange Orange Orange Orange Orange Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Gray Gray\nGray Gray Gray Gray Orange Orange Orange Orange Orange Orange Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Green Green Gray Gray\nGreen Green Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Orange Orange Gray Gray Green Green Gray Gray\nGreen Green Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Gray Gray Orange Orange Gray Gray Green Green Gray Gray\nBlack Black Green Green Gray Gray Orange Orange Green Green Gray Gray Orange Orange Green Green Gray Gray Gray Gray Green Green Gray Gray Green Green Gray Gray\nBlack Black Green Green Gray Gray Orange Orange Green Green Gray Gray Orange Orange Green Green Gray Gray Gray Gray Green Green Gray Gray Green Green Gray Gray\nGray Gray Black Black Green Green Green Green Green Green Gray Gray Orange Orange Orange Orange Gray Gray Green Green Green Green Gray Gray Green Green Gray Gray\nGray Gray Black Black Green Green Green Green Green Green Gray Gray Orange Orange Orange Orange Gray Gray Green Green Green Green Gray Gray Green Green Gray Gray\nBlack Black Gray Gray Green Green Gray Gray Green Green Green Green Green Green Gray Gray Gray Gray Green Green Green Green Gray Gray Green Green Gray Gray\nBlack Black Gray Gray Green Green Gray Gray Green Green Green Green Green Green Gray Gray Gray Gray Green Green Green Green Gray Gray Green Green Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Orange Orange Green Green Gray Gray Gray Gray Gray Gray Green Green Green Green Gray Gray Green Green Gray Gray\nBlack Black Black Black Gray Gray Gray Gray Orange Orange Green Green Gray Gray Gray Gray Gray Gray Green Green Green Green Gray Gray Green Green Gray Gray\nGray Gray Gray Gray Orange Orange Orange Orange Gray Gray Green Green Green Green Gray Gray Gray Gray Green Green Green Green Gray Gray Green Green Gray Gray\nGray Gray Gray Gray Orange Orange Orange Orange Gray Gray Green Green Green Green Gray Gray Gray Gray Green Green Green Green Gray Gray Green Green Gray Gray\nBlack Black Orange Orange Green Green Orange Orange Orange Orange Green Green Green Green Gray Gray Gray Gray Green Green Green Green Gray Gray Green Green Gray Gray\nBlack Black Orange Orange Green Green Orange Orange Orange Orange Green Green Green Green Gray Gray Gray Gray Green Green Green Green Gray Gray Green Green Gray Gray\nOrange Orange Gray Gray Orange Orange Orange Orange Gray Gray Green Green Green Green Gray Gray Gray Gray Green Green Green Green Gray Gray Green Green Gray Gray\nOrange Orange Gray Gray Orange Orange Orange Orange Gray Gray Green Green Green Green Gray Gray Gray Gray Green Green Green Green Gray Gray Green Green Gray Gray\nGray Gray Orange Orange Gray Gray Orange Orange Gray Gray Green Green Green Green Black Black Gray Gray Green Green Green Green Gray Gray Green Green Gray Gray\nGray Gray Orange Orange Gray Gray Orange Orange Gray Gray Green Green Green Green Black Black Gray Gray Green Green Green Green Gray Gray Green Green Gray Gray\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Green Green Gray Gray Gray Gray Green Green Green Green Gray Gray Green Green Gray Gray\nOrange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Green Green Gray Gray Gray Gray Green Green Green Green Gray Gray Green Green Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Gray Gray Black Black Black Black Blue Blue Black Black Black Black Red Red Red Red Black Black Blue Blue Blue Blue Red Red Pink Pink\nBlack Black Gray Gray Black Black Black Black Blue Blue Black Black Black Black Red Red Red Red Black Black Blue Blue Blue Blue Red Red Pink Pink\nBlack Black Red Red Blue Blue Red Red Black Black Black Black Red Red Blue Blue Blue Blue Gray Gray Blue Blue Black Black Pink Pink Black Black\nBlack Black Red Red Blue Blue Red Red Black Black Black Black Red Red Blue Blue Blue Blue Gray Gray Blue Blue Black Black Pink Pink Black Black\nBlack Black Red Red Gray Gray Gray Gray Red Red Red Red Black Black Blue Blue Blue Blue Red Red Black Black Pink Pink Blue Blue Black Black\nBlack Black Red Red Gray Gray Gray Gray Red Red Red Red Black Black Blue Blue Blue Blue Red Red Black Black Pink Pink Blue Blue Black Black\nGray Gray Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Red Red Gray Gray Black Black Black Black Pink Pink Gray Gray Black Black Red Red\nGray Gray Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Red Red Gray Gray Black Black Black Black Pink Pink Gray Gray Black Black Red Red\nBlack Black Blue Blue Red Red Blue Blue Black Black Blue Blue Red Red Blue Blue Red Red Pink Pink Black Black Red Red Black Black Red Red\nBlack Black Blue Blue Red Red Blue Blue Black Black Blue Blue Red Red Blue Blue Red Red Pink Pink Black Black Red Red Black Black Red Red\nGray Gray Red Red Gray Gray Black Black Black Black Red Red Gray Gray Black Black Pink Pink Black Black Black Black Blue Blue Black Black Gray Gray\nGray Gray Red Red Gray Gray Black Black Black Black Red Red Gray Gray Black Black Pink Pink Black Black Black Black Blue Blue Black Black Gray Gray\nBlue Blue Black Black Gray Gray Red Red Blue Blue Red Red Gray Gray Pink Pink Red Red Black Black Gray Gray Black Black Red Red Black Black\nBlue Blue Black Black Gray Gray Red Red Blue Blue Red Red Gray Gray Pink Pink Red Red Black Black Gray Gray Black Black Red Red Black Black\nGray Gray Gray Gray Black Black Gray Gray Blue Blue Red Red Pink Pink Red Red Gray Gray Black Black Gray Gray Black Black Blue Blue Gray Gray\nGray Gray Gray Gray Black Black Gray Gray Blue Blue Red Red Pink Pink Red Red Gray Gray Black Black Gray Gray Black Black Blue Blue Gray Gray\nRed Red Gray Gray Red Red Blue Blue Blue Blue Pink Pink Black Black Gray Gray Black Black Black Black Blue Blue Blue Blue Red Red Gray Gray\nRed Red Gray Gray Red Red Blue Blue Blue Blue Pink Pink Black Black Gray Gray Black Black Black Black Blue Blue Blue Blue Red Red Gray Gray\nBlack Black Black Black Red Red Blue Blue Pink Pink Gray Gray Red Red Black Black Blue Blue Blue Blue Red Red Gray Gray Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Pink Pink Gray Gray Red Red Black Black Blue Blue Blue Blue Red Red Gray Gray Black Black Black Black\nBlack Black Blue Blue Gray Gray Pink Pink Gray Gray Red Red Black Black Red Red Gray Gray Black Black Red Red Black Black Black Black Gray Gray\nBlack Black Blue Blue Gray Gray Pink Pink Gray Gray Red Red Black Black Red Red Gray Gray Black Black Red Red Black Black Black Black Gray Gray\nBlue Blue Black Black Pink Pink Blue Blue Red Red Black Black Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black Red Red\nBlue Blue Black Black Pink Pink Blue Blue Red Red Black Black Blue Blue Black Black Black Black Blue Blue Black Black Blue Blue Black Black Red Red\nBlack Black Pink Pink Gray Gray Black Black Red Red Gray Gray Black Black Black Black Blue Blue Blue Blue Red Red Blue Blue Black Black Red Red\nBlack Black Pink Pink Gray Gray Black Black Red Red Gray Gray Black Black Black Black Blue Blue Blue Blue Red Red Blue Blue Black Black Red Red\nPink Pink Blue Blue Gray Gray Blue Blue Blue Blue Gray Gray Black Black Black Black Red Red Gray Gray Black Black Blue Blue Gray Gray Gray Gray\nPink Pink Blue Blue Gray Gray Blue Blue Blue Blue Gray Gray Black Black Black Black Red Red Gray Gray Black Black Blue Blue 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 Gray Gray Black Black Black Black Blue Blue Black Black Black Black Red Red Red Red Black Black Blue Blue Blue Blue Red Red Gray Gray\nBlack Black Gray Gray Black Black Black Black Blue Blue Black Black Black Black Red Red Red Red Black Black Blue Blue Blue Blue Red Red Gray Gray\nBlack Black Red Red Blue Blue Red Red Blue Blue Black Black Red Red Blue Blue Blue Blue Gray Gray Blue Blue Blue Blue Gray Gray Gray Gray\nBlack Black Red Red Blue Blue Red Red Blue Blue Black Black Red Red Blue Blue Blue Blue Gray Gray Blue Blue Blue Blue Gray Gray Gray Gray\nBlack Black Red Red Gray Gray Gray Gray Red Red Red Red Red Red Blue Blue Blue Blue Red Red Blue Blue Blue Blue Gray Gray Gray Gray\nBlack Black Red Red Gray Gray Gray Gray Red Red Red Red Red Red Blue Blue Blue Blue Red Red Blue Blue Blue Blue Gray Gray Gray Gray\nGray Gray Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Red Red Gray Gray Blue Blue Red Red Red Red Blue Blue Gray Gray Gray Gray\nGray Gray Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray Red Red Gray Gray Blue Blue Red Red Red Red Blue Blue Gray Gray Gray Gray\nGray Gray Blue Blue Red Red Blue Blue Gray Gray Blue Blue Red Red Blue Blue Red Red Gray Gray Red Red Blue Blue Gray Gray Gray Gray\nGray Gray Blue Blue Red Red Blue Blue Gray Gray Blue Blue Red Red Blue Blue Red Red Gray Gray Red Red Blue Blue Gray Gray Gray Gray\nGray Gray Red Red Gray Gray Blue Blue Gray Gray Red Red Gray Gray Blue Blue Red Red Gray Gray Red Red Blue Blue Gray Gray Gray Gray\nGray Gray Red Red Gray Gray Blue Blue Gray Gray Red Red Gray Gray Blue Blue Red Red Gray Gray Red Red Blue Blue Gray Gray Gray Gray\nBlue Blue Red Red Gray Gray Red Red Blue Blue Red Red Gray Gray Red Red Red Red Gray Gray Red Red Blue Blue Gray Gray Gray Gray\nBlue Blue Red Red Gray Gray Red Red Blue Blue Red Red Gray Gray Red Red Red Red Gray Gray Red Red Blue Blue Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Blue Blue Red Red Blue Blue Red Red Red Red Gray Gray Red Red Blue Blue Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Blue Blue Red Red Blue Blue Red Red Red Red Gray Gray Red Red Blue Blue Gray Gray Gray Gray\nRed Red Gray Gray Red Red Blue Blue Blue Blue Gray Gray Blue Blue Red Red Red Red Gray Gray Red Red Blue Blue Gray Gray Gray Gray\nRed Red Gray Gray Red Red Blue Blue Blue Blue Gray Gray Blue Blue Red Red Red Red Gray Gray Red Red Blue Blue Gray Gray Gray Gray\nRed Red Gray Gray Red Red Blue Blue Blue Blue Gray Gray Blue Blue Red Red Red Red Gray Gray Red Red Blue Blue Gray Gray Gray Gray\nRed Red Gray Gray Red Red Blue Blue Blue Blue Gray Gray Blue Blue Red Red Red Red Gray Gray Red Red Blue Blue Gray Gray Gray Gray\nRed Red Blue Blue Gray Gray Blue Blue Blue Blue Gray Gray Blue Blue Red Red Red Red Gray Gray Red Red Blue Blue Gray Gray Gray Gray\nRed Red Blue Blue Gray Gray Blue Blue Blue Blue Gray Gray Blue Blue Red Red Red Red Gray Gray Red Red Blue Blue Gray Gray Gray Gray\nBlue Blue Blue Blue Gray Gray Blue Blue Blue Blue Gray Gray Blue Blue Black Black Red Red Gray Gray Red Red Blue Blue Gray Gray Gray Gray\nBlue Blue Blue Blue Gray Gray Blue Blue Blue Blue Gray Gray Blue Blue Black Black Red Red Gray Gray Red Red Blue Blue Gray Gray Gray Gray\nBlue Blue Blue Blue Gray Gray Blue Blue Blue Blue Gray Gray Black Black Black Black Red Red Gray Gray Red Red Blue Blue Gray Gray Gray Gray\nBlue Blue Blue Blue Gray Gray Blue Blue Blue Blue Gray Gray Black Black Black Black Red Red Gray Gray Red Red Blue Blue Gray Gray Gray Gray\nBlue Blue Blue Blue Gray Gray Blue Blue Blue Blue Gray Gray Black Black Black Black Red Red Gray Gray Black Black Blue Blue Gray Gray Gray Gray\nBlue Blue Blue Blue Gray Gray Blue Blue Blue Blue Gray Gray Black Black Black Black Red Red Gray Gray Black Black Blue Blue 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 Yellow\nBlack Black Brown Brown Brown Red Red Black Black Black\nBlack Black Brown Brown Brown Green Green Green Black Black\nBlack Black Brown Brown Brown Purple Brown Brown Brown Black\nBlack Black Blue Red Purple Purple Brown Brown Brown Black\nBlack Black Green Purple Brown Brown Brown Brown Brown Black\nBlack Black Green Purple Brown Brown Brown Gray Gray Black\nBlack Black Black Purple Brown Brown Brown Gray Gray 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 Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green\nBlack Black Red Gray Gray Gray Gray Gray Gray Black\nBlack Black Red Gray Gray Orange Purple Purple Purple Black\nBlack Black Black Pink Pink Brown Brown Brown Purple Black\nBlack Black Purple Purple Purple Brown Brown Brown Purple Black\nBlack Black Purple Purple Purple Brown Brown Brown Orange Black\nBlack Black Purple Purple Purple Brown Brown Brown Orange Black\nBlack Black Black Orange Orange Brown Brown Brown 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 Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green\nBlack Black Black Black Orange Orange Orange Yellow Yellow Black\nBlack Black Gray Brown Brown Orange Orange Yellow Yellow Black\nBlack Black Gray Brown Brown Orange Orange Yellow Yellow Black\nBlack Black Gray Pink Pink Gray Yellow Brown Brown Black\nBlack Black Gray Pink Purple Purple Purple Brown Brown Black\nBlack Black Gray Gray Purple Purple Purple Blue Black Black\nBlack Black Black Black Purple Purple Purple 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 Green\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray\nBlack Black Orange Orange Orange Pink Green Black Black Black\nBlack Black Orange Orange Orange Brown Brown Brown Orange Black\nBlack Black Orange Orange Orange Brown Brown Brown Orange Black\nBlack Black Orange Orange Orange Brown Brown Brown Purple Black\nBlack Black Yellow Yellow Purple Brown Brown Purple Purple Black\nBlack Black Yellow Yellow Purple Purple Purple Purple Purple Black\nBlack Black Yellow Yellow Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns 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 Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Pink Black Black Black Black Black Gray Black Black\nBlack Black Black Orange Black Black Orange Blue Black Yellow\nBlack Black Black Orange Black Black Purple Black Black Black\nBlack Orange Yellow Black Orange Black Pink Black Black Purple\nBlack Black Black Black Black Pink Black Black Black Black\nBlack Black Black Red Black Black Black Purple Orange Black\nOrange Black Black Gray Black Black Yellow Black Black Black\nPurple Black Black Black Blue Black Black Black Pink Black\nBlack Orange Black Brown Black Black Black Orange Yellow Red\nPink Black Pink Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange Blue Blue Black Black Yellow Yellow\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Orange Orange Blue Blue Black Black Yellow Yellow\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Orange Orange Yellow Yellow Black Black Orange Orange Black Black Pink Pink Black Black Black Black Purple Purple\nBlack Black Orange Orange Yellow Yellow Black Black Orange Orange Black Black Pink Pink Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Purple Purple Orange Orange Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black Purple Purple Orange Orange Black Black\nOrange Orange Black Black Black Black Gray Gray Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nOrange Orange Black Black Black Black Gray Gray Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Pink Pink Black Black\nPurple Purple Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Orange Orange Black Black Brown Brown Black Black Black Black Black Black Orange Orange Yellow Yellow Red Red\nBlack Black Orange Orange Black Black Brown Brown Black Black Black Black Black Black Orange Orange Yellow Yellow Red Red\nPink Pink Black Black Pink Pink Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Pink Pink Red Red Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nOrange Black Red Black Red Black Black Black Black Black\nBrown Brown Black Purple Black Black Pink Black Yellow Black\nBlack Black Black Black Purple Black Black Black Blue Purple\nBlack Gray Pink Black Black Black Yellow Black Black Black\nBlack Brown Black Black Purple Yellow Black Black Black Red\nBlack Green Pink Black Black Black Black Blue Black Black\nBlack Green Pink Green Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Purple Black\nBlack Black Purple Black Black Blue Black Black Black Black\nBlack Blue Green Yellow Black Black Black Blue Pink Orange\n\nOutput:\nOrange Orange Black Black Red Red Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Red Red Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Purple Purple Black Black Black Black Pink Pink Black Black Yellow Yellow Black Black\nBrown Brown Brown Brown Black Black Purple Purple Black Black Black Black Pink Pink Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Blue Blue Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Blue Blue Purple Purple\nBlack Black Gray Gray Pink Pink Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Gray Gray Pink Pink Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Purple Purple Yellow Yellow Black Black Black Black Black Black Red Red\nBlack Black Brown Brown Black Black Black Black Purple Purple Yellow Yellow Black Black Black Black Black Black Red Red\nBlack Black Green Green Pink Pink Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Green Green Pink Pink Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Green Green Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Green Green Yellow Yellow Black Black Black Black Black Black Blue Blue Pink Pink Orange Orange\nBlack Black Blue Blue Green Green Yellow Yellow Black Black Black Black Black Black Blue Blue Pink Pink Orange Orange\n\n\nExample 3\nInput:\nBlack Black Red Black Blue Pink Gray Black Black Yellow\nBlack Black Black Black Brown Black Black Black Orange Black\nBlack Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nYellow Black Black Black Black Black Black Purple Black Black\nGray Black Black Gray Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Brown Yellow\nGreen Yellow Black Black Black Gray Black Brown Yellow Gray\nBlack Black Black Black Black Pink Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Orange\n\nOutput:\nBlack Black Black Black Red Red Black Black Blue Blue Pink Pink Gray Gray Black Black Black Black Yellow Yellow\nBlack Black Black Black Red Red Black Black Blue Blue Pink Pink Gray Gray Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Orange Orange 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 Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nGray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Gray Gray 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 Brown Brown Yellow Yellow\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Yellow Yellow\nGreen Green Yellow Yellow Black Black Black Black Black Black Gray Gray Black Black Brown Brown Yellow Yellow Gray Gray\nGreen Green Yellow Yellow Black Black Black Black Black Black Gray Gray Black Black Brown Brown Yellow Yellow Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Black Black Black Black Gray Gray Black Black\nOrange Black Purple Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Green Black Green Black\nBlack Purple Black Black Black Black Brown Black Black Blue\nBlack Yellow Black Black Blue Black Black Black Black Orange\nBlack Black Black Black Red Black Black Black Brown Black\nOrange Black Yellow Gray Black Black Black Black Black Black\nBlack Black Red Pink Black Black Black Pink Purple Blue\nGray Black Black Black Black Black Black Red Black Black\nGreen Gray Black Pink Black Black Black Green Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nOrange Orange Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nOrange Orange Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Blue Blue\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Brown Brown Black Black Black Black Blue Blue\nBlack Black Yellow Yellow Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Yellow Yellow Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Brown Brown Black Black\nOrange Orange Black Black Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Yellow Yellow Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Pink Pink Black Black Black Black Black Black Pink Pink Purple Purple Blue Blue\nBlack Black Black Black Red Red Pink Pink Black Black Black Black Black Black Pink Pink Purple Purple Blue Blue\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black\nGreen Green Gray Gray Black Black Pink Pink Black Black Black Black Black Black Green Green Black Black Black Black\nGreen Green Gray Gray Black Black Pink Pink Black Black Black Black Black Black Green Green Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Yellow Yellow Yellow\nBlack Yellow Black Black\nBlack Yellow Black Black\nBlack Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow\nYellow Yellow Black Black\nYellow Yellow Black Black\nBlack Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Brown\nBlack Black Black Brown\n\nOutput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Brown Brown\nBlack Black Brown Brown\n\n\nExample 3\nInput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Gray Black\nBlack Gray Gray Black\n\nOutput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Gray Gray Black\nGray Gray Gray Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black\nBlack Red Red Black\nBlack Black Red Red\nBlack Black Red Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black\nRed Red Red Black\nBlack Red Red Red\nBlack 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:\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Black Pink Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Black Pink Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Green Green Green Black Brown Brown\nBrown Green Black Pink Pink Brown Brown\nBrown Green Green Green Black Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Green Green Green Brown Brown Brown\nBrown Green Brown Pink Pink Brown Brown\nBrown Green Green Green Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\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 Black Gray Pink Pink Pink Pink\nPink Pink Pink Gray Gray Pink Pink Pink Pink\nPink Pink Pink Gray Black 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\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Gray Pink Pink Pink Pink\nPink Pink Pink Gray Gray Pink Pink Pink Pink\nPink Pink Pink Gray Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow\nYellow Gray Gray Black Yellow Yellow\nYellow Gray Gray Gray Yellow Yellow\nYellow Black Gray Gray Yellow Yellow\nYellow 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\nYellow Gray Gray Yellow Yellow Yellow\nYellow Gray Gray Gray Yellow Yellow\nYellow Yellow Gray Gray Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Yellow Black Black Green Green Black Black\nBlack Green Yellow Black Black Black Black Blue\nBlack Green Black Black Black Black Black Black\nRed Black Blue Black Black Black Black Black\nBlack Black Black Red Black Black Black Black\nBlack Green Black Green Black Black Black Blue\nRed Blue Black Black Black Green Green Blue\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Red Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Red Red Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Red Red Black Black Black Black Black Black Black Black Green Green\nBlack Black Yellow Yellow Red Red Black Black Black Black Black Black Black Black Green Green\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Green Green\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Black Black Black Black Green Green\nBlue Blue Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green\nBlue Blue Green Green Black Black Black Black Black Black Yellow Yellow Yellow Yellow Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Red Black Green Black Black\nYellow Black Black Red Green Black Black\nBlue Black Black Black Black Black Green\nBlue Black Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Black\nBlack Black Blue Black Blue Black Black\nYellow Green Red Green Blue Black Black\n\nOutput:\nBlack Black Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Yellow Yellow Black Black Black Black\nRed Red Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black\nRed Red Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nGreen Green Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nGreen Green Black Black Red Red Red Red Black Black Black Black Black Black\nGreen Green Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Green Green Black Black Black Black\nRed Red Yellow Yellow Blue Blue Yellow Yellow Green Green Black Black Black Black\nRed Red Yellow Yellow Blue Blue Yellow Yellow Green Green Black Black Black Black\n\n\nExample 3\nInput:\nBlack Yellow Blue Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Red Black Yellow\nBlack Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black\nBlack Blue Black Black Black Red Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Red Green Green Black Black Black Black Black Black Black Black\nBlack Black Red Red Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Red Red\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Green Green Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nYellow Black Black Black Green Black Black Black Black\nBlack Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Green Green\nBlack Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black\nBlack Purple Purple Black Black Black\nBlack Purple Purple Black Black Black\nBlack Black Purple Purple Black Black\nBlack Black Black Purple Purple Black\nBlack Black Black Purple Black Black\nBlack Black Black Purple Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Black Purple Black Black Black\nBlack Black Purple Black Black Black\nBlack Purple Purple Black Black Black\nBlack Black Purple Purple Black Black\nBlack Black Black Purple Purple Black\nBlack Black Black Purple Purple Black\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Brown Brown Black Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Black Brown Brown Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Red Red Red Red Black\nBlack Black Red Black Red Red Black\nBlack Red Red Black Red Red Black\nBlack Red Red Black Black Black Black\nBlack Red Red Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Red Red Black\nBlack Black Black Black Red Red Black\nBlack Red Red Black Red Red Black\nBlack Red Red Black Red Black Black\nBlack Red Red Red Red Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Green Green Green Black\nBlack Green Black Green Black\nBlack Green Black Green Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Green Black Green Black\nBlack Green Black Green Black\nBlack Green Green Green Black\nBlack Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\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 Green Green Black Black\nBlack Black Black Black Green Green 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 Blue Blue Black Black\nBlack Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Green Green Black Black Black Black\nBlack Green Green Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Blue Blue Black Black Black Black\nBlack Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Green Green\nBlack Black Black Black Black Green Green\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue\nBlack Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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```\nBlue Blue Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nYellow 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 Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Black 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 Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 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 Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray 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 Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown 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 Brown 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 Brown 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Red Red Red Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black 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 Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow 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 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown 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 Black Black Brown Brown Brown 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 Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Purple Purple Purple\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple 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 Black Black Purple 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 Black Black Purple Purple Purple Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Red Red 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 Black Black Black Red Red 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 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 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 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 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 Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red Red Red Red Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Red Pink\nPink Red Red Red Red Red Pink\nPink Red Black Black Black Black Pink\nPink Red Black Black Black Black Pink\nPink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Red Red Pink Pink Pink\nPink Pink Pink Black Black Black Black Black Black Black Black Red Red Pink Pink Pink\nPink Pink Pink Red Red Red Red Red Red Red Red Red Red Pink Pink Pink\nPink Pink Pink Red Red Red Red Red Red Red Red Red Red Pink Pink Pink\nPink Pink Pink Red Red Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Red Red Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Red Red Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Red Red Black Black Black Black Black Black Black Black Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange\nOrange Brown Brown Brown Brown Orange\nOrange Brown Brown Brown Brown Orange\nOrange Brown Brown Brown Black Orange\nOrange Brown Brown Brown Brown Orange\nOrange Brown Brown Brown Brown Orange\nOrange Orange Orange Orange Orange Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange\nOrange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange\nOrange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange\nOrange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange\nOrange Orange Orange Brown Brown Brown Brown Brown Brown Black Black Orange Orange Orange\nOrange Orange Orange Brown Brown Brown Brown Brown Brown Black Black Orange Orange Orange\nOrange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange\nOrange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange\nOrange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange\nOrange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray\nGray Black Black Red Red Red Gray\nGray Black Black Red Red Red Gray\nGray Black Black Black Black Red Gray\nGray Red Red Red Red Red Gray\nGray Red Red Red Black Black Gray\nGray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Black Black Black Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Black Black Black Black Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Black Black Black Black Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Black Black Black Black Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Black Black Red Red Gray Gray Gray\nGray Gray Gray Black Black Black Black Black Black Black Black Red Red Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Red Red Red Red Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Black Black Black Black Gray Gray Gray\nGray Gray Gray Red Red Red Red Red Red Black Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink\nPink Green Green Green Pink\nPink Black Black Green Pink\nPink Green Green Green Pink\nPink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Green Green Green Green Green Green Pink Pink Pink\nPink Pink Pink Green Green Green Green Green Green Pink Pink Pink\nPink Pink Pink Black Black Black Black Green Green Pink Pink Pink\nPink Pink Pink Black Black Black Black Green Green Pink Pink Pink\nPink Pink Pink Green Green Green Green Green Green Pink Pink Pink\nPink Pink Pink Green Green Green Green Green Green Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
]
|
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Gray Yellow Gray Black Black Black Black Black Black Black\nBlack Black Black Black Brown Yellow Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Orange Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Pink Green Black Black Black Green Yellow Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Pink Purple Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Orange Green Black Pink Pink Pink 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Pink Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Pink Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Pink Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black 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\nRed Green Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Purple Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Red Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Brown 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
]
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.