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{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black Blue Black Blue Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Brown Black Brown Purple Brown Black Purple Blue Black Purple Black Black\nBlack Black Black Black Black Black Brown Brown Brown Gray Black Gray Black Gray Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Brown Brown Brown Purple Brown Brown Purple Blue Purple Purple Black Black\nBlack Black Black Black Black Black Brown Brown Brown Gray Black Gray Black Gray Black Black Black\nBlack Black Black Black Black Black Black Brown Orange Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue 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\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Purple Black Black Pink Black Pink Black Pink Black Purple Black\nBlack Purple Black Purple Black Orange Black Orange Pink Pink Pink Black Black Black Purple\nPurple Purple Purple Black Black Black Orange Orange Orange Pink Black Black Black Black Black\nBlack Purple Black Black Black Red Black Orange Red Black Black Red Black Black Black\nBlack Black Black Black Black Black Red Black Red Gray Red Black Gray Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Red Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Black Black Purple Purple Purple Pink Purple Pink Purple Pink Pink Purple Black\nBlack Purple Purple Purple Purple Orange Orange Orange Pink Pink Pink Orange Orange Orange Purple\nPurple Purple Purple Black Black Black Orange Orange Orange Pink Black Purple Black Purple Black\nBlack Purple Black Black Black Red Red Orange Red Red Red Red Purple Black Black\nBlack Black Black Black Black Black Red Red Red Gray Red Red Gray Black Black\nBlack Black Black Black Black Black Black Red Red Red Purple Gray Black Black Black\nBlack Black Black Black Black Black Black Purple Red Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Purple Red Purple Gray Black Black Black Black Black\nBlack Black Black Black Black Purple Red Purple Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Purple Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Purple 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 Pink Black Pink Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Blue Orange Black Orange Black Orange Black Black Black\nBlack Black Black Black Black Blue Black Blue Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink 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 Pink Blue Blue Blue Blue Orange Blue Orange Blue Orange Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange 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 Orange Black Black Orange Black Black Orange Black Black Black Black Black Black\nBlack Black Orange Black Orange Black Orange Black Black Black Black Black Black Black\nBlack Yellow Black Orange Orange Orange Black Black Black Black Black Black Yellow Black\nBlack Yellow Black Yellow Orange Black Black Black Black Black Black Black Black Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Blue Brown Black Blue Black Brown Blue Black Black Black Black Black\nBlack Black Black Blue Brown Blue Brown Blue 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 Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Orange Black Orange Black Orange Black Black Black Black Black Black Black\nBlack Yellow Black Orange Orange Orange Black Orange Black Black Black Black Yellow Black\nBlack Yellow Black Yellow Orange Black Black Black Orange Black Black Black Black Yellow\nYellow Yellow Yellow Orange Black Black Black Black Black Orange Black Black Yellow Black\nBlack Yellow Blue Brown Black Blue Black Brown Blue Black Orange Yellow Black Black\nBlack Black Black Blue Brown Blue Brown Blue Black Black Yellow Orange Black Black\nBlack Black Black Black Blue Blue Blue Black Black Yellow Black Black Orange Black\nBlack Black Black Black Black Blue Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
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] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Green Yellow Yellow Yellow\nGreen Green Yellow Green Green Green Green\nYellow Yellow Yellow Green Green Green Yellow\nBlack Black Black Black Black Black Black\nYellow Yellow Yellow Green Green Green Yellow\nGreen Green Yellow Green Green Green Green\nYellow Yellow Yellow Green Yellow Yellow Yellow\n\nOutput:\nGreen Green Green Yellow Green Green Green\nYellow Yellow Green Yellow Yellow Yellow Yellow\nGreen Green Green Yellow Yellow Yellow Green\nBlack Black Black Black Black Black Black\nGreen Green Green Yellow Yellow Yellow Green\nYellow Yellow Green Yellow Yellow Yellow Yellow\nGreen Green Green Yellow Green Green Green\n\n\nExample 2\nInput:\nGreen Yellow Green Green Yellow Green Yellow\nGreen Yellow Green Yellow Green Green Yellow\nGreen Green Yellow Green Yellow Yellow Yellow\nBlack Black Black Black Black Black Black\nGreen Green Yellow Green Yellow Yellow Yellow\nGreen Yellow Green Yellow Green Green Yellow\nGreen Yellow Green Green Yellow Green Yellow\n\nOutput:\nYellow Green Yellow Yellow Green Yellow Green\nYellow Green Yellow Green Yellow Yellow Green\nYellow Yellow Green Yellow Green Green Green\nBlack Black Black Black Black Black Black\nYellow Yellow Green Yellow Green Green Green\nYellow Green Yellow Green Yellow Yellow Green\nYellow Green Yellow Yellow Green Yellow Green\n\n\nExample 3\nInput:\nGreen Green Green Green Yellow Yellow Yellow\nGreen Yellow Yellow Yellow Yellow Green Green\nGreen Green Yellow Yellow Yellow Green Green\nBlack Black Black Black Black Black Black\nGreen Green Yellow Yellow Yellow Green Green\nGreen Yellow Yellow Yellow Yellow Green Green\nGreen Green Green Green Yellow Yellow Yellow\n\nOutput:\nYellow Yellow Yellow Yellow Green Green Green\nYellow Green Green Green Green Yellow Yellow\nYellow Yellow Green Green Green Yellow Yellow\nBlack Black Black Black Black Black Black\nYellow Yellow Green Green Green Yellow Yellow\nYellow Green Green Green Green Yellow Yellow\nYellow Yellow Yellow Yellow Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Yellow Yellow Green Yellow Green\nGreen Yellow Yellow Green Green Yellow Green\nGreen Green Yellow Green Yellow Yellow Green\nBlack Black Black Black Black Black Black\nGreen Green Yellow Green Yellow Yellow Green\nGreen Yellow Yellow Green Green Yellow Green\nGreen Green Yellow Yellow Green Yellow Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Green Green Yellow Green Yellow\nYellow Green Green Yellow Yellow Green Yellow\nYellow Yellow Green Yellow Green Green Yellow\nBlack Black Black Black Black Black Black\nYellow Yellow Green Yellow Green Green Yellow\nYellow Green Green Yellow Yellow Green Yellow\nYellow Yellow Green Green Yellow Green Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Yellow Black Black Yellow Yellow Green Black Yellow Black Green\nBlack Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Yellow Black Black Yellow Yellow Black Black Black Green Black\nBlack Black Black Black Green Black Black Black Black Green Black Black\nBlack Black Yellow Green Black Black Black Yellow Black Yellow Green Black\nBlack Black Black Black Black Black Black Yellow Black Black Green Black\nYellow Black Yellow Yellow Black Black Yellow Black Black Yellow Yellow Black\nBlack Black Black Black Yellow Black Green Green Black Black Black Yellow\n\nOutput:\nBlack Black Green Black Black Green Green Yellow Black Green Black Yellow\nBlack Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Green Black Black Green Green Black Black Black Yellow Black\nBlack Black Black Black Yellow Black Black Black Black Yellow Black Black\nBlack Black Green Yellow Black Black Black Green Black Green Yellow Black\nBlack Black Black Black Black Black Black Green Black Black Yellow Black\nGreen Black Green Green Black Black Green Black Black Green Green Black\nBlack Black Black Black Green Black Yellow Yellow Black Black Black Green\n\n\nExample 2\nInput:\nBlack Black Black Black Yellow Green Black Green Green Black\nBlack Black Black Black Black Green Yellow Green Yellow Black\nBlack Green Black Black Black Yellow Black Black Green Green\nYellow Yellow Black Green Black Black Black Green Black Green\nGreen Black Black Green Green Green Black Black Green Green\nGreen Green Green Black Black Black Green Black Black Yellow\nGreen Black Black Green Black Green Green Green Green Black\n\nOutput:\nBlack Black Black Black Green Yellow Black Yellow Yellow Black\nBlack Black Black Black Black Yellow Green Yellow Green Black\nBlack Yellow Black Black Black Green Black Black Yellow Yellow\nGreen Green Black Yellow Black Black Black Yellow Black Yellow\nYellow Black Black Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Yellow Black Black Black Yellow Black Black Green\nYellow Black Black Yellow Black Yellow Yellow Yellow Yellow Black\n\n\nExample 3\nInput:\nYellow Black Black Green Black Black Yellow Yellow Black Black Black\nBlack Black Black Yellow Black Black Yellow Black Black Yellow Black\nBlack Black Yellow Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Yellow Black Black Black Yellow\nBlack Black Yellow Black Black Yellow Black Black Black Green Yellow\nBlack Yellow Black Black Yellow Green Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Green Black Black Black\n\nOutput:\nGreen Black Black Yellow Black Black Green Green Black Black Black\nBlack Black Black Green Black Black Green Black Black Green Black\nBlack Black Green Black Black Black Green Black Black Black Black\nBlack Black Black Black Green Black Green Black Black Black Green\nBlack Black Green Black Black Green Black Black Black Yellow Green\nBlack Green Black Black Green Yellow Green Green Green Green Black\nBlack Black Black Black Black Black Black Yellow Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Yellow Green Yellow Yellow Yellow Green Black Black\nGreen Black Black Green Green Yellow Black Yellow Green\nBlack Yellow Yellow Black Green Green Green Yellow Green\nYellow Black Green Black Black Black Yellow Black Green\nGreen Black Yellow Black Yellow Yellow Yellow Black Yellow\nBlack Green Green Black Yellow Yellow Black Black Yellow\nYellow Green Black Yellow Green Yellow Yellow Green Green\nGreen Black Yellow Green Black Green Yellow Yellow Yellow\nGreen Green Green Yellow Green Black Yellow Black Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Green Yellow Green Green Green Yellow Black Black\nYellow Black Black Yellow Yellow Green Black Green Yellow\nBlack Green Green Black Yellow Yellow Yellow Green Yellow\nGreen Black Yellow Black Black Black Green Black Yellow\nYellow Black Green Black Green Green Green Black Green\nBlack Yellow Yellow Black Green Green Black Black Green\nGreen Yellow Black Green Yellow Green Green Yellow Yellow\nYellow Black Green Yellow Black Yellow Green Green Green\nYellow Yellow Yellow Green Yellow Black Green Black Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Orange Pink Yellow Pink Brown Purple Gray\nPurple Orange Pink Yellow Pink Brown Purple Gray\nPurple Orange Pink Yellow Pink Brown Purple Gray\nPurple Orange Pink Yellow Pink Brown Purple Gray\nPurple Orange Pink Yellow Pink Brown Purple Gray\nPurple Orange Pink Yellow Pink Brown Purple Gray\nPurple Orange Pink Yellow Pink Brown Purple Gray\nPurple Orange Pink Yellow Pink Brown Purple Gray\nPurple Orange Pink Yellow Pink Brown Purple Gray\nPurple Orange Pink Yellow Pink Brown Purple Gray\n\nOutput:\nPink Green Purple Red Purple Brown Pink Blue\nPink Green Purple Red Purple Brown Pink Blue\nPink Green Purple Red Purple Brown Pink Blue\nPink Green Purple Red Purple Brown Pink Blue\nPink Green Purple Red Purple Brown Pink Blue\nPink Green Purple Red Purple Brown Pink Blue\nPink Green Purple Red Purple Brown Pink Blue\nPink Green Purple Red Purple Brown Pink Blue\nPink Green Purple Red Purple Brown Pink Blue\nPink Green Purple Red Purple Brown Pink Blue\n\n\nExample 2\nInput:\nOrange Yellow Blue Red Green Pink Blue Gray Red Orange\nOrange Yellow Blue Red Green Pink Blue Gray Red Orange\nOrange Yellow Blue Red Green Pink Blue Gray Red Orange\nOrange Yellow Blue Red Green Pink Blue Gray Red Orange\nOrange Yellow Blue Red Green Pink Blue Gray Red Orange\nOrange Yellow Blue Red Green Pink Blue Gray Red Orange\nOrange Yellow Blue Red Green Pink Blue Gray Red Orange\n\nOutput:\nGreen Red Gray Orange Yellow Purple Gray Blue Orange Green\nGreen Red Gray Orange Yellow Purple Gray Blue Orange Green\nGreen Red Gray Orange Yellow Purple Gray Blue Orange Green\nGreen Red Gray Orange Yellow Purple Gray Blue Orange Green\nGreen Red Gray Orange Yellow Purple Gray Blue Orange Green\nGreen Red Gray Orange Yellow Purple Gray Blue Orange Green\nGreen Red Gray Orange Yellow Purple Gray Blue Orange Green\n\n\nExample 3\nInput:\nBrown Yellow Yellow Red Green Blue Orange Purple Pink\nBrown Yellow Yellow Red Green Blue Orange Purple Pink\nBrown Yellow Yellow Red Green Blue Orange Purple Pink\nBrown Yellow Yellow Red Green Blue Orange Purple Pink\nBrown Yellow Yellow Red Green Blue Orange Purple Pink\nBrown Yellow Yellow Red Green Blue Orange Purple Pink\nBrown Yellow Yellow Red Green Blue Orange Purple Pink\n\nOutput:\nBrown Red Red Orange Yellow Gray Green Pink Purple\nBrown Red Red Orange Yellow Gray Green Pink Purple\nBrown Red Red Orange Yellow Gray Green Pink Purple\nBrown Red Red Orange Yellow Gray Green Pink Purple\nBrown Red Red Orange Yellow Gray Green Pink Purple\nBrown Red Red Orange Yellow Gray Green Pink Purple\nBrown Red Red Orange Yellow Gray Green Pink Purple\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Green Pink Brown Gray Brown Blue Pink\nPink Gray Green Pink Brown Gray Brown Blue Pink\nPink Gray Green Pink Brown Gray Brown Blue Pink\nPink Gray Green Pink Brown Gray Brown Blue Pink\nPink Gray Green Pink Brown Gray Brown Blue Pink\nPink Gray Green Pink Brown Gray Brown Blue Pink\nPink Gray Green Pink Brown Gray Brown Blue Pink\nPink Gray Green Pink Brown Gray Brown Blue Pink\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```\nPurple Blue Yellow Purple Brown Blue Brown Gray Purple\nPurple Blue Yellow Purple Brown Blue Brown Gray Purple\nPurple Blue Yellow Purple Brown Blue Brown Gray Purple\nPurple Blue Yellow Purple Brown Blue Brown Gray Purple\nPurple Blue Yellow Purple Brown Blue Brown Gray Purple\nPurple Blue Yellow Purple Brown Blue Brown Gray Purple\nPurple Blue Yellow Purple Brown Blue Brown Gray Purple\nPurple Blue Yellow Purple Brown Blue Brown Gray Purple\nPurple Blue Yellow Purple Brown Blue Brown Gray Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Blue Brown Brown Black Black Black Black Black\nBlack Black Black Green Green Pink Brown Black Black Black Black Black\nBlack Black Black Yellow Yellow Green Blue Black Black Black Black Black\nBlack Black Black Yellow Yellow Green Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Yellow Yellow Green Purple Black Black Black Black Black\nBlack Black Black Yellow Yellow Green Blue Black Black Black Black Black\nBlack Black Black Green Green Pink Brown Black Black Black Black Black\nBlack Black Black Purple Blue Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black\nBlack Black Black Green Orange Orange Green Black Black Black\nBlack Black Black Green Purple Purple Green Black Black Black\nBlack Black Black Orange Yellow Yellow Orange 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 Orange Green Green Red Black Black Black\nBlack Black Black Yellow Purple Orange Red Black Black Black\nBlack Black Black Yellow Purple Orange Red Black Black Black\nBlack Black Black Orange Green Green Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Blue Blue Black Black Black Black Black Black\nBlack Black Black Green Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black\nRed 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nRed 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Pink Yellow Pink Brown Purple Gray Pink Orange Brown Green Green\nOrange Orange Brown Orange Gray Orange Blue Pink Gray Purple Orange Yellow\nPurple Red Orange Orange Green Orange Blue Purple Green Green Green Purple\nYellow Gray Brown Purple Brown Orange Yellow Yellow Green Orange Purple Gray\nPink Pink Purple Gray Brown Blue Purple Purple Yellow Yellow Gray Yellow\nPink Blue Green Purple Brown Purple Blue Yellow Red Gray Pink Orange\nRed Brown Red Brown Red Purple Purple Orange Pink Red Orange Brown\nBlue Brown Gray Pink Blue Blue Yellow Purple Blue Blue Orange Purple\n\nOutput:\nOrange Orange Yellow Green Green Gray Pink Pink Brown Purple Pink Brown\nOrange Orange Orange Orange Orange Yellow Blue Gray Gray Brown Pink Purple\nRed Orange Orange Orange Green Green Green Green Blue Purple Purple Purple\nOrange Orange Yellow Yellow Yellow Green Gray Gray Brown Purple Brown Purple\nYellow Yellow Yellow Blue Gray Gray Pink Pink Purple Brown Purple Purple\nRed Orange Yellow Green Blue Blue Gray Pink Purple Brown Purple Pink\nRed Red Red Red Orange Orange Brown Brown Purple Purple Pink Brown\nOrange Yellow Blue Blue Blue Blue Blue Gray Brown Pink Purple Purple\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\nOrange Yellow Blue Purple Purple Pink Orange Blue Green Red\nPink Blue Purple Red Purple Gray Pink Gray Yellow Purple\nPink Orange Red Pink Orange Yellow Brown Gray Gray Orange\nPink Orange Orange Brown Brown Purple Purple Purple Red Yellow\n\nOutput:\nRed Red Orange Orange Yellow Green Blue Blue Gray Pink\nBlue Gray Brown Purple Brown Brown Brown Purple Purple Brown\nOrange Orange Yellow Yellow Green Green Blue Pink Brown Pink\nRed Orange Orange Yellow Green Blue Blue Purple Purple Pink\nRed Yellow Blue Gray Gray Pink Purple Purple Pink Purple\nRed Orange Orange Orange Yellow Gray Gray Pink Pink Brown\nRed Orange Orange Yellow Pink Brown Brown Purple Purple Purple\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\nBrown Yellow Brown Pink Blue Gray Green Gray Blue Blue Purple\nOrange Purple Red Brown Green Blue Green Yellow Green Blue Yellow\nYellow Blue Orange Yellow Brown Brown Pink Purple Blue Orange Green\nGray Blue Green Blue Gray Pink Brown Yellow Pink Pink Purple\n\nOutput:\nRed Orange Orange Yellow Yellow Green Blue Gray Brown Purple Pink\nOrange Yellow Green Blue Blue Blue Gray Pink Purple Purple Brown\nRed Orange Orange Yellow Green Gray Gray Pink Purple Pink Purple\nYellow Green Blue Blue Blue Gray Gray Brown Brown Pink Purple\nRed Orange Yellow Yellow Green Green Green Blue Blue Purple Brown\nOrange Orange Yellow Yellow Green Blue Blue Brown Brown Pink Purple\nYellow Green Blue Blue Gray Gray Pink Brown Pink Pink Purple\n\n\nHere is the input grid for the test example:\nInput:\nPink Gray Green Pink Brown Gray Brown Blue Pink\nGray Pink Gray Pink Brown Brown Orange Pink Pink\nPink Purple Brown Yellow Blue Orange Orange Pink Gray\nBlue Red Pink Brown Red Purple Orange Blue Orange\nYellow Purple Green Gray Orange Red Pink Green Green\nBrown Orange Purple Purple Yellow Blue Green Red Purple\nPurple Brown Orange Brown Yellow Blue Pink Blue Yellow\nGray Gray Red Purple Blue Red Yellow Orange Blue\nGray Purple Orange Green Purple Green Pink Red Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Blue Gray Gray Pink Pink Brown Brown Pink\nOrange Gray Gray Pink Pink Brown Brown Pink Pink\nOrange Orange Yellow Blue Gray Pink Purple Brown Pink\nRed Red Orange Orange Blue Blue Pink Brown Purple\nRed Orange Yellow Green Green Green Gray Purple Pink\nRed Orange Yellow Green Blue Brown Purple Purple Purple\nOrange Yellow Yellow Blue Blue Purple Brown Brown Pink\nRed Red Orange Yellow Blue Blue Gray Gray Purple\nRed Orange Yellow Green Green Gray Purple Purple 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\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Yellow Black Black Black\nBlack 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\nYellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Green Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black 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 Green Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Green 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 Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Pink Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Pink Pink Pink Black Black Pink Pink Pink Black\nBlack Pink Pink Pink Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Pink Pink Pink Black\nBlack Pink Pink Pink Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Pink Pink Pink Black\nBlack Pink Pink Pink Black Black Pink Pink Pink Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Red Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Red Red Red Black Black Red Red Red Black\nBlack Red Red Red Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Red Red Red Black\nBlack Red Red Red Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Red Red Red Black\nBlack Red Red Red Black Black Red Red Red Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Purple Purple Purple 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack 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 Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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 Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Black\nBlack Green Green Green Green Green Green Green Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Red Black Blue Blue Gray\nBlack Black Yellow Blue Blue Black\nBrown Gray Black Orange Gray Black\nBlack Brown Brown Black Black Black\nBlack Blue Black Black Black Orange\nBrown Blue Yellow Black Black Black\n\nOutput:\nBlack Red Black Yellow Yellow Gray\nBlack Black Yellow Yellow Yellow Black\nBrown Gray Black Orange Gray Black\nBlack Brown Brown Black Black Black\nBlack Blue Black Black Black Orange\nBrown Blue Yellow Black Black Black\n\n\nExample 2\nInput:\nYellow Purple Black Purple Pink Black\nBlack Black Black Black Black Black\nBlack Black Gray Gray Black Purple\nBlack Black Gray Gray Black Black\nGreen Gray Black Brown Black Black\nBlack Black Gray Black Black Yellow\nBlue Blue Green Black Black Yellow\n\nOutput:\nYellow Purple Black Purple Pink Black\nBlack Black Black Black Black Black\nBlack Black Yellow Yellow Black Purple\nBlack Black Yellow Yellow Black Black\nGreen Gray Black Brown Black Black\nBlack Black Gray Black Black Yellow\nBlue Blue Green Black Black Yellow\n\n\nExample 3\nInput:\nBlack Blue Black Green Black Black Black\nRed Black Black Blue Black Black Gray\nBlack Black Red Red Orange Red Black\nGray Black Red Red Black Black Black\nBlack Gray Black Pink Black Orange Black\n\nOutput:\nBlack Blue Black Green Black Black Black\nRed Black Black Blue Black Black Gray\nBlack Black Yellow Yellow Orange Red Black\nGray Black Yellow Yellow Black Black Black\nBlack Gray Black Pink Black Orange Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Gray Purple Orange\nBlack Black Green Green Yellow\nOrange Orange Green Green Blue\nRed Black Black Black Gray\nOrange Black Black Black Black\nBlack Black Black Black Brown\nBlack Orange Gray Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Gray Purple Orange\nBlack Black Yellow Yellow Yellow\nOrange Orange Yellow Yellow Blue\nRed Black Black Black Gray\nOrange Black Black Black Black\nBlack Black Black Black Brown\nBlack Orange Gray Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Pink\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 Yellow Yellow Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Brown Brown Brown Green Green Green\nGreen Green Green Green Brown Brown Brown Green Green Green\nGreen Green Green Green Brown Brown Brown Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Pink Pink Pink\nGreen Green Green Green Green Green Green Pink Pink Pink\nGreen Green Green Green Green Green Yellow Yellow Green Green\nGreen Green Green Green Green Green Yellow Yellow Green Green\nGreen Green Green Green Green Green Yellow Yellow Green Green\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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Red Red Red\nBlue Blue Black Black Black Black Black Black Orange Orange\nBlue Blue 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 Yellow Yellow Green Green Green\nGreen Green Green Green Yellow Yellow Yellow 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\nBlue Blue Green Green Green Green Green Red Red Red\nBlue Blue Green Green Green Green Green Green Orange Orange\nBlue Blue 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\nRed Red Black Black Black Black Black Brown Black Black\nRed Red Black Black Black Black Black Brown Black Black\nRed Red Black Black Black Green Green Brown Black Black\nBlack Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Purple\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\nRed Red Green Green Green Green Green Brown Green Green\nRed Red Green Green Green Green Green Brown Green Green\nRed Red Green Green Green Green Green Brown 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 Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Gray Gray 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 Pink Pink 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\nBlack Black Gray Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Gray Gray Gray Black\nGray Gray Gray Gray Gray\nBlack Gray Gray Gray Black\nBlack Black Gray Black Black\nBlack Black Gray Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Purple Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nPurple Purple Purple Black Black\nPurple Purple Purple Purple Purple\nPurple Purple Purple Black Black\nBlack Purple Black Black Black\nBlack Purple Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Gray Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Gray Black Black\nBlack Gray Gray Gray Black\nGray Gray Gray Gray Gray\nBlack Gray Gray Gray Black\nBlack Black Gray Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Red Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Black Black\nRed Red Red Red Red\nRed Red Red Black Black\nBlack Red Black Black Black\nBlack Red Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Blue Blue Blue\nBlack Black Black Black Black Black Red Red Black Black Blue Black Blue\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Blue\nBlack Red Red Red Black Black Red Red Red Black Blue Black Blue\nBlack 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\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\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Green Green Green\nBlack Black Black Black Black Black Red Red Black Black Green Black Green\nBlack Black Black Black Black Black Red Red Black Black Green Green Green\nBlack Red Red Red Black Black Red Red Red Black Green Black Green\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Red Red Black Black\nBlack Black Black Blue Black Black Black Black Black Black Red Red Black Black\nBlack Red Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Red Black Black Black Black Black Black Black Black Red Red Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Red Red Black Black\nBlack Black Black Green Black Black Black Black Black Black Red Red Black Black\nBlack Red Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Red Black Black Black Black Black Black Black Black Red Red Black Black\nRed Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Green Green Green Black Black Black Black Black Black Black\nBlack Black Green Green Green 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 Gray Gray Black Black Blue Black Black Black Red Red Black\nBlack Black Gray Gray Gray Black Blue Blue Blue Black Black Black Red Black\nBlack Black Black Gray Gray Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Gray Black Black Black Black\nBlack Black Black Red Red Red Black Black Gray Gray Gray Black Black Black\nBlack Black Black Red Black Red Black Black Gray Gray Gray Black Black Black\nBlack Black Black Red Black Red Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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 Gray Gray Black Black Green Black Black Black Red Red Black\nBlack Black Gray Gray Gray Black Green Green Green Black Black Black Red Black\nBlack Black Black Gray Gray Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Gray Black Black Black Black\nBlack Black Black Red Red Red Black Black Gray Gray Gray Black Black Black\nBlack Black Black Red Black Red Black Black Gray Gray Gray Black Black Black\nBlack Black Black Red Black Red Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Blue Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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:\nBlue Blue Blue\nBlue Blue Black\nBlue Blue Black\nBlue 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red\nRed Red Red Red Red\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 Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red\nRed Red\nRed Red\nRed Red\nBlack Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Blue Blue Black Black Black\nBlack Blue Blue Blue Black Blue Black\nBlack Black Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black\nBlack Blue Black Blue Blue Blue Black\nBlack Black Black Blue 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 Orange Gray Purple Gray Black Black\nBlack Orange Purple Purple Purple Red Red Yellow\nOrange Purple Blue Green Purple Green Orange Yellow\nGray Purple Green Black Green Green Green Yellow\nPurple Purple Purple Green Black Green Green Yellow\nGray Red Green Green Green Green Green Yellow\nBlack Red Orange Green Green Green Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black\n\nOutput:\nBlack Green Green Green Green Green Black Black\nBlack Red Orange Green Green Green Black Black\nGray Red Green Green Green Green Green Green\nPurple Purple Purple Green Black Green Green Green\nGray Purple Green Black Green Green Green Green\nOrange Purple Red Green Purple Green Orange Green\nBlack Orange Purple Purple Purple Red Red Green\nBlack Black Orange Gray Purple Gray Black Black\n\n\nExample 2\nInput:\nBlack Orange Gray Gray Black Black Black\nBlack Black Yellow Gray Black Black Orange\nBlack Black Yellow Gray Yellow Yellow Gray\nGray Gray Gray Gray Gray Gray Gray\nGray Yellow Yellow Gray Yellow Black Black\nOrange Black Black Gray Yellow Black Black\nBlack Black Black Gray Gray Orange Black\n\nOutput:\nBlack Black Black Gray Gray Orange Black\nOrange Black Black Gray Green Black Black\nGray Green Green Gray Green Black Black\nGray Gray Gray Gray Gray Gray Gray\nBlack Black Green Gray Green Green Gray\nBlack Black Green Gray Black Black Orange\nBlack Orange Gray Gray Black Black Black\n\n\nExample 3\nInput:\nBlack Gray Yellow Yellow Yellow Yellow Yellow Gray Black\nBlack Gray Yellow Blue Black Blue Yellow Gray Black\nBlack Black Yellow Blue Black Blue Yellow Black Black\nBrown Black Blue Yellow Black Yellow Blue Black Brown\nBrown Pink Pink Yellow Yellow Yellow Pink Pink Brown\nOrange Brown Orange Orange Red Orange Orange Brown Orange\nBlue Blue Yellow Brown Black Brown Yellow Blue Blue\n\nOutput:\nRed Red Green Purple Black Purple Green Red Red\nOrange Purple Orange Orange Red Orange Orange Purple Orange\nPurple Orange Orange Green Green Green Orange Orange Purple\nPurple Black Red Green Black Green Red Black Purple\nBlack Black Green Red Black Red Green Black Black\nBlack Gray Green Red Black Red Green Gray Black\nBlack Gray Green Green Green Green Green Gray Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Blue Purple Black Black Black Black\nBlack Black Gray Purple Purple Black Black Black Black\nBlack Black Black Blue Blue Green Black Gray Black\nBlack Black Green Blue Yellow Blue Blue Purple Blue\nPurple Purple Blue Yellow Red Yellow Blue Purple Purple\nBlue Purple Blue Blue Yellow Blue Green Black Black\nBlack Gray Black Green Blue Blue Black Black Black\nBlack Black Black Black Purple Purple Gray Black Black\nBlack Black Black Black Purple Blue Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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 Red Black Black Black\nBlack Black Black Black Purple Purple Gray Black Black\nBlack Gray Black Green Red Red Black Black Black\nRed Purple Red Red Green Red Green Black Black\nPurple Purple Red Green Red Green Red Purple Purple\nBlack Black Green Red Green Red Red Purple Red\nBlack Black Black Red Red Green Black Gray Black\nBlack Black Gray Purple Purple Black Black Black Black\nBlack Black Black Red Purple Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Gray Black\nBlack Black Black\nBrown Pink Black\nBlack Yellow Red\n\nOutput:\nPurple Purple Purple Gray Gray Gray Black Black Black\nPurple Purple Purple Gray Gray Gray Black Black Black\nPurple Purple Purple Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBrown Brown Brown Pink Pink Pink Black Black Black\nBrown Brown Brown Pink Pink Pink Black Black Black\nBrown Brown Brown Pink Pink Pink Black Black Black\nBlack Black Black Yellow Yellow Yellow Red Red Red\nBlack Black Black Yellow Yellow Yellow Red Red Red\nBlack Black Black Yellow Yellow Yellow Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black\nBlack Black Green Black\nBlack Black Yellow Orange\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 Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\nBlack Black Black Black Black Black Yellow Yellow Yellow Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Brown\nBlack Black Black Red\nBlack Black Black Black\nBlack Blue Pink Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Pink Pink Pink Gray Gray Gray\nBlack Black Black Blue Blue Blue Pink Pink Pink Gray Gray Gray\nBlack Black Black Blue Blue Blue Pink Pink Pink Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red\nBlack 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```\nBlack Black Black Red Red Red\nBlack Black Black Red Red Red\nBlack Black Black Red Red Red\nBlack Black Black Orange Orange Orange\nBlack Black Black Orange Orange Orange\nBlack Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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:\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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```\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink Pink Pink Pink\nPink 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Blue Blue 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 Red Black Black Black\nBlack Black Black Red 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 Blue Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Red Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Purple 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Pink Pink Pink Green Black Black\nBlack Black Black Red Pink Yellow Black Black\nBlack Black Black Green Black Black Black Black\nBlack Black Black Green Black Black Black Black\nBlack Black Black Red Pink Yellow Black Black\nBlack Black Pink Pink Pink Green Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Black Blue Blue Blue Black Black\nBlack Black Black Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Black Black Yellow 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 Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Black Black\nBlack Blue Black Black Blue Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Red Black\nBlack Black Black Black Black Red Black\nBlack Black Black Black Black Red Black\nBlack Black Black Black Black Pink Black\nBlack Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Red Pink Yellow Red Red Pink Black\nBlack Black Red Red Yellow Yellow Yellow Pink Black\nBlack Black Black Black Black Black Red Green Black\nBlack Black Red Red Yellow Yellow Yellow Pink Black\nBlack Black Red Pink Yellow Red Red Pink 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 Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Orange Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Green Green Black\nBlack Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow 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 Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow 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 Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Black Black Black\nBlack Black Black Black Red Purple Black Black Black\nBlack Black Black Purple Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Red 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 Black Black Black Black Purple Black\nBlack Black Black Black Black Black Red Purple Black\nBlack Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Red Purple Black\nBlack Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple\nBlack Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Purple Black Black\nBlack Black Black Black Black Black Purple Red Black\nBlack Black Black Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Red 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\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black\nBlack Black Black Black Purple Red Purple Black Black\nBlack Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green 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 Purple Purple Purple Purple Black\nBlack Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink 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\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 Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Green Green Green 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\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 Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Red Brown Brown Black Black Black\nPurple Purple Purple Red Brown Brown Black Black Black\nPurple Purple Purple Red Black Red Black Black Black\nPurple Purple Purple Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black\nGray Brown Brown Brown Black Black Black Black Black\nGray Black Brown Black Brown Brown Black Black Black\nBlack Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Red Brown Brown Black Black Black\nPurple Purple Purple Red Brown Brown Black Black Black\nPurple Purple Purple Red Black Red Black Black Black\nPurple Purple Purple Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black\nGray Brown Brown Brown Black Black Black Black Black\nGray Black Brown Black Black Black Black Red Brown\nBlack Black Black Black Purple Purple Purple Red Brown\nBlack Black Black Black Purple Purple Purple Red Black\nBlack Black Black Black Purple Purple Purple Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Black Green Green Black Black Black\nBlack Purple Black Black Green Green Green Blue Blue Black\nPurple Purple Purple Red Green Green Black Blue Blue Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Pink Pink Pink Black\nBlack Black Green Green Green Brown Brown Pink Pink Black\nBlack Black Green Green Green Brown Brown 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\nPurple Purple Purple Black Black Green Green Black Black Black\nBlack Purple Black Black Green Green Green Blue Blue Black\nPurple Purple Purple Red Green Green Black Blue Blue Black\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Green Green Black\nBlack Black Black Purple Black Black Green Green Green Blue\nBlack Black Purple Purple Purple Red Green Green Black Blue\nBlack Black Black Black Black Red 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 Pink Black Pink Black Black Black Purple Purple Black\nBlack Pink Pink Pink Purple Pink Orange Pink Purple Black\nBlack Pink Pink Pink Gray Gray Gray Pink Black Black\nBlack Black Black Black Gray Gray Gray Pink Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black\nBlack Green Green Black Black Black Black Black Black Black\nBlack Green Green Black Black Black 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 Pink Black Pink Black Black Black Purple Purple Black\nBlack Pink Pink Pink Purple Pink Orange Pink Purple Black\nBlack Pink Pink Pink Gray Gray Gray Pink Black Black\nBlack Black Black Black Gray Gray Gray Pink Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black\nBlack Pink Black Pink Black Black Black Purple Purple Black\nBlack Pink Pink Pink Purple Pink Orange Pink Purple Black\nBlack Pink Pink Pink Gray Gray Gray Pink Black Black\nBlack Black Black Black Gray Gray Gray Pink Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Red Red Yellow Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Yellow Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Red Red Yellow Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Yellow Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Yellow Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black\nBlack Black Yellow Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Brown Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Brown Brown Brown Black Black\nBlack Black Black Black Black Black Brown Black Black Brown 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\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Brown Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Black Black\nBlack Black Black Brown Black Black Brown Black Black Brown Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Brown Brown Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink 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 Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Black\nBlack Black Brown Brown Brown Brown 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 Brown Brown Black\nBlack Black Black Black Brown Brown Brown\nBlack Black Black Black Brown Brown Brown\nBlack Black Black Black Brown Brown Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black\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\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 Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue 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\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 Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black Black Black Pink Black Pink Pink Pink Pink Black Pink Black\nBlack Black Black Black Black Purple Black Black Purple Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Purple Black Black Purple Purple Black Black Black Pink Pink Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Purple Orange Orange Orange Orange Black Black Black Pink Pink Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Orange Purple Black Orange Black Black Black Pink Pink Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Orange Black Black Orange Orange Black Black Black Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Pink Black Pink Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Black Black Pink Black Black Black Black Pink Black Pink Black Black Black Black Black Black Black\nOrange Orange Black Orange Purple Orange Pink Pink Black Black Black Black Pink Black Pink Black Black Black Black Black Black Black\nPurple Orange Black Orange Purple Black Orange Pink Black Black Black Black Pink Black Pink Black Black Black Black Black Black Black\nBlack Orange Purple Purple Purple Black Orange Pink Pink Pink Pink Pink Black Black Pink Black Black Black Black Black Black Black\nOrange Orange Purple Orange Orange Orange Orange Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Pink 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 Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Red Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nRed Black Black Black Black Black Black Red Black Gray Black Black Black Black Gray Black Black Black Black Black\nRed Black Black Black Purple Purple Purple Purple Black Gray Black Black Black Black Gray Black Black Black Black Black\nRed Brown Brown Brown Purple Black Black Purple Red Gray Black Black Black Black Gray Gray Black Black Black Black\nBrown Black Black Black Purple Brown Black Purple Purple Gray Black Black Black Black Gray Black Black Black Black Black\nBrown Black Black Black Purple Purple Purple Purple Black Black Gray Gray Gray Gray Black Black Black Black Black Black\nBrown Red Red Red Red Brown Purple Black Black Black Yellow Black Gray Yellow Black Black Black Black Black Black\nBrown Black Black Black Red Brown Black Black Black Black Yellow Black Black Yellow Yellow Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Brown Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Brown Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Brown Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nRed Red Purple Purple Purple Purple Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Purple Brown Black Purple Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Purple Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Gray Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Gray Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Brown Brown Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Green Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Green Green Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Gray Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Green Green Green Green Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Gray Green Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Gray Black Black Black Black Gray Brown Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Gray Brown Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Gray Black Black Black Black Gray Brown Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Brown Black Black Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Brown Black Black Black Black Black Black Brown 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\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Brown Pink Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Brown Pink Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Pink Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Green Pink Brown Pink Black Green Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Pink Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Pink Pink Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Pink Pink Pink Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nGreen Pink Black Black Pink Brown Black Black Brown Black Black Black Black Black Black Black Black Black Black\nGreen Pink Black Black Brown Brown Black Black Brown Black Black Black Black Black Black Black Black Black Black\nGreen Pink Pink Pink Pink Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nGreen Black Pink Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Green Green Pink Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Pink Pink Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink 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 Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black\nBlack Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black\nBlack Black Black Black Purple Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Black Yellow Yellow Black Black\nBlack Black Black Purple Purple Black Yellow Yellow Black Black\nBlack Purple Purple Purple Purple Black Black Black Black Black\nBlack Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Yellow Yellow Black Black\nBlack Black Black Black Purple Purple Yellow Yellow Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Yellow Yellow Black Purple Purple Purple Purple Black\nBlack Black Black Yellow Yellow Black Purple Purple Purple Purple 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 Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Purple Purple Purple Purple Black Black\nBlack Black Black Yellow Yellow Purple Purple Purple Purple Black Black\nBlack Black Black Yellow Yellow Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black\nBlack Purple Purple Purple Black Black Black\nBlack Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Black Black Black Black\nBlack Black Purple Black Black Black Black\nBlack Purple Purple Purple Black Black Black\nBlack Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black 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 Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Orange Orange Orange Orange Orange Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Orange Orange Orange Orange Orange Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Orange Orange Orange Orange Orange Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Orange Orange Orange Orange Orange Pink Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Pink\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Green\nOrange Orange Orange Orange Orange Green Black Black Black Black Black Black Black Black Green\nOrange Orange Orange Orange Orange Green Black Black Black Black Black Black Black Black Green\nOrange Orange Orange Orange Orange Green Black Black Black Black Black Black Black Black Green\nGreen Green Green Green Green Green Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\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 Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nOrange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black\nOrange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black\nOrange Orange Orange Orange Orange Green Green Green Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Gray Gray Gray Gray Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Gray Gray Gray Gray Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Gray Gray Gray Gray Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Gray Gray Gray Gray Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Gray Gray Gray Gray Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Pink Pink Pink Gray Black Black Black Black\nBlack Black Black Black Black Gray Pink Pink Pink Gray Black Black Black Black\nBlack Black Black Black Black Gray Pink Pink Pink Gray Black Black Black Black\nBlack Black Black Black Black Gray Pink Pink Pink Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Black Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Pink Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Yellow Yellow Yellow 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 Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Brown 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 Green Green\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Green Green\nBlack Black Black Purple Purple Purple 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 Brown Brown Brown Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink 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 Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Yellow Yellow Yellow 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 Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Black Black Brown 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 Green Green\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Brown Black Green Brown\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Brown Brown Black Black Brown\nBlack Black Black Black Black Black Pink Pink Pink Pink 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 Gray Gray Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Black 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 Gray Black Black Gray Black Black Green Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Purple Purple Black Black Black Black Green Black Black Green Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green 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 Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Black Black Black Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red 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 Black\nBlack Black Black Black Black Black Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Gray Green Green Green Green Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Purple Purple Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green 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 Yellow Yellow Black Black Black Black Black\nBlack 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\nBlack Brown Brown Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink 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\nGray Gray Gray Black Black Black Orange Orange Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Brown Brown Brown Brown Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink 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\nGray Gray Gray Black Black Black Orange Orange Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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 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 Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 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 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 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 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 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 Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue 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 Black Blue Blue Blue Blue Blue Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue 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 Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Red Red Red Red Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Red Red Red Red Red Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Blue Blue Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue 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\nPink Black Pink Pink Pink\nBlack Pink Black Pink Black\nBlack Black Pink Pink Pink\n\nOutput:\nBlack Black Black Black Black Black Pink Black Black Black\nPink Black Pink Pink Pink Pink Black Black Black Black\nBlack Pink Black Pink Pink Black Pink Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Black Pink Black Black Black\nBlack Pink Black Pink Pink Pink Pink Black Black Black\nBlack Pink Pink Pink Black Pink Black Pink Black Black\nBlack Pink Black Pink Pink Pink Pink Black Pink Black\n\n\nExample 2\nInput:\nBlack Orange Black Black\nOrange Black Black Orange\nOrange Black Orange Orange\nOrange Black Orange Orange\nOrange Orange Orange Black\n\nOutput:\nBlack Orange Black Black Black Orange Orange Orange\nOrange Black Black Orange Black Orange Black Black\nOrange Black Orange Orange Black Orange Orange Orange\nOrange Black Orange Orange Black Black Orange Orange\nOrange Orange Orange Orange Black Black Orange Orange\nBlack Black Orange Orange Orange Orange Orange Black\nOrange Black Black Black Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Gray Black Black Black\nBlack Gray Black Black Gray\nBlack Black Black Gray Black\nBlack Gray Gray Gray Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Gray Black Gray Gray Black\nBlack Gray Black Black Gray Gray Black Black Black Black\nBlack Black Black Gray Black Gray Gray Black Black Black\nBlack Gray Gray Gray Gray Gray Black Gray Black Black\nBlack Black Gray Black Gray Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Black Gray Black Black Black\nBlack Black Black Black Gray Gray Black Black Gray Black\nBlack Gray Gray Black Gray Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Black\nBlack Black Pink\nBlack Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Black Black Black Pink\nBlack Black Pink Pink Black Pink\nBlack Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Black\nPink Black Pink Pink Black Black\nPink Black Black Black Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Brown Black Black Brown Black Black Black Black Blue Black Blue Blue Black\nBlack Black Yellow Black Yellow Gray Gray Brown Black Black Black Black Blue Black Black Blue Black\nYellow Yellow Yellow Yellow Black Gray Purple Gray Black Black Purple Black Black Black Black Black Black\nYellow Black Yellow Brown Black Gray Purple Gray Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Yellow Brown Brown Black Black Black Purple Black Black Black Black Black Black\nYellow Black Black Yellow Yellow Black Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Pink Pink Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Orange Pink Black Black Black Black Black\nBlack Black Black Black Green Pink Black Orange Pink Black Black Black Black Black Black\nBlack Black Black Green Black Black Green Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Pink Black Purple Black Purple Purple Purple Black\nBlack Black Black Black Black Black Green Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Purple Purple Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Gray Gray Gray Purple Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Pink Pink Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Blue Black Green Yellow Green Green Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Green Black Black\nBlack Black Black Gray Gray Gray Black Yellow Black Yellow Yellow Green Green Black Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Purple Black Black Black Black Black\nGray Black Gray Gray Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Blue Blue Black Purple Red Red Red Black\nGray Gray Black Black Black Purple Black Purple Blue Purple Red Black Black Black\nBlack Black Black Black Black Brown Black Brown Blue Red Red Black Red Black\nBlack Black Black Black Black Brown Black Black Brown Brown Red Red Red Black\nBlack Black Black Black Black Brown Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nGreen Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Green Green Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green 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\nBlack Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 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\nBlack Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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 Green Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow 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\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Green\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Green Green Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Green Green Green Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Green Green Green Green Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Green Green Green Green Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 2\nInput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red Red Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Red Gray Red Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Purple\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Purple Purple Purple Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Purple Purple Purple Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Purple Gray Purple Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Red Red Red Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Red Red Red Red Red Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Red Red Pink Red Red Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Brown\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Brown Brown Pink Brown Brown Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Yellow Yellow Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Yellow Yellow Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBrown Black Black Purple Black Black Black Black\nBlack Black Gray Black Black Black Black Black\nBlack Black Black Pink Black Black Black Black\nBlack Black Orange 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 Brown\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown\nBlack Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Pink Black Black Black Black Black\nRed Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Green Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Pink Blue\nBlack Black Black Black Black Black Red\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Green\n\n\nExample 3\nInput:\nPurple Red Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nOrange Black Green Black Black Black Black Black Black\nBlack Yellow Orange Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Red Purple\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Green Orange\nBlack Black Black Black Black Black Black Orange Yellow\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black\nPink Brown Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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 Gray\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Brown Pink\nBlack Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\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 Yellow Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Green Pink Purple Pink Pink Purple Pink Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Gray Pink Pink Pink Pink Gray Purple Black Black Black Black Black Black Black Black Black Black Black\nGreen Red Purple Pink Orange Orange Pink Purple Red Green Black Black 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\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\n\n\nExample 2\nInput:\nGreen Pink Pink Pink Pink Green Black Black Black Black Black Black\nOrange Orange Blue Blue Orange Orange Black Black Black Black Black Black\nOrange Orange Brown Brown Orange Orange Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nPink Pink Yellow Brown Yellow Pink Pink Black Black Black Black Black Black Black\nPink Green Green Gray Green Green Pink Black Black Black Black Black Black Black\nBlack Black Red Purple Red 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\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\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:\nBlue Blue Yellow Pink Blue Blue Blue Pink Yellow Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nGreen Yellow Pink Pink Green Blue Green Pink Pink Yellow Green Black Black Black Black Black Black Black Black Black Black Black\nRed Red Brown Brown Red Black Red Brown Brown Red Red Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Yellow Black Black Black Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Yellow Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Yellow Black Yellow Black Black Black Yellow Black Black Yellow Black Black\nBlack Black Yellow Yellow Black Yellow Black Black Black Yellow Black Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Black Black Black Yellow Black Black Yellow Black Black\nBlack Black Yellow Yellow Black Yellow Black Black Black Yellow Black Black Yellow Black Black\nBlack Black Yellow Yellow Black Yellow Black Black Black Yellow Black Black Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Yellow Black Black Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Yellow Black Black Yellow Black Black\nBlack Black Yellow Yellow Black Yellow Black Black Black Yellow Black Black Yellow Black Black\nBlack Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Yellow Black Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Yellow Black Black Yellow Yellow Yellow Black Yellow Black Black\nBlack Black Yellow Yellow Black Yellow Black Black Black Yellow Black Black Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black Black\n\nOutput:\nBlack Black Black Black Green Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Green Black Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Green Green Green Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Green Green Green Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Green Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Green Black Black Black Black Black Green Green Green Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Green Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Green Black Black Black Black Black Black Green Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Green Black Black\nBlack Black Black Green Green Green Green Green Black Black Black Green Green Green Black\nBlack Black Black Black Green Green Green Black Black Black Green Green Green Green Green\nBlack Black Black Black Black Green Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Green Black Black Green Green Black Black Green Black Black\nBlack Black Black Black Black Green Black Black Green Green Green Black Green Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Green Black Black Green Green Green Black Green Black Black\nBlack Black Black Black Black Green Black Black Green Green Black Black Green Black Black\nBlack Black Black Black Green Green Green Black Green Green Black Black Green Black Black\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\nBlack Black Black Black Black Green Black Black Green Green Black Green Green Green Black\nBlack Black Black Black Black Green Black Black Green Green Black Black Green Black Black\nBlack Black Black Black Black Green Black Black Green Green Black Black Green Black Black\nBlack Black Black Black Black Green Black Green Green Green Black Black Green Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Green Black Green Green Green Black Black Green Black Black\nBlack Black Black Black Black Green Black Black Green Green Black Black Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Black Black Gray Gray Gray Gray Gray Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Gray Black Black Gray Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Gray Black Black\nBlack Black Gray Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Black Black Gray Gray Gray Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Black Black Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Gray 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based 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 Gray Gray Black Black Gray Black Black\nBlack Black Gray Gray Black Black Black Black Gray Gray Gray Black Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Black Black Black Gray Gray Black Black Gray Black Black\nBlack Black Gray Gray Black Black Black Black Gray Gray Black Gray Gray Gray Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Black Black Black Black Gray Gray Black Gray Gray Gray Black\nBlack Black Gray Gray Black Black Black Black Gray Gray Black Black Gray Black Black\nBlack Black Gray Gray Black Black Black Gray Gray Gray Black Black Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Black Black Black Black Gray Gray Black Black Gray Black Black\nBlack Black Gray Gray Black Black Black Black Gray Gray Black Black Gray Black Black\nBlack Black Gray Gray Black Black Black Black Gray Gray Black Black Gray Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Yellow Black Black Red Red Black Black\nYellow Yellow Yellow Black Red Green Red Black\nBlack Yellow Blue Black Black Red Red Black\nBlack Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black\nBlack Green Yellow Green Black Black Black Green\nBlack Black Black Black Black Black Black Green\nRed Red Black Red Green Black Black Black\n\nOutput:\nYellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Yellow Black Yellow Yellow Yellow Black\nBlack Yellow Yellow Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Yellow\nBlack Black Black Black Black Black Black Yellow\nYellow Yellow Black Yellow Yellow Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Red Red Red\nBlue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Green Black Blue Red Blue\nGreen Black Green Black Blue Red Blue\nGreen Black Black Black Black Black Black\nBlack Black Black Green Black Blue Blue\n\nOutput:\nBlack Black Black Black Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Yellow Black Yellow Yellow Yellow\nYellow Black Yellow Black Yellow Yellow Yellow\nYellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Yellow\n\n\nExample 3\nInput:\nYellow Green Black Blue Black Green Black Black Red\nGreen Green Black Yellow Black Black Black Black Yellow\nYellow Green Black Blue Black Yellow Yellow Black Yellow\nBlack Black Black Black Black Yellow Yellow Black Black\nBlack Blue Green Black Black Yellow Yellow Black Blue\nBlack Blue Green Black Black Black Black Black Blue\nBlack Black Black Black Blue Blue Blue Black Black\n\nOutput:\nYellow Yellow Black Yellow Black Yellow Black Black Yellow\nYellow Yellow Black Yellow Black Black Black Black Yellow\nYellow Yellow Black Yellow Black Yellow Yellow Black Yellow\nBlack Black Black Black Black Yellow Yellow Black Black\nBlack Yellow Yellow Black Black Yellow Yellow Black Yellow\nBlack Yellow Yellow Black Black Black Black Black Yellow\nBlack Black Black Black Yellow Yellow Yellow Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Black Black Black Black Black Black Black\nRed Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Green Green\nBlue Black Black Black Black Black Black Black Black\nBlue Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Green Black Black\nGreen Black Black Black Black Black Green Black Black\nBlack Black Black Green Black Black Black Black Black\nBlack Black Black Green Black Black 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```\nYellow Black Black Black Black Black Black Black Black\nYellow Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow\nYellow Black Black Black Black Black Black Black Black\nYellow Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black\nYellow Black Black Black Black Black Yellow Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Yellow Yellow\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Purple Black Black Black\nBlack Black Purple Black Black Black Green Green Green Green Black Purple Black\nBlack Black Black Pink Black Black Green Green Green Green Black Black Brown\nBlack Black Black Black Black Orange Green Purple Pink Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Purple Black Orange Black Black Yellow Green Green Green Black Black\nBlack Black Black Black Blue Black Black Green Pink Green Green Black Black\nBlack Black Pink Black Black Black Black Green Green Green Green Black Black\nOrange Black Yellow Black Black Black Orange Green Green Green Green Black Black\nBlack Black Black Black Black Black Black Gray Black Black Pink Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Purple Black Black Black\nBlack Black Purple Black Black Black Orange Orange Orange Orange Black Purple Black\nBlack Black Black Pink Black Black Orange Orange Orange Orange Black Black Brown\nBlack Black Black Black Black Orange Orange Purple Pink Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Purple Black Orange Black Black Yellow Orange Orange Orange Black Black\nBlack Black Black Black Blue Black Black Orange Pink Orange Orange Black Black\nBlack Black Pink Black Black Black Black Orange Orange Orange Orange Black Black\nOrange Black Yellow Black Black Black Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Gray Black Black Pink Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Green Green Green Black Black Black\nBlack Pink Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Black Yellow Black\nBlack Black Black Pink Black Black Green Green Green Blue Black Blue\nBlack Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Blue Purple Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Gray Black\nPurple Black Black Black Black Black Black Brown Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Pink Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Yellow Black\nBlack Black Black Pink Black Black Orange Orange Orange Blue Black Blue\nBlack Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Blue Purple Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Gray Black\nPurple Black Black Black Black Black Black Brown Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Gray Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black\nBlack Gray Black Green Green Green Black Black Black Black Black Black Black Gray\nBlack Black Black Green Green Green Black Pink Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Orange Black Black Black Black Black Purple\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Blue Black Black Black Black\nBlack Black Pink Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Gray Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Gray Black Orange Orange Orange Black Black Black Black Black Black Black Gray\nBlack Black Black Orange Orange Orange Black Pink Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Orange Black Black Black Black Black Purple\nBlack Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Blue Black Black Black Black\nBlack Black Pink Black Black Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Orange Brown Black Black Black Red Green Black Black Black\nBlack Black Black Brown Green Red Black Black Black Green Green Black Black Black\nBlack Black Black Green Green Black Blue Black Yellow Green Green Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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 Orange Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Brown Black Black Black Red Orange Black Black Black\nBlack Black Black Brown Orange Red Black Black Black Orange Orange Black Black Black\nBlack Black Black Orange Orange Black Blue Black Yellow Orange Orange Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange 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 Gray Black Black Black Black\nBlack Black Yellow Black Black Black\nBlack Black Gray Black Orange Orange\nBlack Black Black Brown Green Black\nBrown Orange Black Black Black Blue\nBlack Black Orange Black Pink Black\nPink Black Orange Black Black Black\nPurple Black Black Yellow Black Black\n\nOutput:\nBlack Black Orange Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black\nGray Yellow Orange Brown Black Black Pink Black\nGray Yellow Orange Brown Green Blue Pink Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Green\nBlue Black Black Black Yellow Black Black Red\nBlack Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black\n\nOutput:\nBlack Blue Black Black Black\nGreen Blue Yellow Red Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black Purple Brown Black Black\nBlack Black Black Yellow Black Black Purple Black Yellow\nBlue Black Orange Purple Black Black Brown Black Black\nPink Black Black Blue Yellow Black Red Black Black\nGreen Black Orange Orange Black Green Black Blue Blue\n\nOutput:\nBlack Black Black Blue Black Black Black Black\nPurple Black Yellow Blue Orange Black Black Black\nPurple Brown Yellow Blue Orange Black Black Green\nPurple Brown Yellow Blue Orange Pink Red Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Brown Black Gray 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 Pink Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Black Black\nBrown Gray Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Red Red Purple Brown Purple Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Red Purple Orange Purple Red Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Gray Purple Orange Purple Gray Blue Black Black Black Black Black\nBlack Black Black Blue Yellow Black Black Black Black Black Pink Gray Gray Yellow Gray Gray Pink Black Black Black Black Black\nBlack Black Yellow Blue Blue Blue Black Black Black Black Pink Green Orange Purple Orange Green Pink Black Black Black Black Black\nBlack Black Blue Blue Blue Yellow Black Red Black Black Pink Purple Purple Purple Purple Purple Pink Black Black Black Black Black\nBlack Black Black Yellow Blue Black Black Blue Black Black Green Green Green Purple Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Blue 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\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Purple Brown Purple Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Red Purple Orange Purple Red Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Gray Purple Orange Purple Gray Blue Black Black Black Black Black\nBlack Black Black Blue Yellow Black Black Black Black Black Pink Gray Gray Yellow Gray Gray Pink Black Black Black Black Black\nBlack Black Yellow Blue Blue Blue Black Black Black Black Pink Green Orange Purple Orange Green Pink Black Black Black Black Black\nBlack Black Blue Blue Blue Yellow Black Red Black Black Pink Purple Purple Purple Purple Purple Pink Black Black Black Black Black\nBlack Black Black Yellow Blue Black Black Blue Black Black Green Green Green Purple Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Blue 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\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Green Blue Purple Orange Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Pink Green Purple Purple Red Orange Pink Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Orange Pink Blue Blue Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Red Pink Pink Blue Pink Blue Purple Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Blue Blue Red Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Purple Blue Pink Blue Pink Pink Red Orange Black Black Pink Brown Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Pink Pink Blue Blue Pink Orange Red Black Black Pink Brown Black Black Black Black Black Black Black\nBlack Black Black Black Red Pink Orange Red Purple Purple Green Pink Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Orange Purple Blue Green Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Green Blue Purple Orange Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Pink Green Purple Purple Red Orange Pink Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Orange Pink Blue Blue Pink Pink Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Red Pink Pink Blue Pink Blue Purple Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Blue Blue Red Blue Blue Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Purple Blue Pink Blue Pink Pink Red Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Pink Pink Blue Blue Pink Orange Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Pink Orange Red Purple Purple Green Pink Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Orange Purple Blue Green Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Blue Blue Brown Brown Orange Blue Blue Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Red Red Brown Brown Orange Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Red Orange Orange Brown Brown Brown Green Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Orange Orange Blue Brown Brown Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Blue Blue Orange Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Orange Orange Orange Orange Brown Brown Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Red Orange Blue Red Blue Orange Orange Red Blue Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Red Red Orange Red Blue Brown Red Red Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Brown Brown Brown Gray Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Brown Blue Blue Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Blue Blue 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 Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Blue Blue Brown Brown Orange Blue Blue Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Red Red Brown Brown Orange Green Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Red Orange Orange Brown Brown Brown Green Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Orange Orange Blue Brown Brown Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Blue Blue Orange Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Orange Orange Orange Orange Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Orange Blue Red Blue Orange Orange Red Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Orange Red Blue Brown Red Red Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Brown Brown Brown Gray Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Brown Blue Blue Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Blue Blue 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 Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Brown Blue Brown Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Gray Yellow Blue Brown Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Orange Orange Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Pink Pink Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Pink Black\nBlack Black Black Black Black Gray Gray Purple Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Blue Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Brown Blue Brown Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Gray Yellow Blue Brown Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Red Orange Orange Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Pink Pink Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Pink Black\nBlack Black Black Black Black Gray Gray Purple Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Blue Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\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 Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black Black Black\nBlack Black Black 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 Green Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Blue Blue Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Red Red Blue Blue 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black 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 Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Orange Black Black Black Black Black Brown Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Black\nBlack Black Black Orange Black Black Black Black Black Brown Black Black\nBlack Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Blue Black\nBlack Orange Black Black Black Black Black Black Black Brown\nBlack Orange Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Blue Black\nBlack Blue Black Black Black Black Black Black Black Brown\nBlack Blue Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Blue Black Gray Black\nGray Black Black Black Black Black Black Black Black Black Yellow\n\nOutput:\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Blue Black Gray Black\nGray Black Black Black Black Black Black Black Black Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Pink Black Black Black\nBlack Pink Black Black Black Pink Black Black Black\nPink Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black\nBlack Pink Black Purple Black Black Brown Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Pink Black Black Black\nBlack Pink Black Black Black Pink Black Black Black\nPurple Black Black Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black Black Black\nBlack Pink Black Purple Black Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 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 Pink Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Pink 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 Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Gray Gray Gray Gray Gray\nBlack Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Gray Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black\nBlack Black Black Black Black Pink Pink Pink\nBlack Black Purple Black Black Black Pink Black\nBlack Brown Purple Purple Black Black Black Black\nBrown Brown Brown Black Black Black Pink Black\nBlack Brown Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Pink Black\n\n\nExample 2\nInput:\nBlack Black Gray Black Black Black Black\nOrange Black Black Black Black Black Black\nBlack Black Black Black Black Red Black\nBlack Black Blue Black Black Black Black\nBlue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nOrange Gray Gray Gray Black Black Black\nOrange Orange Gray Black Black Red Black\nOrange Black Blue Black Red Red Red\nBlue Blue Blue Blue Black Red Black\nBlue Blue Blue Black Black Black Black\nBlue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Green Black Black\nBlack Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Purple Black Black\nBlack Black Black Black Black Purple Purple Purple Black\nBlack Black Black Black Black Black Purple Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Brown Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Black Gray Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Pink Black Black Black Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Brown Yellow Yellow Yellow Black\nBlack Black Black Black Black Brown Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Pink Pink Pink Gray Orange Black Black Black\nBlack Black Pink Gray Orange Orange Orange Black Black\nBlack Black Black Black Gray Orange Black Black Pink\nBlack Black Black Black Pink Black Black Pink Pink\nBlack Black Black Pink Pink Pink Black 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 Green Green Green\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black\nYellow Black Black Black Black Black Orange Orange Pink\nYellow Black Black Black Black Black Brown Brown Black\n\nOutput:\nBlack Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nOrange Black Black Black Orange Orange Orange Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Red Black Black Black Black\nBlack Black Red Black Black Black Black\nBlack Black Red Black Black Black Black\nBlack Black Black Black Blue Blue Black\nBlack Black Black Orange Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Black\nOrange Black Black Black Black Black Orange\nBlack Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black\nBlack Black Black Black Black Blue Black Black\nRed Red Red Black Black Blue 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 Gray Gray\n\nOutput:\nBlack Black Black Orange Orange Black Black Black\nBlack Black Black Orange Orange Black Black Black\nBlack Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Orange\nBlack Black Black Black Black Orange\nBlack Black Black Black Black Brown\nBlack Black Black Black Black Black\nBlack Black Black Black Black Green\nGray Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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 Orange\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nOrange Orange Orange Black Orange Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Orange Gray Purple Gray Black Black\nBlack Orange Purple Pink Purple Red Red Yellow\nOrange Purple Blue Orange Orange Green Orange Yellow\nGray Pink Orange Yellow Gray Green Green Orange\nPurple Purple Orange Gray Gray Gray Green Blue\nGray Red Green Green Gray Green Green Blue\nBlack Red Orange Green Green Green Blue Green\nBlack Yellow Yellow Orange Blue Blue Green Blue\n\nOutput:\nBlack Black Gray Purple Purple Gray Black Black\nYellow Red Red Purple Purple Red Red Yellow\nYellow Orange Green Orange Orange Green Orange Yellow\nOrange Green Green Gray Gray Green Green Orange\nBlue Green Gray Gray Gray Gray Green Blue\nBlue Green Green Gray Gray Green Green Blue\nGreen Blue Green Green Green Green Blue Green\nBlue Green Blue Blue Blue Blue Green Blue\n\n\nExample 2\nInput:\nOrange Orange Purple Brown Orange Black Black Black Black\nOrange Orange Brown Brown Purple Black Black Purple Purple\nBlue Pink Pink Brown Purple Black Black Black Purple\nBlue Brown Red Red Red Pink Purple Purple Purple\nGray Gray Red Blue Gray Pink Purple Black Black\nGray Gray Gray Gray Pink Pink Black Black Black\nPurple Gray Yellow Gray Black Black Black Black Black\n\nOutput:\nOrange Orange Purple Brown Orange Black Black Black Black\nPurple Purple Brown Brown Purple Black Black Purple Purple\nPurple Pink Pink Brown Purple Black Black Black Purple\nPurple Purple Purple Pink Red Pink Purple Purple Purple\nGray Gray Purple Pink Gray Pink Purple Black Black\nGray Gray Gray Pink Pink Pink Black Black Black\nPurple Gray Yellow Gray Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Blue Purple Blue Pink Black Black\nBlack Black Gray Purple Purple Black Pink Black Black\nPink Pink Black Blue Blue Green Black Gray Black\nBlue Black Green Blue Yellow Blue Blue Purple Blue\nPurple Purple Blue Yellow Red Yellow Blue Purple Purple\nBlue Purple Blue Blue Yellow Blue Green Black Blue\nBlack Gray Black Green Blue Blue Black Pink Pink\nBlack Black Pink Black Purple Purple Gray Black Black\nBlack Black Pink Blue Purple Blue Black Black Black\n\nOutput:\nBlack Black Pink Blue Purple Blue Pink Black Black\nBlack Black Pink Purple Purple Black Pink Black Black\nPink Gray Black Green Blue Green Black Gray Black\nBlue Purple Blue Blue Yellow Blue Blue Purple Blue\nPurple Purple Blue Yellow Red Yellow Blue Purple Purple\nBlue Purple Green Blue Yellow Blue Green Black Blue\nPink Pink Black Blue Blue Blue Black Pink Pink\nBlack Black Gray Purple Purple Purple Gray Black Black\nBlack Black Pink Blue Purple Blue Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nPink Brown Yellow Red Green Orange Yellow Yellow Black\nGray Gray Gray Red Orange Brown Yellow Brown Black\nRed Pink Brown Red Red Red Yellow Black Black\nOrange Orange Orange Blue Green Yellow Red Orange Orange\nGreen Pink Green Green Yellow Red Gray Gray Black\nBrown Pink Green Red Black Gray Gray Gray Brown\nBlack Green Black Black Black Gray Red Yellow Brown\nBlack Black Black Black Black Brown Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Yellow Yellow Orange Green Orange Yellow Yellow Black\nGray Brown Yellow Brown Orange Brown Yellow Brown Black\nRed Pink Yellow Red Red Red Yellow Black Black\nOrange Orange Red Yellow Green Yellow Red Orange Orange\nGreen Gray Gray Red Yellow Red Gray Gray Black\nBrown Gray Gray Gray Black Gray Gray Gray Brown\nBrown Yellow Red Gray Black Gray Red Yellow Brown\nRed Red Red Brown Black Brown Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nPink Black Yellow Purple Brown\nBlack Black Black Black Gray\n\nOutput:\nGray Black Black Black Black Black Gray Black Black Black\nBrown Purple Yellow Black Pink Purple Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Purple Yellow Black Pink Purple Brown Black Black Black\nGray Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Green\nRed Black Blue Black\nGray Black Black Black\nBlack Black Black Black\nBlue Yellow Black Pink\n\nOutput:\nPink Black Yellow Blue Black Pink Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black\nBlack Blue Black Red Blue Black Black Black\nGreen Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black\nPink Black Yellow Blue Black Pink 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\nBlack Yellow Black Black Black\nBlack Black Red Black Green\nYellow Black Black Black Black\nBrown Black Black Black Black\n\nOutput:\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nGreen Black Red Black Black Black Green Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black\nBlack Black Pink\nBlack Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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\nPink Black Black Pink Black Black\nBlack Black Gray Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\n\nOutput:\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red\n\n\nExample 2\nInput:\nBlue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red\n\nOutput:\nRed Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue\nBlue Red Blue Red Blue Red Blue Red Blue Red\nRed Blue Red Blue Red Blue Red Blue Red Blue\n\n\nExample 3\nInput:\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\n\nOutput:\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red Blue Red\n\n\nHere is the input grid for the test example:\nInput:\nBlue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue\nRed Blue Red Blue Red Blue Red Blue Red\nBlue Red Blue Red Blue Red Blue Red Blue\nRed Blue 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:\nBlack Black Black Black Black 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\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow 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 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 Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow 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 Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Yellow Black Black Black Yellow Yellow Black Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Black Black Black Yellow Yellow Black Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Yellow Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow 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 Black\nBlack 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\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Yellow Yellow Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow 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\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Blue Blue Blue Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Yellow Yellow 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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 Yellow Yellow Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Yellow Yellow 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\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Black Black Black Black Gray Gray Gray Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Yellow Yellow 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue 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 Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Purple Yellow Yellow Purple Black\nBlack Black Black Black Black Black Purple Yellow Yellow Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Purple Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Purple Purple Purple Purple Yellow Black Black\nBlack Yellow Purple Yellow Yellow Purple Yellow Black Black\nBlack Yellow Purple Yellow Yellow Purple Yellow Yellow Black\nBlack Yellow Purple Purple Purple Purple Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Purple Purple Purple Purple Yellow Black Black\nBlack Yellow Purple Yellow Yellow Purple Yellow Black Black\nBlack Yellow Purple Yellow Yellow Purple Yellow Yellow Black\nBlack Yellow Purple Purple Purple Purple Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Brown Yellow Gray Brown Yellow Gray\nBrown Yellow Gray Brown Yellow Gray Brown\nYellow Gray Brown Yellow Gray Brown Yellow\nGray Brown Yellow Gray Brown Yellow Gray\nBrown Yellow Gray Brown Yellow Gray Brown\nYellow Gray Brown Yellow Gray Brown Yellow\nGray Brown Yellow Gray Brown Yellow Gray\n\nOutput:\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray\nBrown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown\nYellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray\nBrown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown\nBrown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown\nYellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow\nYellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray\nGray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray Brown Brown Brown Yellow Yellow Yellow Gray Gray Gray\n\n\nExample 2\nInput:\nPurple Gray Brown Pink Orange Purple\nGray Brown Pink Orange Purple Gray\nBrown Pink Orange Purple Gray Brown\nPink Orange Purple Gray Brown Pink\nOrange Purple Gray Brown Pink Orange\nPurple Gray Brown Pink Orange Purple\n\nOutput:\nPurple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple\nGray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown\nPink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Pink Pink Pink Pink Pink Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nOrange Blue Orange Blue Orange Blue Orange Blue\nBlue Orange Blue Orange Blue Orange Blue Orange\nOrange Blue Orange Blue Orange Blue Orange Blue\nBlue Orange Blue Orange Blue Orange Blue Orange\nOrange Blue Orange Blue Orange Blue Orange Blue\nBlue Orange Blue Orange Blue Orange Blue Orange\n\nOutput:\nOrange Orange Blue Blue Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange Blue Blue\nOrange Orange Blue Blue Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange Blue Blue\nBlue Blue Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange\nBlue Blue Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange\nOrange Orange Blue Blue Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange Blue Blue\nOrange Orange Blue Blue Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange Blue Blue\nBlue Blue Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange\nBlue Blue Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange\nOrange Orange Blue Blue Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange Blue Blue\nOrange Orange Blue Blue Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange Blue Blue\nBlue Blue Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange\nBlue Blue Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange Blue Blue Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nYellow Brown Blue Yellow Brown Blue Yellow Brown\nBrown Blue Yellow Brown Blue Yellow Brown Blue\nBlue Yellow Brown Blue Yellow Brown Blue Yellow\nYellow Brown Blue Yellow Brown Blue Yellow Brown\nBrown Blue Yellow Brown Blue Yellow Brown Blue\nBlue Yellow Brown Blue Yellow Brown Blue Yellow\nYellow Brown Blue Yellow Brown Blue Yellow Brown\nBrown Blue Yellow Brown Blue Yellow Brown 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 Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue\nBrown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown Blue Blue Blue Yellow Yellow Yellow Brown Brown Brown 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:\nGreen Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nGreen Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Gray Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Gray Gray Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Gray Gray Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Gray Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Gray Gray Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Blue Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Gray Gray Gray Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Blue Gray Gray Gray Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Blue Gray Gray Gray Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Blue Gray Gray Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Blue Gray Gray Gray Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Blue Gray Gray Gray Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Blue Gray Gray Gray Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Blue Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Blue Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Blue Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Gray Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Blue Gray Gray Black Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Blue Gray Gray Black Black Black Black Black Gray Gray Gray Black Gray Black Black Black Black Black Black Black Black\nBlack Black Blue Gray Black Black Gray Gray Black Black Gray Gray Gray Black Gray Black Black Black Black Black Black Black Black\nBlack Black Blue Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Gray Black Black Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Blue Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Blue Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Gray Black Black Gray Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Gray Gray Gray Gray Black Black Gray Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Gray Gray Black Black Black Gray Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Blue Blue Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue 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 Blue Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Blue Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Blue\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Green Black\nBlack Black Black Orange Orange 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 Green\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black\nBlack Black Black Red Red Black Yellow Black\nBlack Black Black Red Red 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 Blue Yellow Black Black Black\nBlack Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue\nBlack Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black\nBlack Red Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Green Orange Black Black Black\nBlack Green Black Black Black Black Black\nBlack Black Black Black Black Black Green\nBlack Black Black Black Black Black Green\nBlack Black Black Black Black Black Black\nBlack Blue 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 Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Blue Blue Black Black Black\nGreen Green Black Black Blue Blue Black Black Black\nGreen Green 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 Orange Orange Black Black Black Black Black\nBlack Black Orange Orange Green Green Black Black Black\nYellow Yellow Black Black Green Green Black Black Black\nYellow Yellow 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 Orange Orange Black Black Black\nOrange Orange Black Black Orange Orange Black Orange Orange\nOrange Orange Red Black Black Black Black Orange Orange\nBlack Yellow Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Red Red Black Black Black\nRed Red Black Black Red Red Black Red Red\nRed Red Blue Black Black Black Black Red Red\nBlack Orange Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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\nBlue Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Brown Red Black Brown Black Black\nBlack Yellow Black Black Black Black Black Black Green Black Black Black\nBlack Black Yellow Black Black Gray Black Blue Black Blue Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Gray Blue Black Brown Red Green Red Black Black Black\nGreen Black Black Black Black Green Black Black Black Black Red Black\nBlack Black Yellow Black Black Black Yellow Green Black Brown Blue Black\nBlack Black Gray Black Black Black Black Black Black Black Yellow Red\n\nOutput:\nYellow\nRed\nGreen\nBrown\nBlue\nGray\n\n\nExample 2\nInput:\nBlack Black Black Black Purple Black Black Purple Black Orange\nPink Black Black Red Black Black Red Black Black Black\nGray Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Gray Black Purple Purple\nBlack Orange Black Black Black Black Black Orange Black Red\nBlack Black Black Black Red Black Black Gray Purple Black\nGray Black Black Purple Black Red Black Black Black Black\n\nOutput:\nPurple\nRed\nGray\nOrange\nPink\n\n\nExample 3\nInput:\nBlack Black Black Red Black Black Black Black Black Red Blue\nBlack Black Black Black Gray Black Green Black Black Gray Black\nGreen Black Black Green Black Red Blue Black Green Black Black\nGreen Black Black Black Black Black Black Blue Black Green Black\nRed Black Green Black Black Black Pink Black Black Green Black\nBlue Black Black Gray Gray Black Gray Gray Black Black Black\nPink Black Black Black Black Gray Purple Black Black Red Black\n\nOutput:\nGreen\nGray\nRed\nBlue\nPink\nPurple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Brown Purple Brown Black Black Black\nBlue Black Black Black Black Pink Black Black Purple\nBrown Black Yellow Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Brown Black\nBlue Black Black Pink Black Red Black Black Black\nBlack Yellow Black Black Orange Orange Purple Black Black\nPurple Black Black Blue Yellow Black Black Blue Black\nBlack Blue Black Purple Black Black Brown Black Black\nBlack Black Black Black Black Black Brown Brown 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```\nBrown\nPurple\nBlue\nPink\nYellow\nOrange\nRed\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Orange Orange Orange Black\nBlack Black Black Black Black Black Orange Orange Orange 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 Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Green\nGreen Black Red Black Black\nBlack Black Black Blue Black\nGreen Green Green Black Black\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Gray\nGray Black Purple Black Black\nBlack Black Black Orange Black\nGray Gray Gray Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Red Black\nRed Black Black Black Black Black\nBlack Black Black Black Red Red\nBlack Black Blue Red Black Black\nBlack Red Black Black Black Black\nGreen Black Red Black Black Black\n\nOutput:\nBlack Black Black Black Purple Black\nPurple Black Black Black Black Black\nBlack Black Black Black Purple Purple\nBlack Black Orange Purple Black Black\nBlack Purple Black Black Black Black\nGray Black Purple Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Red\nBlue Black Black Black Green Black\nBlack Black Black Red Black Black\nBlack Black Green Black Black Black\nGreen Black Red Black Black Blue\nBlack Blue Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Purple\nOrange Black Black Black Gray Black\nBlack Black Black Purple Black Black\nBlack Black Gray Black Black Black\nGray Black Purple Black Black Orange\nBlack Orange Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Red Black Green\nBlack Black Black Black\nBlack Red Black Black\nBlack Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Purple Black Gray\nBlack Black Black Black\nBlack Purple Black Black\nBlack Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Brown Yellow Yellow Yellow Brown Brown Yellow Yellow Yellow Gray Yellow Brown\nBrown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Brown Yellow Yellow Yellow\nBrown Brown Gray Brown Yellow Black Yellow Yellow Brown Gray Yellow Gray Gray\nBrown Gray Black Gray Gray Yellow Yellow Black Brown Black Brown Yellow Gray\nYellow Brown Black Yellow Brown Gray Black Brown Gray Black Gray Yellow Brown\nGray Gray Brown Yellow Gray Yellow Brown Gray Yellow Brown Gray Black Gray\nGray Gray Gray Yellow Gray Brown Yellow Brown Gray Gray Brown Black Gray\nGray Gray Gray Yellow Brown Brown Gray Gray Gray Yellow Gray Gray Yellow\nYellow Gray Yellow Brown Gray Yellow Black Yellow Brown Black Gray Brown Gray\nGray Yellow Gray Brown Gray Brown Gray Black Yellow Brown Brown Yellow Brown\nBrown Gray Brown Brown Yellow Brown Gray Gray Yellow Gray Gray Gray Brown\nBrown Brown Brown Brown Yellow Black Yellow Brown Black Yellow Yellow Gray Yellow\nYellow Yellow Yellow Gray Black Black Brown Brown Yellow Brown Yellow Gray Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Yellow Black Gray Black Black Black\nBlack Black Gray Black Black Black Yellow Black Black Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Yellow Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nOrange Blue Orange Orange Orange Black Blue Blue Black Blue Black Black Orange Orange\nOrange Black Blue Blue Blue Blue Blue Black Orange Black Blue Blue Black Black\nOrange Blue Blue Black Orange Black Black Blue Blue Black Black Black Orange Blue\nBlue Blue Orange Blue Black Orange Blue Black Orange Black Black Black Blue Black\nBlue Orange Black Blue Blue Orange Blue Black Black Orange Blue Black Black Orange\nBlack Blue Orange Orange Black Black Orange Orange Orange Blue Orange Blue Black Black\nBlue Black Orange Orange Blue Black Blue Orange Black Blue Orange Orange Black Black\nOrange Blue Blue Orange Black Black Black Orange Black Orange Blue Black Orange Orange\nBlack Black Orange Black Blue Orange Black Black Blue Blue Blue Orange Blue Black\nOrange Black Black Orange Black Blue Orange Blue Orange Orange Black Black Black Blue\nOrange Orange Orange Blue Orange Black Black Orange Blue Black Black Black Blue Black\nOrange Black Black Blue Black Orange Black Blue Black Orange Black Black Blue Blue\n\nOutput:\nBlack Black Black Black Black Orange Black Black Blue Black Blue Blue Black Black\nBlack Blue Black Black Black Black Black Blue Black Blue Black Black Orange Orange\nBlack Black Black Blue Black Blue Blue Black Black Blue Blue Blue Black Black\nBlack Black Black Black Orange Black Black Blue Black Blue Blue Blue Black Blue\nBlack Black Orange Black Black Black Black Blue Blue Black Black Blue Blue Black\nBlue Black Black Black Blue Blue Black Black Black Black Black Black Blue Blue\nBlack Blue Black Black Black Blue Black Black Orange Black Black Black Blue Blue\nBlack Black Black Black Blue Blue Blue Black Orange Black Black Orange Black Black\nOrange Orange Black Orange Black Black Blue Blue Black Black Black Black Black Orange\nBlack Orange Orange Black Blue Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Black Black Blue Blue Blue Black Blue\nBlack Orange Orange Black Orange Black Blue Black Blue Black Blue Blue Black Black\n\n\nExample 3\nInput:\nBlack Yellow Yellow Brown Yellow Yellow Brown Blue Blue Blue Brown Blue Yellow Black\nBlue Blue Blue Brown Brown Yellow Blue Yellow Brown Yellow Black Blue Blue Blue\nBlue Brown Brown Brown Black Brown Black Brown Brown Blue Brown Blue Black Brown\nYellow Blue Brown Blue Yellow Blue Yellow Blue Brown Yellow Blue Black Blue Brown\nBlue Yellow Black Blue Blue Brown Yellow Black Black Brown Blue Yellow Blue Yellow\nBlue Yellow Blue Blue Yellow Yellow Brown Yellow Yellow Yellow Black Brown Blue Blue\nYellow Yellow Yellow Yellow Brown Blue Yellow Yellow Brown Brown Brown Brown Brown Brown\nYellow Blue Yellow Yellow Black Black Brown Yellow Blue Brown Brown Yellow Black Blue\nYellow Blue Blue Blue Yellow Black Yellow Blue Blue Brown Yellow Brown Brown Yellow\nBlue Yellow Brown Blue Blue Brown Brown Black Yellow Yellow Brown Yellow Brown Brown\nBrown Blue Yellow Brown Brown Yellow Yellow Brown Blue Yellow Blue Brown Yellow Blue\nBrown Brown Blue Black Yellow Brown Yellow Brown Yellow Blue Yellow Brown Yellow Blue\nBrown Brown Yellow Blue Brown Blue Blue Brown Blue Brown Brown Yellow Blue Yellow\nBlue Brown Blue Yellow Blue Brown Yellow Brown Yellow Black Blue Yellow Blue Black\n\nOutput:\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Brown Black Blue Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Black Brown Black Black Black Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Brown 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 Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBrown Orange Brown Orange Purple Orange Black Purple Brown Orange Black Purple\nBrown Brown Brown Purple Brown Brown Brown Brown Purple Orange Brown Purple\nOrange Black Brown Purple Purple Orange Brown Purple Orange Purple Orange Orange\nPurple Brown Black Black Brown Orange Orange Orange Orange Brown Orange Orange\nBlack Purple Black Brown Brown Purple Brown Black Brown Purple Orange Purple\nOrange Black Orange Purple Orange Purple Brown Brown Brown Purple Orange Orange\nBrown Orange Orange Brown Orange Brown Purple Brown Orange Orange Orange Purple\nBrown Brown Black Purple Orange Brown Purple Brown Black Black Purple Orange\nPurple Purple Purple Purple Orange Brown Brown Orange Brown Brown Purple Brown\nPurple Purple Orange Purple Brown Purple Purple Brown Purple Purple Orange Orange\nBlack Orange Brown Orange Purple Orange Purple Brown Orange Purple Purple Purple\nOrange Purple Orange Orange Orange Purple Orange Brown Brown Brown Purple Orange\nBrown Brown Purple Brown Brown Purple Black Orange Purple Purple Black 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```\nBlack Black Black Black Black Black Orange Black Black Black Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black Black Black Black\nPurple Black Brown Black Black Black Black Orange Black Black Black Black\nBlack Purple 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 Black Black Black Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Purple Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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 Orange Black Black Black Black Black Pink Black\nBlack Black Black Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red\nRed Red Red Red Red\nRed Red Red Red Red\nRed Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Black Black Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Black Black\nBlack Black Black Green Green Green Green Green Black Black\nBlack Black Black Green Green Green Green Green 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 Red Red Red Black\nRed Red Red Red Red\nRed Red Red Red Red\nRed Red Red Red Red\nBlack Red Red Red Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Black\nRed Red Red\nRed Red Red\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 Red Red Red Red Black\nBlack Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Red Red Red Black\nBlack Black Black Black Red Red Red 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Black Black Red\nRed Red Red Red\nRed Red Red Red\nRed Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Green Black Black Black Black Gray Green Black Black Black Black Black Black Black\nBlack Black Black Green Gray Black Black Gray Gray Green Black Black Black Black Black Black Black\nBlack Black Purple Black Green Gray Purple Gray Green Blue Purple Black Black Black Black Black Black\nBlack Purple Blue Black Orange Black Green Gray Orange Blue Blue Purple Black Black Black Black Black\nBlack Purple Black Purple Purple Orange Black Orange Purple Purple Black Purple Black Black Black Black Black\nBlack Black Orange Brown Red Black Red Orange Red Brown Orange Blue Black Black Black Black Black\nBlack Black Black Black Orange Black Black Orange Orange Blue Orange Pink Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black Green Purple Yellow Red Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Purple Orange Green Black Black Black Black Black\nBlack Black Black Red Pink Black Black Pink Pink Red Purple Purple Black Black Black Black Black\nBlack Black Purple Black Red Red Red Red Red Red Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Black Black Black Green Gray Green Black Black Black Green Black Black Black\nBlack Black Black Green Gray Black Black Gray Gray Green Black Black Gray Green Black Black Black\nBlack Black Purple Black Green Gray Purple Gray Green Blue Purple Gray Green Black Purple Black Black\nBlack Purple Blue Black Orange Purple Green Gray Orange Blue Blue Purple Orange Black Blue Purple Black\nBlack Purple Black Purple Purple Orange Black Orange Purple Purple Black Purple Purple Purple Black Purple Black\nBlack Black Orange Brown Red Blue Red Orange Red Brown Orange Blue Red Brown Orange Black Black\nBlack Black Black Black Orange Pink Orange Orange Orange Blue Orange Pink Orange Black Black Black Black\nBlack Black Black Purple Black Red Yellow Purple Green Purple Yellow Red Black Purple Black Black Black\nBlack Black Orange Black Black Green Orange Purple Black Purple Orange Green Black Black Orange Black Black\nBlack Black Black Red Pink Purple Purple Pink Pink Red Purple Purple Pink Red Black Black Black\nBlack Black Purple Black Red Red Red Red Red Red Purple Purple Red Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Green Brown Black Black Black Black\nBlack Black Black Black Black Orange Black Red Red Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Yellow Gray Yellow Yellow Pink Orange Orange Black Black\nBlack Black Black Black Orange Black Black Yellow Orange Purple Orange Black Orange Black Black\nBlack Black Black Green Black Yellow Black Red Yellow Yellow Orange Green Yellow Black Black\nBlack Black Black Brown Black Black Blue Red Blue Green Orange Brown Gray Black Black\nBlack Black Black Black Brown Orange Brown Brown Brown Orange Brown Orange Orange Black Black\nBlack Black Black Black Orange Green Orange Purple Orange Green Orange Black Black Black Black\nBlack Black Black Black Black Black Pink Purple Pink Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow 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 Brown Brown Brown Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Green Orange Orange Orange Green Brown Black Black Black Black\nBlack Black Black Black Orange Orange Red Red Red Orange Orange Black Black Black Black\nBlack Black Orange Orange Pink Yellow Yellow Gray Yellow Yellow Pink Orange Orange Black Black\nBlack Black Orange Black Orange Purple Orange Yellow Orange Purple Orange Black Orange Black Black\nBlack Black Yellow Green Orange Yellow Yellow Red Yellow Yellow Orange Green Yellow Black Black\nBlack Black Gray Brown Orange Green Blue Red Blue Green Orange Brown Gray Black Black\nBlack Black Orange Orange Brown Orange Brown Brown Brown Orange Brown Orange Orange Black Black\nBlack Black Black Black Orange Green Orange Purple Orange Green Orange Black Black Black Black\nBlack Black Black Black Black Blue Pink Purple Pink Blue Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow 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 Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Orange Green Black Yellow Black Yellow Yellow Green Orange\nBlack Black Black Black Black Black Black Red Red Yellow Black Black Black Yellow Red Red\nBlack Black Black Black Black Black Black Orange Pink Black Blue Black Blue Blue Pink Orange\nBlack Black Black Black Black Black Black Red Red Black Black Pink Black Gray Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Gray Purple Black\nBlack Black Black Black Black Black Black Black Blue Gray Orange Pink Orange Gray Blue Black\nBlack Black Black Black Black Black Black Black Red Orange Orange Orange Orange Orange Red Black\nBlack Black Black Black Black Black Black Black Red Brown Pink Gray Pink Brown Red 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 Yellow Black Yellow Black Black Black Black Yellow Black Yellow Black Black Black\nOrange Green Yellow Yellow Black Yellow Black Orange Green Black Yellow Black Yellow Yellow Green Orange\nRed Red Yellow Black Black Black Yellow Red Red Yellow Black Black Black Yellow Red Red\nOrange Pink Blue Blue Black Blue Black Orange Pink Black Blue Black Blue Blue Pink Orange\nRed Red Gray Black Pink Black Black Red Red Black Black Pink Black Gray Red Red\nBlack Purple Gray Black Pink Black Black Black Black Black Black Pink Black Gray Purple Black\nBlack Blue Gray Orange Pink Orange Gray Blue Blue Gray Orange Pink Orange Gray Blue Black\nBlack Red Orange Orange Orange Orange Orange Red Red Orange Orange Orange Orange Orange Red Black\nBlack Red Brown Pink Gray Pink Brown Red Red Brown Pink Gray Pink Brown Red Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Orange Orange Gray Gray Orange Orange Pink Black Black\nBlack Black Black Black Pink Black Black Yellow Yellow Yellow Orange Pink Brown Black\nBlack Black Black Pink Black Pink Black Yellow Yellow Yellow Pink Brown Pink Black\nBlack Black Black Red Green Black Black Pink Pink Pink Pink Green Red Black\nBlack Black Black Red Green Green Black Black Pink Green Green Green Red Black\nBlack Black Black Orange Orange Black Black Orange Orange Purple Red Orange Orange Black\nBlack Black Black Orange Black Black Black Orange Orange Brown Brown Orange Orange Black\nBlack Black Black Red Brown Black Orange Orange Orange Orange Orange Brown Red Black\nBlack Black Black Black Black Gray Pink Black Black Pink Gray Black Black Black\nBlack Black Black Black Black Gray Pink Black Black Pink Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Pink Orange Orange Orange Orange Gray Gray Orange Orange Pink Black Black\nBlack Brown Pink Orange Pink Yellow Yellow Yellow Yellow Yellow Orange Pink Brown Black\nBlack Pink Brown Pink Yellow Pink Yellow Yellow Yellow Yellow Pink Brown Pink Black\nBlack Red Green Red Green Pink Pink Pink Pink Pink Pink Green Red Black\nBlack Red Green Red Green Green Black Black Pink Green Green Green Red Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Purple Red Orange Orange Black\nBlack Orange Orange Orange Brown Orange Orange Orange Orange Brown Brown Orange Orange Black\nBlack Red Brown Red Brown Orange Orange Orange Orange Orange Orange Brown Red Black\nBlack Black Black Gray Pink Gray Pink Pink Gray Pink Gray Black Black Black\nBlack Black Black Gray Pink Gray Pink Pink Gray Pink Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nBrown Yellow Blue Black Black Black Black Black Black Black\nPurple Gray Pink Black Black Black Black Black Black Black\nRed Green Orange Black Black Black Black Black Black Black\nGray Gray Red Gray Pink Black Black Black Black Black\nPink Gray Red Pink Gray Black Black Black Black Black\nRed Red Red Red Pink Black Black Black Black Black\nPink Red Gray Gray Pink Black Black Black Black Black\nBlack Black Black Black Black Black 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 Pink Gray Red Gray Gray\nBlack Black Black Black Black Gray Pink Red Gray Pink\nBlack Black Black Black Black Pink Red Red Red Red\nBlack Black Black Black Black Pink Gray Gray Red 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\n\n\nExample 2\nInput:\nGreen Orange Purple Black Black Black Black Black Black Black\nPink Gray Red Black Black Black Black Black Black Black\nBlue Brown Yellow Black Black Black Black Black Black Black\nGray Brown Gray Gray Black Black Black Black Black Black\nGray Pink Gray Pink Black Black Black Black Black Black\nGray Pink Brown Gray Black Black Black Black Black Black\nGray Pink Pink Brown Black Black Black Black Black Black\nBrown Brown 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\n\nOutput:\nBlack Black Black Black Black Black Gray Gray Brown Gray\nBlack Black Black Black Black Black Pink Gray Pink Gray\nBlack Black Black Black Black Black Gray Brown Pink Gray\nBlack Black Black Black Black Black Brown Pink Pink Gray\nBlack Black Black Black Black Black Gray Gray Brown Brown\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Pink Green Black Black Black Black Black Black Black\nBlue Yellow Purple Black Black Black Black Black Black Black\nBrown Red Orange Black Black Black Black Black Black Black\nGray Pink Pink Gray Gray Black Black Black Black Black\nGray Pink Blue Pink Gray Black Black Black Black Black\nPink Blue Blue Blue Gray Black Black Black Black Black\nPink Gray Blue Blue Gray Black Black Black Black Black\nGray Pink Gray Gray Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Gray Gray Pink Pink Gray\nBlack Black Black Black Black Gray Pink Blue Pink Gray\nBlack Black Black Black Black Gray Blue Blue Blue Pink\nBlack Black Black Black Black Gray Blue Blue Gray Pink\nBlack Black Black Black Black Pink Gray Gray Pink 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\n\n\nHere is the input grid for the test example:\nInput:\nRed Brown Gray Black Black Black Black Black Black Black\nPurple Blue Pink Black Black Black Black Black Black Black\nGreen Orange Yellow Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black\nBrown Pink Pink Black Black Black Black Black Black Black\nPink Pink Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Pink Pink Pink\nBlack Black Black Black Black Black Black Pink Pink Brown\nBlack Black Black Black Black Black Black Brown 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Blue Black Black\nBlue Blue Black Black Black\nGray Gray Gray Gray Gray\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nYellow Yellow Yellow Gray Gray\n\n\nExample 2\nInput:\nBlack Black Blue Blue Black\nBlack Black Black Gray Black\nBlue Blue Black Gray Black\nBlack Black Gray Black Black\nGray Gray Gray Gray Gray\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Yellow Black\nBlack Black Black Gray Black\nBlack Black Yellow Black Black\nYellow Yellow Gray Gray Gray\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Blue Black Black\nGray Gray Gray Gray Gray\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nGray Gray Yellow Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Black Blue Black\nBlack Black Black Black Black\nBlack Black Black Gray Black\nBlack Black Black Gray Black\nGray Gray Gray Gray Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Yellow Black\nBlack Black Black Gray Black\nGray Yellow Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow 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\nBlack Black Black Black Black Black 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 Pink Pink Black Pink Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Pink Pink Black Pink Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black\nBlack Black Pink Black Black Pink Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Orange Black Black Black\nBlack Black Black Orange Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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 Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black\nBlack Black Orange Black Orange Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\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 Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black 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```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Green Black Black Pink\nPink Green Green Green Green Green Pink\nPink Green Green Green Green Green Pink\nPink Black Black Green Black Black Pink\nPink Pink Pink Pink Pink Pink Pink\n\nOutput:\nBlack Black Green Black Black Black Black Green Black Black\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nBlack Black Green Black Black Black Black Green Black Black\nBlack Black Green Black Black Black Black Green Black Black\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nBlack Black Green Black Black Black Black Green Black Black\n\n\nExample 2\nInput:\nOrange Orange Orange Orange Orange Orange\nOrange Green Orange Orange Orange Orange\nOrange Black Green Orange Green Orange\nOrange Black Black Orange Orange Orange\nOrange Black Green Orange Green Orange\nOrange Green Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange\n\nOutput:\nGreen Orange Orange Orange Orange Orange Orange Green\nBlack Green Orange Green Green Orange Green Black\nBlack Black Orange Orange Orange Orange Black Black\nBlack Green Orange Green Green Orange Green Black\nGreen Orange Orange Orange Orange Orange Orange Green\nGreen Orange Orange Orange Orange Orange Orange Green\nBlack Green Orange Green Green Orange Green Black\nBlack Black Orange Orange Orange Orange Black Black\nBlack Green Orange Green Green Orange Green Black\nGreen Orange Orange Orange Orange Orange Orange Green\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray\nGray Orange Black Black Black Orange Gray\nGray Orange Orange Black Orange Orange Gray\nGray Orange Orange Black Orange Orange Gray\nGray Orange Orange Orange Orange Orange Gray\nGray Orange Orange Black Orange Orange Gray\nGray Gray Gray Gray Gray Gray Gray\n\nOutput:\nOrange Black Black Black Orange Orange Black Black Black Orange\nOrange Orange Black Orange Orange Orange Orange Black Orange Orange\nOrange Orange Black Orange Orange Orange Orange Black Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Black Orange Orange Orange Orange Black Orange Orange\nOrange Orange Black Orange Orange Orange Orange Black Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Black Orange Orange Orange Orange Black Orange Orange\nOrange Orange Black Orange Orange Orange Orange Black Orange Orange\nOrange Black Black Black Orange Orange Black Black Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink\nPink Black Green Black Pink\nPink Green Green Green Pink\nPink Black Green Black 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```\nBlack Green Black Black Green Black\nGreen Green Green Green Green Green\nBlack Green Black Black Green Black\nBlack Green Black Black Green Black\nGreen Green Green Green Green Green\nBlack Green Black Black Green Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nOrange Black Black Orange Orange Black Black Orange\nBlack Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Orange Orange Orange\nBlack Black Orange Black Black Orange Black Black\nBlack Black Black Black Black Black Black Black\nBlack Orange Orange Black Black Orange Orange Black\nBlack Orange Orange Black Black Orange Orange Black\nBlack Black Black Orange Orange 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\n\n\nExample 2\nInput:\nOrange Black Orange Black Orange Black Orange\nBlack Orange Black Black Black Orange Black\nOrange Black Black Black Black Black Orange\nOrange Black Black Black Black Black Orange\nOrange Black Orange Black Orange Black Orange\nOrange Orange Black Black Black Orange Orange\nOrange Black Black Black Black Black Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Orange Orange Orange Black Orange Orange Orange Black\nBlack Orange Orange Orange Black Orange Orange Orange Black\nOrange Black Black Black Black Black Black Black Orange\nBlack Orange Orange Orange Black Orange Orange Orange Black\nBlack Black Orange Orange Black Orange Orange Black Black\nOrange Black Orange Orange Black Orange Orange Black Orange\nOrange Black Black Black Black Black Black Black Orange\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nOrange Orange Black Orange Black Orange Black Orange Orange\nBlack Black Orange Orange Black Orange Orange Black Black\nBlack Black Orange Black Black Black Orange Black Black\nBlack Black Orange Black Black Black Orange Black Black\nOrange Orange Black Orange Black Orange Black Orange Orange\nBlack Orange Black Orange Black Orange Black Orange Black\nOrange Black Orange Orange Black Orange Orange Black Orange\nOrange Orange Orange Black Black Black Orange Orange Orange\nBlack Orange Orange Black Black Black Orange Orange Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange 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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Gray Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Gray Gray Gray Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Gray Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Black Black Black Black Gray Gray Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Gray Gray Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Gray Gray Gray Gray Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray 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\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black 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```\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Pink\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 Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed Red Red Red Red Black Black Red Red Red Red Red\nRed Red Red Red Red Black Black Red Red Red Red Red\nRed Red Red Red Red Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Red Red Red Red Red\nRed Red Red Red Red Black Black Red Red Red Red Red\nRed Red Red Red Red Black Black Red Red Red Red Red\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 Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nRed Red Red Red Red Black Black Black Black Red Red Red Red Red\nRed Red Red Red Red Black Black Black Black Red Red Red Red Red\nRed Red Red Red Red Black Black Black Black Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Red Red Red Red Red\nRed Red Red Red Red Black Black Black Black Red Red Red Red Red\nRed Red Red Red Red Black Black Black Black Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray\nGray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Blue Brown Brown Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Blue Brown Brown Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\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\nOutput:\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Brown Blue Blue Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black\nBrown Brown Brown Black Brown Brown Blue Blue Black Black Black Black\nBrown Brown Brown Brown Brown Brown Blue Blue Black Black Black Black\nBrown Brown Brown Blue Brown Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Brown Blue Blue Blue Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Pink Gray Gray Black Black Black\nBlack Black Black Pink Pink Pink Gray Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black\n\nOutput:\nBlack Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Brown Purple Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black\n\nOutput:\nBlack Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Purple Brown Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black\nPurple Purple Purple Purple Brown Brown Brown Black Black Black Black\nPurple Purple Purple Purple Purple Brown Brown Black Black Black Black\nPurple Purple Purple Purple Brown Brown Brown Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black\nYellow Yellow Yellow Black Yellow Black Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown\nYellow Yellow Yellow Black Yellow Black Brown Brown Brown\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Purple Pink Pink Gray Gray Black Black Black Black\nBlack Black Purple Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Gray Gray Pink Pink Pink Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Green Black Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Red Red Red Blue Blue Black\nBlack Black Black Black Black Black Red Red Red Blue Blue Black\nBlack Black Black Black Black Black Red Red Red 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\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 Green Black Red Red Red Purple Brown Black\nBlack Black Black Black Black Black Red Red Red Purple Brown Black\nBlack Black Black Black Black Black Red Red Red Purple Black Black\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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nPurple 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Orange Orange Black\nBlack Black Black Black Brown Gray Black Gray Orange Orange Orange Gray Black\nBlack Black Black Brown Brown Gray Black Blue Red Blue Red Gray Black\nBlack Black Brown Brown Brown Brown Black Red Yellow Blue Yellow Red Black\nBlack Black Gray Blue Brown Purple Black Yellow Yellow Blue Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Yellow Green Green Green\nBlack Black Purple Gray Purple Black Black Black Black Yellow Green Green Blue\nBlack Black Purple Pink Purple Black Brown Gray Black Yellow Blue Green Green\nBlack Black Purple Black Blue Black Blue Blue Black Black Yellow Yellow Yellow\nBlack Black Black Black Brown Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Gray Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Brown Gray Black Black Black\nPurple Gray Purple Brown Gray Orange Orange Black\nPurple Pink Purple Brown Brown Gray Gray Black\nPurple Gray Blue Brown Blue Blue Gray Black\nBlack Black Brown Blue Blue Blue Red Black\nBlack Black Gray Blue Blue Blue Yellow Black\nBlack Black Black Black Yellow Green Green Green\nBlack Black Black Black Yellow Green Green Blue\nBlack Black Black Black Yellow Blue Green Green\nBlack Black Black Black Black Yellow Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Purple Pink Pink Black Black Black\nBlack Black Blue Black Green Green Green Blue Green Black Black Black\nBlack Blue Blue Blue Green Green Black Green Green Black Black Black\nBlack Black Blue Black Green Green Black Green Green 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 Blue Black\nBlack Black Black Black Black Black Black Purple Pink Purple Purple Black\nBlack Black Blue Blue Blue Blue Black Pink Yellow Pink Black Black\nBlack Black Black Blue Blue Blue Purple Purple Pink Purple Black Black\nBlack Black Blue Blue Blue Black Black Black Black Purple Black Black\nBlack Black Blue Black Blue Blue Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink Pink Purple Pink\nBlack Black Black Purple Black Black Blue Black Green Green Green Blue\nBlack Black Black Purple Pink Purple Purple Blue Green Green Black Green\nBlue Blue Black Pink Yellow Pink Blue Black Green Green Black Green\nBlue Blue Purple Purple Pink Purple Black Black Black Black Black Black\nBlue Black Black Black Black Purple Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Purple Blue Black Black Black\nBlack Purple Purple Purple Purple Black Purple Purple Purple Black Black Black\nBlack Purple Blue Red Purple Black Black Purple Black Black Black Black\nBlack Purple Pink Pink Purple Black Black Brown Pink Gray Black Black\nBlack Orange Pink Pink Orange Black Gray Gray Gray Gray Brown Black\nBlack Black Black Black Black Black Pink Gray Blue Gray Pink Black\nBlack Black Black Black Black Black Brown Gray Gray Gray Gray Black\nBlack Black Black Blue Pink Blue Black Blue Pink Brown Black Black\nBlack Black Black Black Pink Red Red Black Black Pink Black Black\nBlack Black Black Orange Orange Black Black Black Pink Blue Pink Black\nBlack Black Black Black Gray Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Purple Purple Purple Purple\nBlack Purple Blue Red Purple\nPurple Purple Pink Pink Purple\nBlack Orange Pink Pink Orange\nBlack Brown Pink Gray Black\nGray Gray Gray Gray Brown\nPink Gray Blue Gray Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Black Blue Black Black Orange Orange Black Black Black\nBlack Black Black Blue Yellow Yellow Blue Black Black Orange Orange Black Black Black\nBlack Black Black Blue Yellow Yellow Black Black Blue Purple Purple Blue Black Black\nBlack Black Black Blue Black Blue Blue Black Blue Green Green 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 Orange Orange Black\nBlack Orange Orange Black\nBlue Purple Purple Blue\nBlue Green Green Blue\nBlack Blue Blue Black\nBlue Blue Blue Blue\nBlue Blue Black Blue\nBlue Yellow Yellow Blue\nBlue Yellow Yellow Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Green Green Black Black Black Black Black Black Black Black Black Red Black Black Black\nGreen Green Green Black Green Green Black Black Black Black Black Black Red Red Black Red Red Black Black\nGreen Green Green Black Green Green Black Black Black Black Black Black Red Red Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange\nBlack Gray Gray Black Black Black Black Orange Orange Orange\nBlack Gray Gray Black Black Black Black Orange Orange Orange\nBlack Gray Gray 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\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Blue Red Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Blue Red\nBlack Black Black Black Red Red Red Red Black Red Red Red Red\nBlack Black Black Black Red Red Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Blue Red Black Red Red Red Black\nBlack Black Black Black Red Red Red Red Black Red Blue Red Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Red Red Blue Red Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Black Black Black\n\nOutput:\nBlack Black Black Black Red Red Black Black Black Black Black Black Black\nBlack Black Black Red Black Red Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Red Black Red Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Red Black Black Red Black Red Black\nBlack Black Black Black Red Black Red Red Black Black Black Black Black\nBlack Black Black Black Red Red Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Blue Red Black Black Black Black Black Black\nBlack Black Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Black Black\nRed Blue Black Red Red Red Red Black Red Red Red Red\nRed Red Black Red Red Blue Red Black Red Red Blue Red\nBlack Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Black Black Black Black Black Black\nBlack Black Red Black Black Red Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black\nRed Black Black Red Black Red Red Black Black Black Black Black\nRed Red Black Red Red Black Red Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Blue Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Red Red Red\nRed Red Red Black Black Black Black Black Black Red Blue Red\nRed Blue Red Black Black Red Red Black Black Red Red Red\nRed Red Red Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Red Blue Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Black Red Black Black Red Red Black Black Black Red Black\nRed Red Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Red Red Red Black Black Black Black\nBlack Black Red Blue Red Black Black Red Blue Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Blue Red 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 Red Red Black Black Black Red Red Black Black Black Black\nBlack Black Red Black Red Black Black Red Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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:\nBrown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray 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\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:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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```\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown 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\nBrown 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\nBrown 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\nBrown 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\nBrown 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\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\n\nOutput:\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Black Black Black Black Black Black\nBlack Green Green Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue 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\nRed Red Red Black Black Black Black Black Black Black\nRed Red Red Brown Brown Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Pink Blue Blue Black\nBlack Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black\nBlack Brown Brown Red Red Red Black Black Black Black Black\nBlack Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Blue Blue Pink Black\nBlack Black Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Pink Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Black Black Brown Brown\nBlack Black Black Black Pink Pink Black Black Brown Brown\nBlack Black Black Black Pink Pink Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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 Pink Pink Black Black Brown Brown\nBlack Black Black Black Black Pink Pink Black Black Brown Brown\nBlack Black Black Black Black Pink Pink Black Black Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black\nPink Brown Brown Brown Black Black Black Black Black Black\nPink Black Black Green Green Green Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Brown Brown Green Green Green Black Black Black Black\nPink Brown Brown Green Green Green Black Black Black Black\nPink Brown Brown Green Green Green Black Black Black Black\nPink Brown Brown Green Green Green Black Black Black Black\nPink Brown Brown Green Green Green Black Black Black Black\nPink Brown Brown Green Green Green Black Black Black Black\nPink Brown Brown Green Green Green Black Black Black Black\nPink Brown Brown Green Green Green Black Black Black Black\nPink Brown Brown Green Green Green Black Black Black Black\nPink Brown Brown Green Green Green Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black\nBlack Black Black Yellow 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\nGreen Green Green Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Green Green Yellow Yellow Black Black Black Black Black\nOrange Green Green Yellow Yellow Black Black Black Black Black\nOrange Green Green Yellow Yellow Black Black Black Black Black\nOrange Green Green Yellow Yellow Black Black Black Black Black\nOrange Green Green Yellow Yellow Black Black Black Black Black\nOrange Green Green Yellow Yellow Black Black Black Black Black\nOrange Green Green Yellow Yellow Black Black Black Black Black\nOrange Green Green Yellow Yellow Black Black Black Black Black\nOrange Green Green Yellow Yellow Black Black Black Black Black\nOrange Green Green Yellow 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 Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black\nBlack Red Red Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Red Red Blue Brown Brown Black Black Black Black\nBlack Red Red Blue Brown Brown Black Black Black Black\nBlack Red Red Blue Brown Brown Black Black Black Black\nBlack Red Red Blue Brown Brown Black Black Black Black\nBlack Red Red Blue Brown Brown Black Black Black Black\nBlack Red Red Blue Brown Brown Black Black Black Black\nBlack Red Red Blue Brown Brown Black Black Black Black\nBlack Red Red Blue Brown Brown Black Black Black Black\nBlack Red Red Blue Brown Brown Black Black Black Black\nBlack Red Red Blue Brown Brown Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black Black\nBlue Orange Blue Brown Brown Brown Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black Black Black Black\nPink 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 Orange Blue Pink Pink Brown Black Black Black Black\nPink Orange Blue Pink Pink Brown Black Black Black Black\nPink Orange Blue Pink Pink Brown Black Black Black Black\nPink Orange Blue Pink Pink Brown Black Black Black Black\nPink Orange Blue Pink Pink Brown Black Black Black Black\nPink Orange Blue Pink Pink Brown Black Black Black Black\nPink Orange Blue Pink Pink Brown Black Black Black Black\nPink Orange Blue Pink Pink Brown Black Black Black Black\nPink Orange Blue Pink Pink Brown Black Black Black Black\nPink Orange Blue Pink Pink Brown Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Pink Black Black Black\nBlack Black Black Pink Pink Pink Black Black\nBlack Black Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Black Black\nBlack Black Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Brown Brown Brown Black Black Black\nBlack Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Brown Black Black Black\nBlack Black Brown Brown Brown Black Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Black Brown Brown Brown Black Black\nBlack Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Pink Pink Pink Pink Pink Black Black\nBlack Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Pink Pink Pink Black Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Black Pink Pink Pink Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow 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 Black Black Black Black Orange\nBlack Black Black Gray Gray Black\nBlack Gray Gray Gray Gray Black\nBlack Gray Black Black Gray Black\nBlack Gray Black Black Gray Black\nBlack Gray Gray Gray Gray Black\nBlack Black Black Gray Gray Black\nBrown Black Black Black Black Green\n\nOutput:\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\nPurple Purple Purple Purple\n\n\nExample 2\nInput:\nBrown Black Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Green Green Green Green Green Green Green Black\nBlack Green Green Green Black Black Green Black Black Green Black\nBlack Green Green Green Black Black Green Black Black Green Black\nBlack Green Green Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Orange\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nGray Black Black Black Black Black Black Black Black Red\nBlack Red Red Red Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Red Black Black\nBlack Black Red Red Red Red Black Red Black Black\nBlack Black Black Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Black\nYellow Black Black Black Black Black Black Black Black Brown\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBrown Black Black Black Black Green\nBlack Black Green Black Black Black\nBlack Black Green Green Green Black\nBlack Green Green Green Black Black\nBlack Black Black Green Black Black\nBlue Black Black Black Black Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown\nBrown Brown Brown Brown\nBrown Brown Brown Brown\nBrown Brown Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Red Orange Red Orange Red Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Red Black Black Black Red Black\nBlack Black Black Black Black Red Black Red Black Black Black Red Black\nBlue Black Black Black Black Black Black Orange Orange Red Orange Orange Black\nBlue Black Black Black Black Black Black Yellow Orange Black Orange Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Red Orange Red Orange Red Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Red Black Black Black Red Black\nBlack Black Black Black Black Red Black Red Black Black Black Red Black\nOrange Black Black Black Black Black Black Orange Orange Red Orange Orange Black\nOrange Black Black Black Black Black Black Yellow Orange Black Orange Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Pink Purple Purple Black Black Black\nBlack Black Black Black Black Black Blue Purple Blue Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Blue Purple Blue Black Black Black\nBlack Black Black Black Black Green Pink Purple Purple 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\nOrange Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Pink Purple Purple Black Black Black\nBlack Black Black Black Black Black Blue Purple Blue Black Black Black\nBlack Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Blue Purple Blue Black Black Black\nBlack Black Black Black Black Green Pink Purple Purple 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 Pink Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Orange Yellow Yellow Orange Black Black\nBlack Black Black Black Black Black Black Black Gray Yellow Yellow Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black Black 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 Pink Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Orange Yellow Yellow Orange Black Black\nBlack Black Black Black Black Black Black Black Gray Yellow Yellow Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Yellow Black\nBlack Black Black Blue Black Black Black Black Black Black Gray Gray Yellow Black\nYellow Black Blue Blue Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Yellow Black\nBlack Black Black Blue Black Black Black Black Black Black Gray Gray Yellow Black\nOrange Black Blue Blue Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Pink Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Green Black Black Black Black Black\nBlack Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Green Black Black Black Green Black\nBlack Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Green 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\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 Green Black Black Black Black Black\nBlack Green Green Green Green Black Black Black\nBlack Black Green Green Green Green Black Black\nBlack Black Black Black Green Black Black Black\nBlack Black Green Black Black Black Green Black\nBlack Green Green Green Black Green Green Green\nBlack Black Green Black Black Green Green Green\nBlack Black Black Black Black Green Green Green\nBlack Green Black Black Black Black Green Black\nGreen Green Green Black Black Green Green Green\nBlack Green Black Black Green Green Green 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\n\n\nExample 2\nInput:\nBlack Green Black Black Green Black Black Green Black Black\nBlack Black Black Black Black Black Green Black Green Black\nBlack Black Black Green Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Black\nBlack Green Black Green Green Green Green Green Green Green\nBlack Black Green Green Green Green Green Black Green Black\nBlack Black Black Green Black Green Black Black Green Black\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Green\n\n\nExample 3\nInput:\nBlack Black Black Green Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green\nBlack Black Green Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Green Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green\nBlack Black Green Black Black Black Black Black Black Green Green\nBlack Green Green Green Black Black Green Black Black Green Green\nGreen Green Green Black Black Green Green Green Green Green Green\nBlack Green Black Black Black Black Green Black Black Green Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black Green\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGreen Black Black Black Green Black Green Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Green Black Black Black\nBlack Black Black Black Green Black Black Black Green\nBlack Black Black Green Green Green Black Green Green\nBlack Black Black Black Green Black Black Black Green\nGreen Black Black Black Green Black Green Black Black\nGreen Green Black Green Green Green Green Green Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Black Yellow Brown Yellow Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Gray Black Black Yellow Black Black Gray Black Black Black Black Black Black Black Black Black Black Black\nGray Black Gray Black Gray Black Yellow Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Brown Gray Brown Yellow Black Gray Black Brown Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Gray Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Gray Brown Yellow Yellow Yellow Brown Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Brown Brown Black Yellow Black Gray Black Black Brown Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Black Yellow Brown Yellow Brown Black Black Black Black Black Black Black Black Brown Yellow Brown Yellow Black Yellow Yellow\nBlack Black Yellow Black Gray Black Black Yellow Black Black Gray Gray Black Black Yellow Black Black Gray Black Yellow Black Black\nGray Black Gray Black Gray Black Yellow Black Black Brown Black Black Brown Black Black Yellow Black Gray Black Gray Black Gray\nBlack Yellow Black Brown Gray Brown Yellow Black Gray Black Brown Brown Black Gray Black Yellow Brown Gray Brown Black Yellow Black\nYellow Yellow Yellow Gray Black Black Black Black Black Yellow Black Black Yellow Black Black Black Black Black Gray Yellow Yellow Yellow\nBrown Black Black Black Black Black Black Black Black Brown Black Black Brown Black Black Black Black Black Black Black Black Brown\nYellow Yellow Gray Brown Yellow Yellow Yellow Brown Yellow Yellow Yellow Yellow Yellow Yellow Brown Yellow Yellow Yellow Brown Gray Yellow Yellow\nBlack Gray Brown Brown Black Yellow Black Gray Black Black Brown Brown Black Black Gray Black Yellow Black Brown Brown Gray Black\n\n\nExample 2\nInput:\nBlack Black Purple Black Orange Black Gray Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Gray Black Black Black Orange Black Gray Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Pink Pink Purple Orange Pink Black Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Black Gray Gray Orange Black Pink Black Purple Orange Gray Black Black Black Black Black Black Black Black Black Black Black\nPurple Pink Black Black Pink Gray Black Orange Orange Gray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Gray Black Pink Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Gray Gray Black Black Black Orange Purple Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Purple Black Orange Black Gray Pink Pink Black Black Black Black Pink Pink Gray Black Orange Black Purple Black Black\nBlack Gray Black Gray Black Black Black Orange Black Gray Black Black Gray Black Orange Black Black Black Gray Black Gray Black\nPurple Pink Pink Purple Orange Pink Black Pink Gray Gray Black Black Gray Gray Pink Black Pink Orange Purple Pink Pink Purple\nPurple Black Gray Gray Orange Black Pink Black Purple Orange Gray Gray Orange Purple Black Pink Black Orange Gray Gray Black Purple\nPurple Pink Black Black Pink Gray Black Orange Orange Gray Black Black Gray Orange Orange Black Gray Pink Black Black Pink Purple\nGray Black Black Black Black Gray Black Pink Gray Gray Black Black Gray Gray Pink Black Gray Black Black Black Black Gray\nBlack Orange Gray Gray Black Black Black Orange Purple Black Black Black Black Purple Orange Black Black Black Gray Gray Orange Black\n\n\nExample 3\nInput:\nOrange Blue Blue Black Blue Orange Orange Orange Black Orange Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Blue Blue Black Orange Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Blue Black Orange Orange Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Black Blue Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Black Orange Orange Orange Black Blue Blue Orange Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Blue Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Blue Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Blue Blue Black Blue Orange Orange Orange Black Orange Orange Black Orange Orange Orange Blue Black Blue Blue Orange\nBlue Blue Black Black Black Blue Blue Black Orange Black Black Orange Black Blue Blue Black Black Black Blue Blue\nOrange Orange Black Blue Black Orange Orange Black Orange Black Black Orange Black Orange Orange Black Blue Black Orange Orange\nBlack Orange Black Black Blue Black Black Blue Black Black Black Black Blue Black Black Blue Black Black Orange Black\nBlack Orange Black Orange Orange Orange Black Blue Blue Orange Orange Blue Blue Black Orange Orange Orange Black Orange Black\nOrange Black Black Black Black Black Blue Orange Black Black Black Black Orange Blue Black Black Black Black Black Orange\nBlack Black Black Black Black Orange Orange Black Black Blue Blue Black Black Orange Orange Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nYellow Black Black Brown Yellow Black Brown Black Blue Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Brown Brown Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Blue Black Blue Brown Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Blue Black Blue Brown Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Yellow Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Brown Black Black Black Brown Black Yellow Black Black Black Black Black Black Black Black Black Black\nBrown Black Yellow Yellow Black Black Black Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Blue Brown Yellow Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Blue Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nYellow Black Black Brown Yellow Black Brown Black Blue Yellow Yellow Blue Black Brown Black Yellow Brown Black Black Yellow\nBlack Black Yellow Yellow Brown Brown Blue Blue Blue Black Black Blue Blue Blue Brown Brown Yellow Yellow Black Black\nYellow Black Blue Black Blue Brown Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Blue Black Blue Black Yellow\nYellow Black Black Black Black Black Blue Black Blue Brown Brown Blue Black Blue Black Black Black Black Black Yellow\nBrown Black Black Black Yellow Black Brown Black Black Black Black Black Black Brown Black Yellow Black Black Black Brown\nBlack Brown Black Brown Black Black Black Brown Black Yellow Yellow Black Brown Black Black Black Brown Black Brown Black\nBrown Black Yellow Yellow Black Black Black Brown Black Black Black Black Brown Black Black Black Yellow Yellow Black Brown\nBlue Black Black Blue Brown Yellow Brown Black Black Black Black Black Black Brown Yellow Brown Blue Black Black Blue\nBlack Black Brown Black Blue Black Black Black Yellow Black Black Yellow Black Black Black Blue Black 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Red Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Green Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\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 Red Black Yellow Black\nBlack Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Yellow Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Yellow\nBlack Black Black Black Black Black Black Red Red Black\nRed Black Black Yellow Green Black Black Black Black Black\nRed Black Black Yellow Yellow Black Blue Green Black Black\nBlack Black Black Black Black Black Red Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Red Yellow\nBlack Black Black Black Black Black Black Red Red Black\nGreen Black Black Blue Yellow Black Black Black Black Black\nGreen Black Black Blue Blue 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\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 Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black\nBlack Black Green Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Green Green Black Black Black\nBlack Black Green Green Green Green Green Black Black Black\nBlack Black Green Black Black Black Green Black Black Black\nBlack Black Green Black Black Black Green Black Black Black\nBlack Black Green Green Green Green Green Black Black Black\nBlack Black Green Green Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Black Blue Black Black Blue Black Black Black\nBlack Black Blue Blue Black Black Blue Blue Black Black\nBlack Black Blue Blue 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\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 Green Green Green Black Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black Black Black\nBlack Black Green Green Black Green Green Black Black Black Black Black\nBlack Black Green Green Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\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 Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Green Green Black Green Black\nBlack Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Green Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Blue Blue Black Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with 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 Brown Purple Pink Black Black Orange\nOrange Gray Orange Black Black Orange Purple Orange\nBlack Blue Black Black Purple Brown Black Black\nBlack Yellow Green Purple Black Black Brown Blue\nPurple Yellow Gray Black Blue Purple Blue Red\nGray Black Red Red Red Black Black Pink\nBlack Black Black Brown Brown Pink Black Black\nBlack Blue Purple Black Purple Green Brown Red\nGreen Black Pink Red Orange Green Brown Orange\nOrange Black Blue Gray Yellow Red Red Purple\nPurple Yellow Red Red Orange Green Red Orange\nYellow Purple Blue Yellow Gray Red Black Black\n\nOutput:\nBlack Orange Pink Orange Orange Black Black Orange\nYellow Pink Pink Black Black Orange Orange Orange\nBlack Gray Black Black Purple Purple Black Black\nBlack Yellow Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Blue Black Yellow Yellow Gray Gray\nPink Black Yellow Yellow Pink Black Black Green\nBlack Black Black Yellow Yellow Gray Black Black\nBlack Gray Yellow Black Gray Orange Yellow Purple\nGray Black Yellow Gray Blue Gray Blue Gray\nYellow Black Blue Blue Blue Yellow Yellow Gray\nGray Yellow Yellow Yellow Green Green Blue Blue\nPink Yellow Blue Blue Blue Blue Black Black\n\n\nExample 2\nInput:\nYellow Black Green Black Black Brown Blue\nBrown Black Black Purple Pink Orange Green\nBlack Yellow Yellow Blue Black Orange Green\nBlue Black Gray Black Gray Black Pink\nRed Yellow Gray Orange Orange Purple Purple\nBlack Gray Purple Green Brown Blue Black\nYellow Purple Gray Blue Brown Green Black\nBlack Green Orange Purple Black Orange Green\nBlue Pink Purple Gray Black Red Black\nGreen Yellow Black Blue Red Orange Blue\n\nOutput:\nBrown Black Purple Black Black Yellow Pink\nYellow Black Black Blue Pink Yellow Gray\nBlack Gray Gray Gray Black Yellow Gray\nBlue Black Yellow Black Pink Black Pink\nYellow Yellow Gray Gray Gray Pink Gray\nBlack Gray Yellow Pink Gray Orange Black\nGray Gray Gray Pink Yellow Pink Black\nBlack Gray Gray Pink Black Blue Blue\nBlue Yellow Gray Gray Black Yellow Black\nYellow Yellow Black Yellow Yellow Red Yellow\n\n\nExample 3\nInput:\nYellow Red Green Purple Orange Blue Black\nGreen Black Blue Black Orange Red Purple\nBlack Orange Gray Pink Black Brown Black\nBlue Black Blue Purple Orange Brown Black\nBlue Black Black Yellow Black Yellow Brown\nBlue Black Blue Black Blue Black Brown\nPink Pink Red Blue Black Purple Pink\nYellow Brown Black Blue Black Black Purple\nBlack Green Black Brown Black Purple Yellow\nOrange Purple Blue Black Black Green Purple\nPurple Red Brown Orange Blue Orange Green\n\nOutput:\nRed Green Yellow Yellow Yellow Gray Black\nYellow Black Yellow Black Gray Pink Yellow\nBlack Blue Gray Gray Black Pink Black\nGray Black Pink Gray Pink Orange Black\nBlue Black Black Yellow Black Orange Orange\nGray Black Blue Black Yellow Black Pink\nGray Yellow Yellow Green Black Pink Purple\nGray Blue Black Yellow Black Black Pink\nBlack Pink Black Blue Black Gray Pink\nYellow Gray Pink Black Black Gray Yellow\nGray Orange Yellow Gray Gray Blue Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Gray Brown Brown Black Pink Black Brown Black\nPink Black Yellow Orange Gray Pink Brown Black Blue\nPurple Gray Pink Green Orange Black Green Red Black\nOrange Yellow Blue Gray Black Black Black Yellow Black\nBlack Black Orange Green Purple Pink Gray Orange Red\nYellow Orange Brown Yellow Black Black Gray Pink Brown\nPink Red Black Black Red Orange Pink Black Blue\nBlack Orange Purple Brown Gray Black Green Black Black\nYellow Gray Red Black Black Gray Black Black Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Pink Pink Pink Black Pink Black Pink Black\nPink Black Pink Pink Pink Gray Yellow Black Gray\nGray Gray Yellow Gray Gray Black Gray Yellow Black\nGray Pink Yellow Gray Black Black Black Blue Black\nBlack Black Yellow Pink Yellow Pink Gray Gray Pink\nYellow Gray Yellow Gray Black Black Pink Gray Yellow\nYellow Pink Black Black Pink Blue Gray Black Orange\nBlack Yellow Yellow Blue Gray Black Pink Black Black\nPink Gray Orange Black Black Blue Black Black Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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\nBlack 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 Red Red Red Red Red Red 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red\nBlack Black Black Black Black Red Black Red\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red\nBlack Black Black Black Black Black Black Red\nBlack Black Black Black Black Black Black Red\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black 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 Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Gray Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Black Black Gray Black Black Black\nBlack Black Gray Black Black Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Black Gray Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Yellow Black Black Black\nBlack Black Yellow Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Gray Gray Gray Black Black\nBlack Black Gray Black Black Black Gray Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray 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 Yellow Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Black Black Black Yellow Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow 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 Gray Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black\nBlack Black Gray Black Black Gray Gray Gray Gray Gray\nBlack Gray Gray Gray Black Black Gray Gray Gray Black\nGray Gray Gray Gray Gray Black Black Gray Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack 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 Yellow Yellow Black\nBlack Black Yellow Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black Black Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Black Black Yellow Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Gray Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black 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\nDirectly provide the output grids corresponding to the given test input grids, based on the 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 Yellow Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows 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 Purple Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Orange Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Purple Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black\nOrange Orange Orange Black Black Black Orange Black Black Black Purple Purple Purple Purple Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBlack Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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 Pink Pink Black Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Brown Brown Black Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Green Black Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Blue Blue Black Black Black Black\nGreen Green Black Black Black Black Black Black Brown Brown Black Black Blue Black Black Blue Blue Black Black Black Black\nGreen Green Black Black Black Black Black Black Brown Brown Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Pink Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Pink Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Pink Pink Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Pink Pink Pink Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Pink Pink Pink Black Black Pink Pink Pink Black Black Black Black Black Black Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black Black\nBlack Orange Orange 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\nOutput:\nOrange Orange Orange Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black\nBlack Orange Orange Orange Orange Orange Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\n\nOutput:\nGray Gray Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Gray Gray Gray Black Black\nBlack Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Pink Pink 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```\nPink Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black\nBlack Black Black Black Black Black Black Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nOrange Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Black Black Black Black Black Black\nOrange Black Black Black Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Black Black Black Black Black Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nGray Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Gray\nBlack Black Black Black Black Black Black Black Black Black Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black\nPink Black Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black 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:\nRed Red Red Red Red Red Red Red Red\nRed Yellow Yellow Yellow Black Yellow Yellow Yellow Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Black Yellow Yellow Yellow Yellow Yellow Black Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Yellow Yellow Yellow Black Yellow Yellow Yellow Red\nRed Red Red Red Red Red Red Red Red\n\nOutput:\nRed Red Red Red Red Red Red Red Red\nRed Yellow Yellow Yellow Red Yellow Yellow Yellow Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Red Yellow Yellow Yellow Yellow Yellow Red Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red\nRed Yellow Yellow Yellow Red Yellow Yellow Yellow Red\nRed Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green\nGreen Black Black Brown Brown Black Black Green\nGreen Brown Brown Brown Brown Brown Brown Green\nGreen Brown Brown Brown Brown Brown Brown Green\nGreen Brown Brown Brown Brown Brown Brown Green\nGreen Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green\nGreen Green Green Brown Brown Green Green Green\nGreen Brown Brown Brown Brown Brown Brown Green\nGreen Brown Brown Brown Brown Brown Brown Green\nGreen Brown Brown Brown Brown Brown Brown Green\nGreen Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nRed Red Red Red Red Red Red\nRed Black Gray Gray Gray Black Red\nRed Gray Gray Black Gray Gray Red\nRed Gray Gray Black Gray Gray Red\nRed Gray Gray Black Gray Gray Red\nRed Black Gray Gray Gray Black Red\nRed Red Red Red Red Red Red\n\nOutput:\nRed Red Red Red Red Red Red\nRed Red Gray Gray Gray Red Red\nRed Gray Gray Red Gray Gray Red\nRed Gray Gray Red Gray Gray Red\nRed Gray Gray Red Gray Gray Red\nRed Red Gray Gray Gray Red Red\nRed Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nGreen Green Green Green Green Green Green Green Green Green\nGreen Red Red Red Red Red Black Red Red Green\nGreen Red Red Red Red Red Red Red Red Green\nGreen Red Red Red Red Red Red Red Black Green\nGreen Red Red Red Red Red Red Red Red Green\nGreen Red Red Red Red Red Red Red Red Green\nGreen Red Red Red Red Red Red Red Red Green\nGreen Black Red Red Red Red Red Red Red Green\nGreen Black Black Red Red Red Red Red Red Green\nGreen Green Green Green Green Green Green Green Green Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Green Green Green Green Green Green Green\nGreen Red Red Red Red Red Green Red Red Green\nGreen Red Red Red Red Red Red Red Red Green\nGreen Red Red Red Red Red Red Red Green Green\nGreen Red Red Red Red Red Red Red Red Green\nGreen Red Red Red Red Red Red Red Red Green\nGreen Red Red Red Red Red Red Red Red Green\nGreen Green Red Red Red Red Red Red Red Green\nGreen Green Green Red Red Red Red Red Red Green\nGreen Green Green Green Green Green Green Green Green Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Red Yellow Yellow Green\nYellow Yellow Blue Yellow Blue\nYellow Yellow Red Blue Green\nYellow Red Blue Yellow Blue\nGreen Green Green Yellow Green\n\nOutput:\nOrange\n\n\nExample 2\nInput:\nYellow Green Yellow Red Green\nBlue Blue Green Blue Yellow\nGreen Blue Green Red Green\nBlue Blue Blue Blue Blue\nYellow Yellow Blue Blue Blue\n\nOutput:\nOrange\n\n\nExample 3\nInput:\nYellow Green Green Green Green\nBlue Yellow Blue Yellow Green\nYellow Blue Green Green Green\nBlue Green Yellow Red Yellow\nRed Yellow Blue Yellow Blue\n\nOutput:\nOrange\n\n\nHere is the input grid for the test example:\nInput:\nYellow Blue Blue Green Blue\nGreen Blue Green Blue Red\nRed Blue Green Yellow Green\nGreen Green Blue Yellow Blue\nYellow Yellow Green 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```\nOrange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Black Black Black\nBlack Black Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Black Black Black\nBlack Black Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Black Black Black\nBlack Black Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Black Black Black\nBlack Black Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Black Black Black\nBlack Black Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Black Black Black\nBlack Black Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Black Black Black\nBlack Black Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Black Black Black\nBlack Black Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack 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\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow Yellow Black\nBlack Black Black Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Black\nBlack Black Black Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Black\nBlack Black Black Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Black\nBlack Black Black Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Black\nBlack Black Black Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Yellow Black\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Blue Blue Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Orange Orange Orange Orange Orange Yellow Yellow Black\nBlack Black Black Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Yellow Black\nBlack Black Black Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Yellow Black\nBlack Black Black Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Yellow Black\nBlack Black Black Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Yellow Black\nBlack Black Black Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Yellow Black\nBlack Black Black Yellow Yellow Yellow Orange Orange Orange Orange Orange Yellow Yellow Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Yellow Yellow\nBlack 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 Green Green\nBlack Black Green Green\nBlack Black Black Black\nBlack 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\nBlack Black Black Black\nGreen Green Black Black\nGreen Green 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:\nGray Gray Black Black\nGray Gray Black Black\nBlack Black Black Black\nBlack Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray Gray Gray Gray\nGray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Orange 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 Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray\nBlack Black Black Black Black Black Black Black Black Black Black Pink Black Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Black Black Orange Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Brown Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Gray Pink Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Brown Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Gray Pink Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Green Black Green\nBlack Black Black Black Black Blue Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Orange Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Gray Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Green Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Pink Black Black Black Black Brown\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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 Purple Black Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black\nBlack Black Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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"
}
] |