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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:\nPurple Purple Purple Purple Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Orange Orange Orange Orange Purple Purple Purple Purple\nPurple Purple Purple Purple Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Orange Orange Orange Orange Purple Purple Purple Purple\nPurple Purple Purple Purple Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Orange Orange Orange Orange Purple Purple Purple Purple\nPurple Purple Purple Purple Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Orange Orange Orange Orange Purple Purple Purple Purple\nOrange Orange Orange Orange Green Green Green Green Green Green Green Green Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray\nOrange Orange Orange Orange Green Green Green Green Green Green Green Green Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray\nOrange Orange Orange Orange Green Green Green Green Green Green Green Green Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray\nOrange Orange Orange Orange Green Green Green Green Green Green Green Green Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray\nPink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Orange Orange Brown Brown Brown Brown Orange Orange Orange Orange\nPink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Orange Orange Brown Brown Brown Brown Orange Orange Orange Orange\nPink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Orange Orange Brown Brown Brown Brown Orange Orange Orange Orange\nPink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Orange Orange Brown Brown Brown Brown Orange Orange Orange Orange\nOrange Orange Orange Orange Red Red Red Red Purple Purple Purple Purple Yellow Yellow Yellow Yellow Orange Orange Orange Orange Purple Purple Purple Purple Gray Gray Gray Gray\nOrange Orange Orange Orange Red Red Red Red Purple Purple Purple Purple Yellow Yellow Yellow Yellow Orange Orange Orange Orange Purple Purple Purple Purple Gray Gray Gray Gray\nOrange Orange Orange Orange Red Red Red Red Purple Purple Purple Purple Yellow Yellow Yellow Yellow Orange Orange Orange Orange Purple Purple Purple Purple Gray Gray Gray Gray\nOrange Orange Orange Orange Red Red Red Red Purple Purple Purple Purple Yellow Yellow Yellow Yellow Orange Orange Orange Orange Purple Purple Purple Purple Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Green Purple Purple Purple Purple Blue Blue Blue Blue Orange Orange Orange Orange Green Green Green Green Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Purple Purple Purple Purple Blue Blue Blue Blue Orange Orange Orange Orange Green Green Green Green Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Purple Purple Purple Purple Blue Blue Blue Blue Orange Orange Orange Orange Green Green Green Green Orange Orange Orange Orange\nGreen Green Green Green Green Green Green Green Purple Purple Purple Purple Blue Blue Blue Blue Orange Orange Orange Orange Green Green Green Green Orange Orange Orange Orange\n\nOutput:\nPurple Purple Purple Purple Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Orange Orange Orange Orange Purple Purple Purple Purple\nPurple Purple Purple Purple Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Orange Orange Orange Orange Purple Purple Purple Purple\nPurple Purple Purple Purple Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Orange Orange Orange Orange Purple Purple Purple Purple\nPurple Purple Purple Purple Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow Pink Pink Pink Pink Orange Orange Orange Orange Purple Purple Purple Purple\nOrange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray\nOrange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray\nOrange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray\nOrange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Orange Orange Orange Orange Pink Pink Pink Pink Gray Gray Gray Gray\nPink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Orange Orange Brown Brown Brown Brown Orange Orange Orange Orange\nPink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Orange Orange Brown Brown Brown Brown Orange Orange Orange Orange\nPink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Orange Orange Brown Brown Brown Brown Orange Orange Orange Orange\nPink Pink Pink Pink Blue Blue Blue Blue Orange Orange Orange Orange Gray Gray Gray Gray Orange Orange Orange Orange Brown Brown Brown Brown Orange Orange Orange Orange\nOrange Orange Orange Orange Red Red Red Red Purple Purple Purple Purple Yellow Yellow Yellow Yellow Orange Orange Orange Orange Purple Purple Purple Purple Gray Gray Gray Gray\nOrange Orange Orange Orange Red Red Red Red Purple Purple Purple Purple Yellow Yellow Yellow Yellow Orange Orange Orange Orange Purple Purple Purple Purple Gray Gray Gray Gray\nOrange Orange Orange Orange Red Red Red Red Purple Purple Purple Purple Yellow Yellow Yellow Yellow Orange Orange Orange Orange Purple Purple Purple Purple Gray Gray Gray Gray\nOrange Orange Orange Orange Red Red Red Red Purple Purple Purple Purple Yellow Yellow Yellow Yellow Orange Orange Orange Orange Purple Purple Purple Purple Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Blue Blue Orange Orange Orange Orange Yellow Yellow Yellow Yellow Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Blue Blue Orange Orange Orange Orange Yellow Yellow Yellow Yellow Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Blue Blue Orange Orange Orange Orange Yellow Yellow Yellow Yellow Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Blue Blue Orange Orange Orange Orange Yellow Yellow Yellow Yellow Orange Orange Orange Orange\n\n\nExample 2\nInput:\nGreen Green Green Green Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Gray Gray Gray Gray\nGreen Green Green Green Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Gray Gray Gray Gray\nGreen Green Green Green Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Gray Gray Gray Gray\nGreen Green Green Green Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Gray Gray Gray Gray\nGray Gray Gray Gray Orange Orange Orange Orange Pink Pink Pink Pink Purple Purple Purple Purple Orange Orange Orange Orange Blue Blue Blue Blue\nGray Gray Gray Gray Orange Orange Orange Orange Pink Pink Pink Pink Purple Purple Purple Purple Orange Orange Orange Orange Blue Blue Blue Blue\nGray Gray Gray Gray Orange Orange Orange Orange Pink Pink Pink Pink Purple Purple Purple Purple Orange Orange Orange Orange Blue Blue Blue Blue\nGray Gray Gray Gray Orange Orange Orange Orange Pink Pink Pink Pink Purple Purple Purple Purple Orange Orange Orange Orange Blue Blue Blue Blue\nGreen Green Green Green Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Blue Blue Pink Pink Pink Pink\nGreen Green Green Green Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Blue Blue Pink Pink Pink Pink\nGreen Green Green Green Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Blue Blue Pink Pink Pink Pink\nGreen Green Green Green Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Blue Blue Pink Pink Pink Pink\nOrange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple\nOrange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple\nOrange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple\nOrange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple\nOrange Orange Orange Orange Purple Purple Purple Purple Pink Pink Pink Pink Yellow Yellow Yellow Yellow Red Red Red Red Gray Gray Gray Gray\nOrange Orange Orange Orange Purple Purple Purple Purple Pink Pink Pink Pink Yellow Yellow Yellow Yellow Red Red Red Red Gray Gray Gray Gray\nOrange Orange Orange Orange Purple Purple Purple Purple Pink Pink Pink Pink Yellow Yellow Yellow Yellow Red Red Red Red Gray Gray Gray Gray\nOrange Orange Orange Orange Purple Purple Purple Purple Pink Pink Pink Pink Yellow Yellow Yellow Yellow Red Red Red Red Gray Gray Gray Gray\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Purple Purple Purple Purple Pink Pink Pink Pink Gray Gray Gray Gray\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Purple Purple Purple Purple Pink Pink Pink Pink Gray Gray Gray Gray\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Purple Purple Purple Purple Pink Pink Pink Pink Gray Gray Gray Gray\nBrown Brown Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Brown Purple Purple Purple Purple Pink Pink Pink Pink Gray Gray Gray Gray\n\nOutput:\nGreen Green Green Green Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray\nGreen Green Green Green Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray\nGreen Green Green Green Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray\nGreen Green Green Green Red Red Red Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray\nGray Gray Gray Gray Orange Orange Orange Orange Pink Pink Pink Pink Purple Purple Purple Purple Orange Orange Orange Orange Blue Blue Blue Blue\nGray Gray Gray Gray Orange Orange Orange Orange Pink Pink Pink Pink Purple Purple Purple Purple Orange Orange Orange Orange Blue Blue Blue Blue\nGray Gray Gray Gray Orange Orange Orange Orange Pink Pink Pink Pink Purple Purple Purple Purple Orange Orange Orange Orange Blue Blue Blue Blue\nGray Gray Gray Gray Orange Orange Orange Orange Pink Pink Pink Pink Purple Purple Purple Purple Orange Orange Orange Orange Blue Blue Blue Blue\nGreen Green Green Green Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Blue Blue Pink Pink Pink Pink\nGreen Green Green Green Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Blue Blue Pink Pink Pink Pink\nGreen Green Green Green Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Blue Blue Pink Pink Pink Pink\nGreen Green Green Green Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple Blue Blue Blue Blue Pink Pink Pink Pink\nOrange Orange Orange Orange Green Green Green Green Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple\nOrange Orange Orange Orange Green Green Green Green Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple\nOrange Orange Orange Orange Green Green Green Green Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple\nOrange Orange Orange Orange Green Green Green Green Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Purple Purple Purple Purple\nOrange Orange Orange Orange Purple Purple Purple Purple Pink Pink Pink Pink Yellow Yellow Yellow Yellow Red Red Red Red Gray Gray Gray Gray\nOrange Orange Orange Orange Purple Purple Purple Purple Pink Pink Pink Pink Yellow Yellow Yellow Yellow Red Red Red Red Gray Gray Gray Gray\nOrange Orange Orange Orange Purple Purple Purple Purple Pink Pink Pink Pink Yellow Yellow Yellow Yellow Red Red Red Red Gray Gray Gray Gray\nOrange Orange Orange Orange Purple Purple Purple Purple Pink Pink Pink Pink Yellow Yellow Yellow Yellow Red Red Red Red Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Pink Pink Pink Pink Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Pink Pink Pink Pink Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Pink Pink Pink Pink Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Pink Pink Pink Pink Gray Gray Gray Gray\n\n\nExample 3\nInput:\nPink Pink Pink Pink Green Green Green Green Gray Gray Gray Gray Pink Pink Pink Pink\nPink Pink Pink Pink Green Green Green Green Gray Gray Gray Gray Pink Pink Pink Pink\nPink Pink Pink Pink Green Green Green Green Gray Gray Gray Gray Pink Pink Pink Pink\nPink Pink Pink Pink Green Green Green Green Gray Gray Gray Gray Pink Pink Pink Pink\nBlue Blue Blue Blue Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown\nBlue Blue Blue Blue Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown\nBlue Blue Blue Blue Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown\nBlue Blue Blue Blue Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown\nGray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Pink Pink Pink Pink\nGray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Pink Pink Pink Pink\nGray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Pink Pink Pink Pink\nGray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Pink Pink Pink Pink\nOrange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink\nOrange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink\nOrange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink\nOrange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Green Green Green Green Gray Gray Gray Gray Pink Pink Pink Pink\nPink Pink Pink Pink Green Green Green Green Gray Gray Gray Gray Pink Pink Pink Pink\nPink Pink Pink Pink Green Green Green Green Gray Gray Gray Gray Pink Pink Pink Pink\nPink Pink Pink Pink Green Green Green Green Gray Gray Gray Gray Pink Pink Pink Pink\nBlue Blue Blue Blue Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown\nBlue Blue Blue Blue Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown\nBlue Blue Blue Blue Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown\nBlue Blue Blue Blue Brown Brown Brown Brown Gray Gray Gray Gray Brown Brown Brown Brown\nGray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Pink Pink Pink Pink\nGray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Pink Pink Pink Pink\nGray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Pink Pink Pink Pink\nGray Gray Gray Gray Pink Pink Pink Pink Gray Gray Gray Gray Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Purple Purple Purple Purple Gray Gray Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray Gray Purple Purple Purple Purple\nBlue Blue Blue Blue Purple Purple Purple Purple Gray Gray Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray Gray Purple Purple Purple Purple\nBlue Blue Blue Blue Purple Purple Purple Purple Gray Gray Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray Gray Purple Purple Purple Purple\nBlue Blue Blue Blue Purple Purple Purple Purple Gray Gray Gray Gray Yellow Yellow Yellow Yellow Gray Gray Gray Gray Purple Purple Purple Purple\nRed Red Red Red Pink Pink Pink Pink Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green\nRed Red Red Red Pink Pink Pink Pink Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green\nRed Red Red Red Pink Pink Pink Pink Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green\nRed Red Red Red Pink Pink Pink Pink Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green\nPink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Pink Pink Pink Pink Orange Orange Orange Orange Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Pink Pink Pink Pink Orange Orange Orange Orange Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Pink Pink Pink Pink Orange Orange Orange Orange Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Pink Pink Pink Pink Orange Orange Orange Orange Gray Gray Gray Gray\nGreen Green Green Green Purple Purple Purple Purple Gray Gray Gray Gray Pink Pink Pink Pink Green Green Green Green Gray Gray Gray Gray\nGreen Green Green Green Purple Purple Purple Purple Gray Gray Gray Gray Pink Pink Pink Pink Green Green Green Green Gray Gray Gray Gray\nGreen Green Green Green Purple Purple Purple Purple Gray Gray Gray Gray Pink Pink Pink Pink Green Green Green Green Gray Gray Gray Gray\nGreen Green Green Green Purple Purple Purple Purple Gray Gray Gray Gray Pink Pink Pink Pink Green Green Green Green Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Gray Gray Gray Gray Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Gray Gray Gray Gray Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Gray Gray Gray Gray Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Gray Gray Gray Gray Purple Purple Purple Purple\nGray Gray Gray Gray Green Green Green Green Pink Pink Pink Pink Blue Blue Blue Blue Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nGray Gray Gray Gray Green Green Green Green Pink Pink Pink Pink Blue Blue Blue Blue Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nGray Gray Gray Gray Green Green Green Green Pink Pink Pink Pink Blue Blue Blue Blue Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nGray Gray Gray Gray Green Green Green Green Pink Pink Pink Pink Blue Blue Blue Blue Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Pink Pink Pink Pink Gray Gray Gray Gray\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Pink Pink Pink Pink Gray Gray Gray Gray\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Pink Pink Pink Pink Gray Gray Gray Gray\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Pink Pink Pink Pink 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"
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"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nBlue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nBlue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nBlue Blue Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nRed Red Red Red Pink Pink Pink Pink Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green\nRed Red Red Red Pink Pink Pink Pink Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green\nRed Red Red Red Pink Pink Pink Pink Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green\nRed Red Red Red Pink Pink Pink Pink Red Red Red Red Purple Purple Purple Purple Purple Purple Purple Purple Green Green Green Green\nPink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Pink Pink Pink Pink Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Pink Pink Pink Pink Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Pink Pink Pink Pink Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Pink Pink Pink Pink Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nGreen Green Green Green Purple Purple Purple Purple Yellow Yellow Yellow Yellow Pink Pink Pink Pink Green Green Green Green Yellow Yellow Yellow Yellow\nGreen Green Green Green Purple Purple Purple Purple Yellow Yellow Yellow Yellow Pink Pink Pink Pink Green Green Green Green Yellow Yellow Yellow Yellow\nGreen Green Green Green Purple Purple Purple Purple Yellow Yellow Yellow Yellow Pink Pink Pink Pink Green Green Green Green Yellow Yellow Yellow Yellow\nGreen Green Green Green Purple Purple Purple Purple Yellow Yellow Yellow Yellow Pink Pink Pink Pink Green Green Green Green Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Yellow Yellow Yellow Yellow Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Green Green Green Green Pink Pink Pink Pink Blue Blue Blue Blue Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Green Green Green Green Pink Pink Pink Pink Blue Blue Blue Blue Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Green Green Green Green Pink Pink Pink Pink Blue Blue Blue Blue Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Green Green Green Green Pink Pink Pink Pink Blue Blue Blue Blue Yellow Yellow Yellow Yellow Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Pink Pink Pink Pink Yellow Yellow Yellow Yellow\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 Pink Pink Blue Blue Green Green Purple Purple Brown Brown Purple Purple Brown Brown\nYellow Yellow Pink Pink Blue Blue Green Green Purple Purple Brown Brown Purple Purple Brown Brown\nGray Gray Brown Brown Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Gray Gray\nGray Gray Brown Brown Blue Blue Purple Purple Purple Purple Yellow Yellow Yellow Yellow Gray Gray\nYellow Yellow Green Green Orange Orange Purple Purple Gray Gray Pink Pink Pink Pink Purple Purple\nYellow Yellow Green Green Orange Orange Purple Purple Gray Gray Pink Pink Pink Pink Purple Purple\nPurple Purple Yellow Yellow Gray Gray Brown Brown Purple Purple Brown Brown Orange Orange Yellow Yellow\nPurple Purple Yellow Yellow Gray Gray Brown Brown Purple Purple Brown Brown Orange Orange Yellow Yellow\nOrange Orange Green Green Orange Orange Blue Blue Purple Purple Green Green Green Green Green Green\nOrange Orange Green Green Orange Orange Blue Blue Purple Purple Green Green Green Green Green Green\nPink Pink Gray Gray Purple Purple Orange Orange Yellow Yellow Purple Purple Red Red Orange Orange\nPink Pink Gray Gray Purple Purple Orange Orange Yellow Yellow Purple Purple Red Red Orange Orange\nGreen Green Orange Orange Orange Orange Brown Brown Orange Orange Gray Gray Orange Orange Blue Blue\nGreen Green Orange Orange Orange Orange Brown Brown Orange Orange Gray Gray Orange Orange Blue Blue\nYellow Yellow Brown Brown Purple Purple Gray Gray Pink Pink Orange Orange Brown Brown Green Green\nYellow Yellow Brown Brown Purple Purple Gray Gray Pink Pink Orange Orange Brown Brown Green Green\n\nOutput:\nBrown Brown Pink Pink Blue Blue Green Green Purple Purple Brown Brown Purple Purple Brown Brown\nBrown Brown Pink Pink Blue Blue Green Green Purple Purple Brown Brown Purple Purple Brown Brown\nGray Gray Brown Brown Blue Blue Purple Purple Purple Purple Brown Brown Brown Brown Gray Gray\nGray Gray Brown Brown Blue Blue Purple Purple Purple Purple Brown Brown Brown Brown Gray Gray\nBrown Brown Green Green Orange Orange Purple Purple Gray Gray Pink Pink Pink Pink Purple Purple\nBrown Brown Green Green Orange Orange Purple Purple Gray Gray Pink Pink Pink Pink Purple Purple\nPurple Purple Brown Brown Gray Gray Brown Brown Purple Purple Brown Brown Orange Orange Brown Brown\nPurple Purple Brown Brown Gray Gray Brown Brown Purple Purple Brown Brown Orange Orange Brown Brown\nOrange Orange Green Green Orange Orange Blue Blue Purple Purple Green Green Green Green Green Green\nOrange Orange Green Green Orange Orange Blue Blue Purple Purple Green Green Green Green Green Green\nPink Pink Gray Gray Purple Purple Orange Orange Brown Brown Purple Purple Red Red Orange Orange\nPink Pink Gray Gray Purple Purple Orange Orange Brown Brown Purple Purple Red Red Orange Orange\nGreen Green Orange Orange Orange Orange Brown Brown Orange Orange Gray Gray Orange Orange Blue Blue\nGreen Green Orange Orange Orange Orange Brown Brown Orange Orange Gray Gray Orange Orange Blue Blue\nBrown Brown Brown Brown Purple Purple Gray Gray Pink Pink Orange Orange Brown Brown Green Green\nBrown Brown Brown Brown Purple Purple Gray Gray Pink Pink Orange Orange Brown Brown Green Green\n\n\nExample 2\nInput:\nRed Red Purple Purple Gray Gray Pink Pink Gray Gray Yellow Yellow Purple Purple\nRed Red Purple Purple Gray Gray Pink Pink Gray Gray Yellow Yellow Purple Purple\nOrange Orange Blue Blue Green Green Red Red Pink Pink Blue Blue Purple Purple\nOrange Orange Blue Blue Green Green Red Red Pink Pink Blue Blue Purple Purple\nYellow Yellow Orange Orange Yellow Yellow Blue Blue Purple Purple Purple Purple Pink Pink\nYellow Yellow Orange Orange Yellow Yellow Blue Blue Purple Purple Purple Purple Pink Pink\nBlue Blue Orange Orange Brown Brown Pink Pink Green Green Green Green Yellow Yellow\nBlue Blue Orange Orange Brown Brown Pink Pink Green Green Green Green Yellow Yellow\nBrown Brown Brown Brown Purple Purple Purple Purple Brown Brown Pink Pink Orange Orange\nBrown Brown Brown Brown Purple Purple Purple Purple Brown Brown Pink Pink Orange Orange\nRed Red Orange Orange Brown Brown Blue Blue Purple Purple Brown Brown Gray Gray\nRed Red Orange Orange Brown Brown Blue Blue Purple Purple Brown Brown Gray Gray\nPink Pink Blue Blue Red Red Green Green Pink Pink Blue Blue Gray Gray\nPink Pink Blue Blue Red Red Green Green Pink Pink Blue Blue Gray Gray\n\nOutput:\nRed Red Purple Purple Gray Gray Purple Purple Gray Gray Yellow Yellow Purple Purple\nRed Red Purple Purple Gray Gray Purple Purple Gray Gray Yellow Yellow Purple Purple\nOrange Orange Blue Blue Green Green Red Red Purple Purple Blue Blue Purple Purple\nOrange Orange Blue Blue Green Green Red Red Purple Purple Blue Blue Purple Purple\nYellow Yellow Orange Orange Yellow Yellow Blue Blue Purple Purple Purple Purple Purple Purple\nYellow Yellow Orange Orange Yellow Yellow Blue Blue Purple Purple Purple Purple Purple Purple\nBlue Blue Orange Orange Brown Brown Purple Purple Green Green Green Green Yellow Yellow\nBlue Blue Orange Orange Brown Brown Purple Purple Green Green Green Green Yellow Yellow\nBrown Brown Brown Brown Purple Purple Purple Purple Brown Brown Purple Purple Orange Orange\nBrown Brown Brown Brown Purple Purple Purple Purple Brown Brown Purple Purple Orange Orange\nRed Red Orange Orange Brown Brown Blue Blue Purple Purple Brown Brown Gray Gray\nRed Red Orange Orange Brown Brown Blue Blue Purple Purple Brown Brown Gray Gray\nPurple Purple Blue Blue Red Red Green Green Purple Purple Blue Blue Gray Gray\nPurple Purple Blue Blue Red Red Green Green Purple Purple Blue Blue Gray Gray\n\n\nExample 3\nInput:\nYellow Yellow Blue Blue Orange Orange Yellow Yellow Brown Brown Brown Brown Pink Pink Purple Purple Green Green\nYellow Yellow Blue Blue Orange Orange Yellow Yellow Brown Brown Brown Brown Pink Pink Purple Purple Green Green\nRed Red Brown Brown Green Green Blue Blue Green Green Yellow Yellow Green Green Blue Blue Yellow Yellow\nRed Red Brown Brown Green Green Blue Blue Green Green Yellow Yellow Green Green Blue Blue Yellow Yellow\nBlue Blue Gray Gray Green Green Gray Gray Blue Blue Blue Blue Purple Purple Orange Orange Purple Purple\nBlue Blue Gray Gray Green Green Gray Gray Blue Blue Blue Blue Purple Purple Orange Orange Purple Purple\nPurple Purple Orange Orange Gray Gray Pink Pink Purple Purple Brown Brown Yellow Yellow Brown Brown Pink Pink\nPurple Purple Orange Orange Gray Gray Pink Pink Purple Purple Brown Brown Yellow Yellow Brown Brown Pink Pink\nBlue Blue Blue Blue Brown Brown Green Green Orange Orange Gray Gray Red Red Yellow Yellow Pink Pink\nBlue Blue Blue Blue Brown Brown Green Green Orange Orange Gray Gray Red Red Yellow Yellow Pink Pink\nOrange Orange Gray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Orange Orange Green Green Purple Purple\nOrange Orange Gray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Orange Orange Green Green Purple Purple\nOrange Orange Yellow Yellow Yellow Yellow Red Red Green Green Blue Blue Orange Orange Purple Purple Pink Pink\nOrange Orange Yellow Yellow Yellow Yellow Red Red Green Green Blue Blue Orange Orange Purple Purple Pink Pink\n\nOutput:\nYellow Yellow Blue Blue Green Green Yellow Yellow Brown Brown Brown Brown Pink Pink Purple Purple Green Green\nYellow Yellow Blue Blue Green Green Yellow Yellow Brown Brown Brown Brown Pink Pink Purple Purple Green Green\nRed Red Brown Brown Green Green Blue Blue Green Green Yellow Yellow Green Green Blue Blue Yellow Yellow\nRed Red Brown Brown Green Green Blue Blue Green Green Yellow Yellow Green Green Blue Blue Yellow Yellow\nBlue Blue Gray Gray Green Green Gray Gray Blue Blue Blue Blue Purple Purple Green Green Purple Purple\nBlue Blue Gray Gray Green Green Gray Gray Blue Blue Blue Blue Purple Purple Green Green Purple Purple\nPurple Purple Green Green Gray Gray Pink Pink Purple Purple Brown Brown Yellow Yellow Brown Brown Pink Pink\nPurple Purple Green Green Gray Gray Pink Pink Purple Purple Brown Brown Yellow Yellow Brown Brown Pink Pink\nBlue Blue Blue Blue Brown Brown Green Green Green Green Gray Gray Red Red Yellow Yellow Pink Pink\nBlue Blue Blue Blue Brown Brown Green Green Green Green Gray Gray Red Red Yellow Yellow Pink Pink\nGreen Green Gray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Green Green Green Green Purple Purple\nGreen Green Gray Gray Pink Pink Blue Blue Purple Purple Yellow Yellow Green Green Green Green Purple Purple\nGreen Green Yellow Yellow Yellow Yellow Red Red Green Green Blue Blue Green Green Purple Purple Pink Pink\nGreen Green Yellow Yellow Yellow Yellow Red Red Green Green Blue Blue Green Green Purple Purple Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nGray Gray Purple Purple Orange Orange Green Green Purple Purple Green Green Pink Pink Red Red Blue Blue\nGray Gray Purple Purple Orange Orange Green Green Purple Purple Green Green Pink Pink Red Red Blue Blue\nGray Gray Gray Gray Red Red Purple Purple Blue Blue Red Red Yellow Yellow Orange Orange Blue Blue\nGray Gray Gray Gray Red Red Purple Purple Blue Blue Red Red Yellow Yellow Orange Orange Blue Blue\nPurple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow\nPurple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow\nBrown Brown Orange Orange Purple Purple Purple Purple Yellow Yellow Blue Blue Green Green Red Red Purple Purple\nBrown Brown Orange Orange Purple Purple Purple Purple Yellow Yellow Blue Blue Green Green Red Red Purple Purple\nYellow Yellow Purple Purple Green Green Gray Gray Orange Orange Red Red Pink Pink Green Green Green Green\nYellow Yellow Purple Purple Green Green Gray Gray Orange Orange Red Red Pink Pink Green Green Green Green\nBlue Blue Red Red Pink Pink Brown Brown Red Red Purple Purple Orange Orange Blue Blue Orange Orange\nBlue Blue Red Red Pink Pink Brown Brown Red Red Purple Purple Orange Orange Blue Blue Orange Orange\nPink Pink Purple Purple Brown Brown Yellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink Gray Gray\nPink Pink Purple Purple Brown Brown Yellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink Gray Gray\nGray Gray Pink Pink Gray Gray Pink Pink Brown Brown Brown Brown Orange Orange Pink Pink Pink Pink\nGray Gray Pink Pink Gray Gray Pink Pink Brown Brown Brown Brown Orange Orange Pink Pink Pink Pink\nGray Gray Gray Gray Green Green Pink Pink Brown Brown Gray Gray Brown Brown Blue Blue Pink Pink\nGray Gray Gray Gray Green Green Pink Pink Brown Brown Gray Gray Brown Brown Blue Blue 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"
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"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Purple Purple Orange Orange Green Green Purple Purple Green Green Pink Pink Red Red Blue Blue\nBlue Blue Purple Purple Orange Orange Green Green Purple Purple Green Green Pink Pink Red Red Blue Blue\nBlue Blue Blue Blue Red Red Purple Purple Blue Blue Red Red Yellow Yellow Orange Orange Blue Blue\nBlue Blue Blue Blue Red Red Purple Purple Blue Blue Red Red Yellow Yellow Orange Orange Blue Blue\nPurple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow\nPurple Purple Brown Brown Orange Orange Brown Brown Yellow Yellow Blue Blue Pink Pink Blue Blue Yellow Yellow\nBrown Brown Orange Orange Purple Purple Purple Purple Yellow Yellow Blue Blue Green Green Red Red Purple Purple\nBrown Brown Orange Orange Purple Purple Purple Purple Yellow Yellow Blue Blue Green Green Red Red Purple Purple\nYellow Yellow Purple Purple Green Green Blue Blue Orange Orange Red Red Pink Pink Green Green Green Green\nYellow Yellow Purple Purple Green Green Blue Blue Orange Orange Red Red Pink Pink Green Green Green Green\nBlue Blue Red Red Pink Pink Brown Brown Red Red Purple Purple Orange Orange Blue Blue Orange Orange\nBlue Blue Red Red Pink Pink Brown Brown Red Red Purple Purple Orange Orange Blue Blue Orange Orange\nPink Pink Purple Purple Brown Brown Yellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink Blue Blue\nPink Pink Purple Purple Brown Brown Yellow Yellow Blue Blue Orange Orange Orange Orange Pink Pink Blue Blue\nBlue Blue Pink Pink Blue Blue Pink Pink Brown Brown Brown Brown Orange Orange Pink Pink Pink Pink\nBlue Blue Pink Pink Blue Blue Pink Pink Brown Brown Brown Brown Orange Orange Pink Pink Pink Pink\nBlue Blue Blue Blue Green Green Pink Pink Brown Brown Blue Blue Brown Brown Blue Blue Pink Pink\nBlue Blue Blue Blue Green Green Pink Pink Brown Brown Blue Blue Brown Brown Blue Blue 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:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Yellow Black Blue\nBlue Black Black Black Black Black Black Yellow Black Black Black Yellow Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Yellow Yellow Black Black Black Black Black Blue\nBlue Black Black Yellow Black Black Black Black Black Black Black Black Blue\nBlue Black Black Yellow Black Black Black Yellow Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Yellow Black Black Black Black Yellow Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Yellow Green Blue\nBlue Green Green Green Green Green Green Yellow Green Green Green Yellow Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Yellow Yellow Green Green Green Green Green Blue\nBlue Green Green Yellow Green Green Green Green Green Green Green Green Blue\nBlue Green Green Yellow Green Green Green Yellow Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Yellow Green Green Green Green Yellow Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Black Black Yellow Black Yellow Black Black Black Black Blue\nBlue Black Black Black Black Yellow Black Black Black Black Black Blue\nBlue Black Yellow Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Yellow Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Yellow Black Yellow Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Red Red Yellow Black Yellow Red Red Red Red Blue\nBlue Red Red Red Red Yellow Red Red Red Red Red Blue\nBlue Red Yellow Red Red Red Red Red Red Red Red Blue\nBlue Red Red Red Red Red Red Red Red Red Red Blue\nBlue Red Red Red Red Red Red Red Red Red Red Blue\nBlue Red Red Red Red Red Red Red Red Red Red Blue\nBlue Red Red Red Red Red Red Red Red Red Red Blue\nBlue Yellow Red Red Red Red Red Red Red Red Red Blue\nBlue Red Red Red Red Red Red Red Red Red Red Blue\nBlue Red Red Red Red Red Red Yellow Red Yellow Red Blue\nBlue Red Red Red Red Red Red Red Red Red Red Blue\nBlue Red Red Red Red Red Red Red Red Red Red Blue\nBlue Red Red Red Red Red Red Red Red Red Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 3\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Black Yellow Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Yellow Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Yellow Black Black Black Black Black Blue\nBlue Black Black Black Black Black Yellow Black Black Black Black Blue\nBlue Black Black Black Black Black Black Yellow Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Yellow Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Yellow Blue\nBlue Yellow Yellow Black Black Black Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Red Yellow Red Red Red Red Red Red Red Blue\nBlue Red Red Red Red Red Red Red Red Red Red Blue\nBlue Red Red Red Red Red Red Red Red Red Red Blue\nBlue Red Red Red Yellow Red Red Red Red Red Red Blue\nBlue Red Red Red Red Red Red Red Red Red Red Blue\nBlue Red Red Red Red Yellow Red Red Red Red Red Blue\nBlue Red Red Red Red Red Yellow Red Red Red Red Blue\nBlue Red Red Red Red Red Red Yellow Red Red Red Blue\nBlue Red Red Red Red Red Red Red Red Red Red Blue\nBlue Red Red Red Red Red Red Red Red Red Yellow Blue\nBlue Red Red Red Red Red Red Red Red Red Red Blue\nBlue Red Red Red Red Red Red Red Red Red Red Blue\nBlue Red Red Red Red Red Red Red Red Red Yellow Blue\nBlue Yellow Yellow Red Red Red Red Red Red Red Red Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Black Black Black Black Black Black Black Black Yellow Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Yellow Black Black Yellow Yellow Black Black Blue\nBlue Black Black Yellow Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Yellow Blue\nBlue Black Black Black Black Black Black Black Black Black Black Black Black Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Green Green Green Green Green Green Green Green Yellow Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Yellow Green Green Yellow Yellow Green Green Blue\nBlue Green Green Yellow Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Yellow Blue\nBlue Green Green Green Green Green Green Green Green Green Green Green Green Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Yellow Black Black Yellow Black Black Black\nBlack Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black\nBlack Black Black Black Yellow Black Black Yellow Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Yellow Black 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 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 Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black 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 Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Black Black Pink Black Black Pink Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Pink Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Pink Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Pink Black Black Pink Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown 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\nBlack Black Black Black Black Black Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Brown Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Brown Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Brown Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Brown Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Black Black Orange Black Black Orange Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Orange Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Orange Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Orange Black Black Orange Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Brown Pink Pink Orange\nGreen Green Blue Blue Gray\nRed Orange Blue Blue Blue\nBrown Blue Blue Gray Blue\n\nOutput:\nBrown Brown Pink Pink Orange\nGreen Green Blue Blue Gray\nRed Orange Blue Blue Blue\nBrown Blue Blue Gray Blue\nBrown Blue Blue Gray Blue\nRed Orange Blue Blue Blue\nGreen Green Blue Blue Gray\nBrown Brown Pink Pink Orange\n\n\nExample 2\nInput:\nOrange Orange Red Red\nOrange Orange Orange Orange\nOrange Blue Orange Green\nBlue Pink Purple Green\nBlue Yellow Yellow Orange\n\nOutput:\nOrange Orange Red Red\nOrange Orange Orange Orange\nOrange Blue Orange Green\nBlue Pink Purple Green\nBlue Yellow Yellow Orange\nBlue Yellow Yellow Orange\nBlue Pink Purple Green\nOrange Blue Orange Green\nOrange Orange Orange Orange\nOrange Orange Red Red\n\n\nExample 3\nInput:\nOrange Brown Purple Orange Orange\nPurple Brown Brown Orange Blue\nRed Red Red Gray Blue\nGray Blue Red Gray Gray\nPink Gray Yellow Brown Gray\n\nOutput:\nOrange Brown Purple Orange Orange\nPurple Brown Brown Orange Blue\nRed Red Red Gray Blue\nGray Blue Red Gray Gray\nPink Gray Yellow Brown Gray\nPink Gray Yellow Brown Gray\nGray Blue Red Gray Gray\nRed Red Red Gray Blue\nPurple Brown Brown Orange Blue\nOrange Brown Purple Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Green\nOrange Orange Purple\nOrange Green Yellow\nOrange Orange Yellow\nGray Blue Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Green\nOrange Orange Purple\nOrange Green Yellow\nOrange Orange Yellow\nGray Blue Yellow\nGray Blue Yellow\nOrange Orange Yellow\nOrange Green Yellow\nOrange Orange Purple\nRed Red Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Yellow Black Black Black Yellow Black Black\nBlack Yellow Black Yellow Black Black Yellow Black Yellow Black Yellow Yellow Black\nBlack Yellow Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Yellow Yellow Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Yellow Black Black Yellow\nBlack Black Black Yellow 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 Yellow Black Black Black Yellow Black Black Black Yellow Black Black\nBlack Yellow Black Yellow Black Black Yellow Black Yellow Black Yellow Yellow Black\nBlack Yellow Black Black Black Black Black Black Yellow Black Blue Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Blue Black Yellow\nBlack Yellow Yellow Black Yellow Black Black Black Black Black Blue Black Black\nBlack Black Black Black Yellow Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Blue Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black\nYellow Black Black Black Black Black Black Black Black Black Blue Black Black\nBlack Yellow Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Yellow Black Black Yellow\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Yellow Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Yellow Black Yellow Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Black Black Yellow\nBlue Black Black Yellow Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Yellow Black Black Black Yellow Black Yellow Black Yellow\nBlack Black Black Black Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\n\nOutput:\nBlue Black Black Yellow Black Black Black Black Black Yellow Black Black\nBlue Black Black Black Black Yellow Black Yellow Black Black Black Black\nBlue Black Yellow Black Black Black Black Black Black Black Black Yellow\nBlue Black Black Yellow Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Yellow Black Black Black Yellow Black Yellow Black Yellow\nBlack Black Black Black Black Black Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Black Yellow\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Yellow Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Yellow Black Black Black Yellow Black Yellow Black Yellow Black\nBlack Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Yellow Black Black Yellow Black Black Yellow\nYellow 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 Yellow Black\n\nOutput:\nBlack Black Black Blue Black Black Black Black Black Black Yellow Black Black Yellow\nBlack Black Black Blue Black Black Yellow Yellow Black Black Black Black Black Yellow\nBlack Black Black Blue Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Yellow Blue Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Yellow Black Blue Black Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Black Blue Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow\nBlack Black Black Blue Yellow Black Black Black Yellow Black Yellow Black Yellow Black\nBlack Black Black Blue Black Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black Black Black Black Yellow\nYellow Black Black Black Black Black Black Yellow Black Black Yellow Black Black Yellow\nYellow 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 Yellow Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Yellow Black Yellow Yellow Black Black Yellow Black Yellow\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Black Yellow Black Black Black Black Black Yellow 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 Yellow Yellow Black Yellow\nYellow Black Black Black Black Black Black Black Yellow Black Black Black Yellow Yellow\nBlack Yellow Black Black Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow\nYellow Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Yellow\nYellow Black Yellow Black Black Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Yellow Yellow Black Yellow Black Yellow Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Yellow Black Yellow Yellow Black Black Yellow Black Yellow\nBlack Black Black Yellow Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Yellow Yellow Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Yellow Black Yellow Black Black Black Black Black Yellow 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 Yellow Yellow Black Yellow\nYellow Black Black Black Black Black Black Black Yellow Black Black Black Yellow Yellow\nBlack Yellow Black Black Yellow Yellow Yellow Black Black Black Black Black Yellow Yellow\nYellow Black Yellow Yellow Yellow Blue Black Black Black Black Black Black Black Yellow\nYellow Black Yellow Black Black Blue Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Yellow Yellow Black Yellow Black Yellow Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBrown Black Brown Brown\nBrown Purple Purple Black\nBlack Purple Purple Brown\nBrown Brown Black Brown\n\nOutput:\nPink Red Pink Pink\nPink Brown Brown Red\nRed Brown Brown Pink\nPink Pink Red Pink\n\n\nExample 2\nInput:\nBlack Green Black Green Black\nGreen Green Black Green Green\nGreen Green Green Green Green\nPink Pink Purple Pink Pink\nBlack Pink Pink Pink Black\n\nOutput:\nRed Blue Red Blue Red\nBlue Blue Red Blue Blue\nBlue Blue Blue Blue Blue\nGray Gray Brown Gray Gray\nRed Gray Gray Gray Red\n\n\nExample 3\nInput:\nBlack Orange Pink Pink Pink\nBlue Orange Black Brown Pink\nBlack Yellow Black Red Red\nBlack Black Green Red Red\nBlack Black Black Red Black\n\nOutput:\nRed Black Gray Gray Gray\nYellow Black Red Pink Gray\nRed Purple Red Green Green\nRed Red Blue Green Green\nRed Red Red Green Red\n\n\nHere is the input grid for the test example:\nInput:\nGreen Orange Brown\nBlack Green Green\nGreen Orange Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlue Black Pink\nRed Blue Blue\nBlue 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:\nOrange Black Orange Orange Orange Orange Black Orange Orange Black Black Orange Orange Orange Black Orange Black Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Black Orange Orange Orange\nOrange Orange Black Black Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Black Orange Orange Black Orange Black Orange Orange Orange Black Orange Orange Orange Black Orange Black Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Black Black Orange Orange Orange Black Black\nOrange Black Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Blue Blue Black Black Black Black Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Blue Blue Orange Orange Black Black Black Orange Orange\nBlack Black Black Orange Black Orange Orange Orange Black Black Black Orange Orange Orange Black Orange Black Orange Orange Black\nOrange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Black Orange Orange Orange Black Orange Black Orange Orange Orange Black Black Orange Orange Orange\nBlack Black Blue Blue Orange Orange Black Black Black Black Orange Black Orange Black Orange Orange Orange Orange Orange Orange\nBlack Black Blue Blue Black Black Orange Black Orange Orange Black Orange Black Orange Black Black Black Orange Orange Orange\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange\nBlack Orange Black Orange Orange Orange Black Orange Black Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange\nOrange Black Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Black Orange Black\nBlue Blue Orange Black Black Orange Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Orange Black Orange\nBlue Blue Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Black Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Black Orange\nOrange Black Orange Black Black Black Orange Orange Black Black Orange Black Orange Orange Black Orange Black Orange Black Orange\n\nOutput:\nOrange Black Orange Orange Orange Orange Black Orange Orange Black Black Orange Orange Orange Black Orange Black Orange Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Black Orange Orange Orange\nOrange Orange Black Black Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Black Orange Orange Black Orange Black Orange Orange Orange Black Orange Orange Orange Black Orange Black Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Black Black Orange Orange Orange Black Black\nOrange Black Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Orange\nBlack Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Yellow Yellow Black Black Black Black Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Yellow Yellow Orange Orange Black Black Black Orange Orange\nBlack Black Black Orange Black Orange Orange Orange Black Black Black Orange Orange Orange Black Orange Black Orange Orange Black\nOrange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Black Orange Orange Orange Black Orange Black Orange Orange Orange Black Black Orange Orange Orange\nBlack Black Yellow Yellow Orange Orange Black Black Black Black Orange Black Orange Black Orange Orange Orange Orange Orange Orange\nBlack Black Yellow Yellow Black Black Orange Black Orange Orange Black Orange Black Orange Black Black Black Orange Orange Orange\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange\nBlack Orange Black Orange Orange Orange Black Orange Black Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange\nOrange Black Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Black Orange Black\nYellow Yellow Orange Black Black Orange Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Orange Black Orange\nYellow Yellow Black Black Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Black Orange Orange Black\nBlack Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Orange Black Orange\nOrange Black Orange Black Black Black Orange Orange Black Black Orange Black Orange Orange Black Orange Black Orange Black Orange\n\n\nExample 2\nInput:\nGreen Green Green Black Green Black Green Green Black Black Black Green Green Green Green Black Green Black Green Black\nGreen Black Green Green Green Black Green Green Green Green Black Green Green Green Green Green Green Green Black Green\nBlack Green Black Green Green Green Black Green Green Green Green Green Black Green Green Green Black Green Green Black\nBlack Green Green Green Green Green Black Green Black Black Black Black Black Black Black Black Black Green Black Green\nGreen Green Green Black Black Black Green Green Black Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Black Green Black Green Black Green Green Green Black Green Green Green Green Green Green Green Green Green\nGreen Black Black Green Green Black Green Black Black Black Green Green Green Green Black Green Green Green Green Green\nGreen Green Green Black Green Green Black Green Green Black Green Green Green Green Green Black Black Green Green Green\nBlack Green Black Green Green Green Green Green Green Green Green Green Black Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Green\nBlack Green Green Green Green Green Black Black Black Black Green Black Green Black Green Black Black Green Green Black\nGreen Green Green Black Green Black Green Green Green Black Green Black Green Black Green Green Black Black Green Green\nGreen Green Green Green Black Black Black Green Black Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Black Green Green Green Black Green Green Green Green Green Green Green Green Green Black Green Black Black\nGreen Green Black Green Black Green Green Black Black Green Black Black Green Green Black Green Black Green Green Black\nGreen Black Green Green Green Green Black Green Black Black Green Green Green Blue Blue Green Green Black Green Black\nGreen Green Green Green Black Green Green Green Green Green Green Green Green Blue Blue Black Green Black Black Black\nGreen Green Green Green Black Green Green Green Green Green Black Green Green Green Green Black Green Green Black Green\n\nOutput:\nGreen Green Green Black Green Black Green Green Black Black Black Green Green Green Green Black Green Black Green Black\nGreen Black Green Green Green Black Green Green Green Green Black Green Green Green Green Green Green Green Black Green\nBlack Green Black Green Green Green Black Green Green Green Green Green Black Green Green Green Black Green Green Black\nBlack Green Green Green Green Green Black Green Black Black Black Black Black Black Black Black Black Green Black Green\nGreen Green Green Black Black Black Green Green Black Green Green Green Green Green Green Green Green Black Black Black\nGreen Green Black Green Black Green Black Green Green Green Black Green Green Green Green Green Green Green Green Green\nGreen Black Black Green Green Black Green Black Black Black Green Green Green Green Black Green Green Green Green Green\nGreen Green Green Black Green Green Black Green Green Black Green Green Green Green Green Black Black Green Green Green\nBlack Green Black Green Green Green Green Green Green Green Green Green Black Green Green Green Green Green Black Black\nBlack Green Green Green Green Green Green Green Green Black Black Black Green Green Green Green Green Green Black Black\nGreen Green Green Black Black Black Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Black Black Black Green\nBlack Green Green Green Green Green Black Black Black Black Green Black Green Black Green Black Black Green Green Black\nGreen Green Green Black Green Black Green Green Green Black Green Black Green Black Green Green Black Black Green Green\nGreen Green Green Green Black Black Black Green Black Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Black Green Green Green Black Green Green Green Green Green Green Green Green Green Black Green Black Black\nGreen Green Black Green Black Green Green Black Black Green Black Black Green Green Black Green Black Green Green Black\nGreen Black Green Green Green Green Black Green Black Black Green Green Green Yellow Yellow Green Green Black Green Black\nGreen Green Green Green Black Green Green Green Green Green Green Green Green Yellow Yellow Black Green Black Black Black\nGreen Green Green Green Black Green Green Green Green Green Black Green Green Green Green Black Green Green Black Green\n\n\nExample 3\nInput:\nBlack Black Black Black Green Green Black Green Green Black Green Black Green Black Black Black Black Green Green Green\nBlack Green Green Green Black Green Green Green Black Green Green Green Black Green Green Green Green Green Green Green\nBlack Black Black Green Green Black Green Black Black Green Green Green Green Black Green Black Black Green Green Green\nGreen Black Green Green Green Green Black Green Green Green Green Green Green Black Black Green Black Green Green Green\nGreen Black Green Green Green Green Black Green Green Green Black Black Green Black Black Green Black Green Black Green\nBlack Green Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Black Green\nGreen Green Green Green Green Black Green Black Black Green Green Green Green Green Green Green Black Green Black Green\nGreen Green Black Black Green Green Green Green Green Black Green Green Black Green Green Black Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Green Green Black Green Black Green Green Green Green Green Green\nBlack Green Green Black Green Black Green Green Black Green Green Black Black Green Green Green Black Black Green Black\nGreen Green Green Green Green Black Black Green Blue Blue Black Black Black Green Green Green Green Green Green Green\nBlack Black Green Black Green Green Black Black Blue Blue Green Black Green Green Green Green Green Black Green Black\nGreen Green Black Green Green Green Black Green Black Black Black Green Green Green Green Green Black Black Green Green\nBlack Black Green Green Green Green Green Green Green Black Green Green Black Black Green Green Green Green Black Green\nGreen Green Black Green Green Green Green Green Black Green Green Blue Blue Black Green Black Green Green Green Green\nGreen Green Black Green Green Green Green Black Black Green Green Blue Blue Green Green Green Green Green Green Green\nGreen Green Green Black Black Green Green Green Black Green Green Black Green Black Green Green Green Green Green Green\nGreen Green Green Green Black Black Green Green Black Green Green Black Green Green Green Green Green Black Black Green\nBlack Green Black Green Green Black Green Green Green Black Black Blue Blue Black Green Black Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green Black Blue Blue Green Green Black Green Green Green Green\n\nOutput:\nBlack Black Black Black Green Green Black Green Green Black Green Black Green Black Black Black Black Green Green Green\nBlack Green Green Green Black Green Green Green Black Green Green Green Black Green Green Green Green Green Green Green\nBlack Black Black Green Green Black Green Black Black Green Green Green Green Black Green Black Black Green Green Green\nGreen Black Green Green Green Green Black Green Green Green Green Green Green Black Black Green Black Green Green Green\nGreen Black Green Green Green Green Black Green Green Green Black Black Green Black Black Green Black Green Black Green\nBlack Green Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Black Green\nGreen Green Green Green Green Black Green Black Black Green Green Green Green Green Green Green Black Green Black Green\nGreen Green Black Black Green Green Green Green Green Black Green Green Black Green Green Black Green Green Green Green\nGreen Green Green Green Green Green Green Green Black Green Green Black Green Black Green Green Green Green Green Green\nBlack Green Green Black Green Black Green Green Black Green Green Black Black Green Green Green Black Black Green Black\nGreen Green Green Green Green Black Black Green Yellow Yellow Black Black Black Green Green Green Green Green Green Green\nBlack Black Green Black Green Green Black Black Yellow Yellow Green Black Green Green Green Green Green Black Green Black\nGreen Green Black Green Green Green Black Green Black Black Black Green Green Green Green Green Black Black Green Green\nBlack Black Green Green Green Green Green Green Green Black Green Green Black Black Green Green Green Green Black Green\nGreen Green Black Green Green Green Green Green Black Green Green Yellow Yellow Black Green Black Green Green Green Green\nGreen Green Black Green Green Green Green Black Black Green Green Yellow Yellow Green Green Green Green Green Green Green\nGreen Green Green Black Black Green Green Green Black Green Green Black Green Black Green Green Green Green Green Green\nGreen Green Green Green Black Black Green Green Black Green Green Black Green Green Green Green Green Black Black Green\nBlack Green Black Green Green Black Green Green Green Black Black Yellow Yellow Black Green Black Green Green Green Green\nBlack Green Green Green Green Green Green Green Green Green Black Yellow Yellow Green Green Black Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nPink Black Pink Pink Pink Black Pink Pink Black Pink Pink Pink Pink Black Pink Black Black Black Pink Black\nPink Black Pink Pink Black Pink Black Pink Pink Pink Pink Black Pink Pink Pink Pink Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Black Pink Black Pink Pink Pink\nPink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Black\nBlue Blue Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Pink Black Pink Pink Pink Black\nBlue Blue Black Pink Pink Pink Black Pink Pink Pink Pink Black Pink Blue Blue Black Black Pink Black Pink\nPink Black Pink Black Pink Pink Pink Black Pink Pink Black Black Pink Blue Blue Pink Black Pink Pink Pink\nPink Pink Pink Pink Black Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Black Black Pink Black Pink Pink Pink Pink Black Pink Pink Pink Black Pink\nPink Pink Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Black Pink Black Black Pink\nPink Black Black Pink Black Black Pink Black Black Pink Pink Pink Pink Black Pink Black Pink Black Pink Pink\nPink Pink Pink Pink Black Pink Pink Black Pink Black Black Black Pink Pink Black Pink Black Pink Pink Black\nPink Pink Black Pink Black Pink Pink Black Pink Pink Black Pink Pink Black Pink Pink Black Black Pink Pink\nPink Pink Black Pink Pink Pink Pink Pink Black Pink Pink Black Pink Pink Black Pink Black Black Pink Pink\nPink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink Pink Pink Black Pink\nBlack Black Black Black Pink Pink Black Black Black Pink Pink Pink Black Pink Pink Black Pink Pink Pink Black\nPink Pink Black Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Black Pink\nBlack Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Black Pink Pink Pink Pink Black Pink\nBlack Pink Pink Black Pink Pink Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Black Pink Pink Pink Black Pink Pink Black Pink Pink Pink Pink Black Pink Black Black Black Pink Black\nPink Black Pink Pink Black Pink Black Pink Pink Pink Pink Black Pink Pink Pink Pink Black Black Pink Pink\nPink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Black Pink Black Pink Pink Pink\nPink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Black\nYellow Yellow Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Pink Black Pink Pink Pink Black\nYellow Yellow Black Pink Pink Pink Black Pink Pink Pink Pink Black Pink Yellow Yellow Black Black Pink Black Pink\nPink Black Pink Black Pink Pink Pink Black Pink Pink Black Black Pink Yellow Yellow Pink Black Pink Pink Pink\nPink Pink Pink Pink Black Pink Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Black Black Pink Black Pink Pink Pink Pink Black Pink Pink Pink Black Pink\nPink Pink Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Black Pink Black Black Pink\nPink Black Black Pink Black Black Pink Black Black Pink Pink Pink Pink Black Pink Black Pink Black Pink Pink\nPink Pink Pink Pink Black Pink Pink Black Pink Black Black Black Pink Pink Black Pink Black Pink Pink Black\nPink Pink Black Pink Black Pink Pink Black Pink Pink Black Pink Pink Black Pink Pink Black Black Pink Pink\nPink Pink Black Pink Pink Pink Pink Pink Black Pink Pink Black Pink Pink Black Pink Black Black Pink Pink\nPink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink Pink Pink Black Pink\nBlack Black Black Black Pink Pink Black Black Black Pink Pink Pink Black Pink Pink Black Pink Pink Pink Black\nPink Pink Black Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Black Pink\nBlack Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Black Pink Pink Pink Pink Black Pink\nBlack Pink Pink Black Pink Pink Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Black Brown Brown Brown Brown Black Black Black\nBlack Brown Brown Brown Brown Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Purple Purple Black\nBlack Black Black Pink Pink Pink Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Orange Orange Orange Orange Orange Black Purple Purple 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\n\nOutput:\nBlack Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Blue Blue Black\nBlack Black Black Blue Blue Blue Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black Black Black Black\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 Pink Pink Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black\nPurple Purple Purple Purple Black Black Pink Pink Pink Pink Black Black\nPurple Purple Purple Purple Black Black Pink Pink Pink Pink Black Black\nPurple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Black\nBlack Black Black Black Black Black Black Black Black Green Green Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\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 Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Pink Pink Black Yellow Yellow\nBlack Yellow Yellow Yellow Yellow Yellow Black Pink Pink Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Purple Purple Purple Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Purple Purple Purple Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Purple Purple Purple Black Black\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 Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Black Blue Blue\nBlack Blue Blue Blue Blue Blue Black Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Blue Blue Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red 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 Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Black Black\nBlack 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\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue 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 Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Blue Blue Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Red Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Red Red Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Black Black Red Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Red Red Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Red Red 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 Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black\nBlack Red Red Red Black Black\nBlack Black Black Red Black Black\nBlack Black Black Red Black Black\nBlack Black Black Red Black Black\nBlack Black Black Red Red Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Red Red Red Black Black\nBlack Black Black Red Black Black\nBlack Black Black Red Black Black\nBlack Black Black Red Black Black\nBlack Black Black Red Red Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Red Red Red Black Black\nBlack Black Black Red Black Black\nBlack Black Black Red Black Black\nBlack Black Black Red Black Black\nBlack Black Black Red Red Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Red Red Red Black Black\nBlack Black Black Red Black Black\nBlack Black Black Red Black Black\nBlack Black Black Red Black Black\nBlack Black Black Red Red Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Black Brown Brown Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Black Brown Brown Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Black Brown Brown Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Brown Brown Brown Black\nBlack Brown Brown Black Brown Brown Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Red Red Black Black Black Black\nBlack Red Red Black Black Black Black\nBlack Red Red Black Red Red Black\nBlack Black Red Black Red Red Black\nBlack Black Red Red Red Red Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Red Red Black Black Black Black\nBlack Red Red Black Black Black Black\nBlack Red Red Black Red Red Black\nBlack Black Red Black Red Red Black\nBlack Black Red Red Red Red Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Red Red Black Black Black Black\nBlack Red Red Black Black Black Black\nBlack Red Red Black Red Red Black\nBlack Black Red Black Red Red Black\nBlack Black Red Red Red Red Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Red Red Black Black Black Black\nBlack Red Red Black Black Black Black\nBlack Red Red Black Red Red Black\nBlack Black Red Black Red Red Black\nBlack Black Red Red Red Red Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black\nBlack Green Black Green Black\nBlack Green Black Green Black\nBlack Green Green Green Black\nBlack Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black\nBlack Green Black Green Black\nBlack Green Black Green Black\nBlack Green Green Green Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Green Black Green Black\nBlack Green Black Green Black\nBlack Green Green Green Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Green Black Green Black\nBlack Green Black Green Black\nBlack 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack 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 Orange Black Black Black\nBlack 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 Orange Black Black Black\nBlack 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 Orange Black Black Black\nBlack 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 Orange Black Black Black\nBlack 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 Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange 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 Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black\nBlack 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 Orange Black Black Black\nBlack 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 Orange Black Black Black\nBlack 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 Orange Black Black Black\nBlack 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 Orange Black Black Black\nBlack 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 Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Black 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 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink 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 Black Pink Pink 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 Black Pink Pink 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 Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink 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 Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black 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 Black 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 Black Black Black Black Black Black Black 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 Black 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 Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black 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 Black 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 Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Yellow Yellow Yellow 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 Black 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 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by 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 Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue 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 Blue Blue Blue Blue\nBlack Black 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 Blue Blue Blue Blue\nBlack Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink 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 Yellow Yellow Yellow Yellow\nBlack 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 Yellow Yellow Yellow Yellow\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black 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 Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow 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\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nGreen Green Green Green Green Green Green Green Green Green\nBlack Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black\nBlue 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 Purple Purple Purple Black\nBlack Purple Purple Purple Black\nBlack Purple Purple Purple Black\nBlack Black Black Black Black\n\nOutput:\nBlack Black Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow\nBlack Black Black Black Black\nBlack Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Purple Purple Purple Black\nBlack Black Purple Purple Purple Black\nBlack Black Purple Purple Purple Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Yellow\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black\nBlack Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Black\nBlack Purple Purple Purple Purple Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black\nBlack Purple Purple Black\nBlack Purple Purple 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 Black Yellow Yellow\nBlack Black Yellow Yellow\nBlack Black Black Black\nBlack Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Purple Purple Purple Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBrown Brown Brown Brown Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Brown\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBrown Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Red Red Red Red\nBlack Black Black Blue Blue Blue Black Black Black Black Black Red Red Red Red\nBlack Black Black Blue Blue Blue Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Blue Blue Black Black Orange Orange Orange Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Orange Orange Orange Black Blue Blue Blue Blue Blue Black\nBlack 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\n\nOutput:\nBlue Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Red\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Blue\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 Green Green Green Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Green Green Green Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nRed\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Gray Gray Gray Black Gray Gray Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Gray Gray Black Brown Brown Brown Black Black Black\nBlack Black Black Black Black Gray Gray Black Brown Brown Brown Black Black Black\nBlack 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\n\n\nDirectly provide the output grids corresponding to the given test input 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\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Black\nBlack Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black\nBlack Red Black Brown Black Black Black Black\nBlack Red Black Brown Black Black Black Black\nBlack Black Black Brown Black Yellow Yellow Yellow\nBlack Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Gray Gray Yellow Yellow Yellow\nBlue Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue\nBlue Red Blue Blue Blue Blue Blue Blue\nBlue Red Blue Brown Blue Blue Blue Blue\nBlue Red Blue Brown Blue Blue Blue Blue\nBlue Blue Blue Brown Blue Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Yellow Yellow Yellow\nBlue Blue Blue Gray Gray Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nBlack Black Black Black Orange Orange Orange\nBlack Black Black Black Orange Orange Orange\nBlack Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple\nBlack Black Black Black Black Black Black\nPurple Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Orange Orange Orange\nPurple Purple Purple Purple Orange Orange Orange\nPurple Purple Purple Purple Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple\n\n\nExample 3\nInput:\nBlack Black Purple Purple Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Orange Purple Purple Purple Purple Purple Purple Purple\nPurple Orange Purple Purple Purple Purple Purple Purple Purple\nPurple Blue Blue Blue Purple Purple Purple Purple Purple\nPurple Blue Blue Blue Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black\nPurple Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPurple Purple Purple Yellow Purple Purple Purple Purple Purple\nPurple Purple Purple Yellow Purple Purple Purple Purple Purple\nPurple Purple Purple Yellow Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Brown Brown Purple Purple Purple Purple Purple\nPurple Purple Orange Orange Purple Purple Purple Purple Purple\nPurple Purple Orange Orange Purple Purple Purple Purple Purple\nPurple Purple Orange Orange Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Green Green Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Green Green Green Green Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Green Green Green Green Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Green Green Green Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Green Green Blue Blue Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Green Green Green Blue Blue Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Green Green Green Blue Blue Black Black Red Red Black Black Black Black Black Black\nBlack Black Green Green Green Green Blue Blue Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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:\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Blue Blue Blue Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nBlack Black Black Blue Blue Blue Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue\nBrown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Black Black Black Black Black Black Blue Blue Blue Black Black Black Brown Brown Brown Blue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Black Black Black Black Black Black Brown Brown Brown Yellow Yellow Yellow Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Brown Brown Brown Black Black Black Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Brown Brown Brown Black Black Black Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown\nYellow Yellow Yellow Blue Blue Blue Blue Blue Blue Brown Brown Brown Black Black Black Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown\nYellow Yellow Yellow Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Brown Brown Brown Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Brown Brown Brown Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Brown Brown Brown Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Brown Brown Brown Brown Brown Brown Blue Blue Blue Black Black Black Black Black Black Brown Brown Brown Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Brown Brown Brown Blue Blue Blue Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Brown Brown Brown Blue Blue Blue Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Brown Brown Brown Blue Blue Blue Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Yellow Yellow Yellow Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nExample 2\nInput:\nRed Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nRed Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Red Red Red Red Red Red Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Red Red Red Brown Brown Brown Black Black Black\nBrown Brown Brown Red Red Red Red Red Red Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Red Red Red Brown Brown Brown Black Black Black\nBrown Brown Brown Red Red Red Red Red Red Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Red Red Red Brown Brown Brown Black Black Black\nBrown Brown Brown Black Black Black Brown Brown Brown Red Red Red Black Black Black Brown Brown Brown Red Red Red Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Brown Brown Brown Red Red Red Black Black Black Brown Brown Brown Red Red Red Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Brown Brown Brown Red Red Red Black Black Black Brown Brown Brown Red Red Red Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Red Red Red\nBrown Brown Brown Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Red Red Red\nBrown Brown Brown Brown Brown Brown Red Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Red Red Red\nBrown Brown Brown Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Brown Brown Brown Red Red Red Red Red Red\nBrown Brown Brown Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Brown Brown Brown Red Red Red Red Red Red\nBrown Brown Brown Black Black Black Black Black Black Red Red Red Red Red Red Red Red Red Black Black Black Brown Brown Brown Red Red Red Red Red Red\nBlack Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Black Black Black Brown Brown Brown\nBlack Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Black Black Black Brown Brown Brown\nBlack Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Black Black Black Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Red Red Red\nBrown Brown Brown Red Red Red Brown Brown Brown Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBrown Brown Brown Red Red Red Brown Brown Brown Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBrown Brown Brown Red Red Red Brown Brown Brown Red Red Red Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Brown Brown Brown\n\nOutput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nExample 3\nInput:\nYellow Yellow Yellow Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue\nYellow Yellow Yellow Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Black Black Black Yellow Yellow Yellow Pink Pink Pink Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink\nBlue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlack Black Black Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Blue Blue Blue Pink Pink Pink\nBlack Black Black Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Blue Blue Blue Pink Pink Pink Blue Blue Blue Pink Pink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Black Black Black Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Black Black Black\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Black Black Black Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Black Black Black\nPink Pink Pink Pink Pink Pink Yellow Yellow Yellow Black Black Black Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Yellow Yellow Yellow Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Pink Pink Pink Black Black Black Pink Pink Pink\nBlack Black Black Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Blue Blue Blue Yellow Yellow Yellow Pink Pink Pink Black Black Black Pink Pink Pink\nBlue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Pink Pink Pink\nBlue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Pink Pink Pink\nBlue Blue Blue Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Pink Pink Pink\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black\nPurple Purple Purple Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black\nPurple Purple Purple Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Pink Pink Pink Purple Purple Purple Pink Pink Pink Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Purple Purple Purple Pink Pink Pink Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Purple Purple Purple Pink Pink Pink Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple\nPink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Purple Purple Purple\nBlack Black Black Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Pink Pink Pink Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
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{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Black Black Black Black Black\nGray Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Black Black Black\nBlack Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple 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\nOrange Orange Orange Orange Orange Black Black Black Black Black\nOrange Orange Orange Orange Orange Black Black Black Black Black\nOrange Pink Pink Pink Pink Pink Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Red Red Red Black\nBlack Black Black Blue Blue Blue Red Red Red Black\nBlack Gray Gray Gray Gray Blue Red Red Red Black\nBlack Gray Gray Gray Gray Blue Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Red Red Red Black\nBlack Blue Blue Blue Black Black Red Red Red Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Green Green Green Black\nBlack Black Black Yellow Yellow Yellow Green Green Green Black\nBlack Orange Orange Orange Orange Yellow Green Green Green Black\nBlack Orange Orange Orange Orange Yellow Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Green Green Green Black\nBlack Yellow Yellow Yellow Black Black Green Green Green Black\n\n\nExample 3\nInput:\nBlack Black Purple Purple Purple Purple Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black\nGray Gray Purple Purple Purple Purple Black Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black\nGray Gray Gray Blue Blue Blue Black Purple Purple Black\nGray Gray Gray Blue Blue Blue Black Purple Purple Black\nBlack Black Black Blue Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\nBlack Black Black Black Red Red Black Black Black Black\n\nOutput:\nBlack Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Pink Pink Pink Pink Black Black Black Black\nOrange Orange Pink Pink Pink Pink Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Yellow Yellow Yellow Black Pink Pink Black\nOrange Orange Orange Yellow Yellow Yellow Black Pink Pink Black\nBlack Black Black Yellow Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green 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\nRed Red Red Black Black Red Red Black Black Black\nRed Red Red Black Black Red Red Black Black Black\nRed Red Red 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 Purple Purple Black\nBlack Black Black Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Black Purple Purple Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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\nGreen Green Green Black Black Green Green Black Black Black\nGreen Green Green Black Black Green Green Black Black Black\nGreen Green Green 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 Black Black Black\nBlack Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Pink Pink Black\nBlack Black Black Black Black Black Black Pink Pink Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black\nBlack Green Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black\nBlack Purple Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Purple Black Black Black Black\nBlack Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Green Black Black Black Black Black\nBlack Yellow Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black\nBlack Brown 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 Brown Black Black Black Black\nBlack Black Black Black Black Yellow 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\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\nBlack Pink Black Black Yellow Black Black Black Black Black\nBlack Green Black Green Black Black Black Black Black Black\nBlack Black Orange Black Black Blue Black Black Yellow Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black\nBlack Pink Black Black Green Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black Black Black\nBlack Black Orange Black Black Orange Black Black Green Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Orange Black Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Gray Black Black Orange Black Black Black Black Yellow Black\nBlack 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 Brown\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\nYellow Black Black Black Black Black Black Black Black\nGreen Black Black Orange Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\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\nYellow Black Black Orange Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nRed Red Green Green Blue Yellow\nBlue Green Red Red Blue Yellow\nBlue Blue Green Yellow Red Red\nRed Green Green Yellow Yellow Blue\nBlue Green Yellow Yellow Red Green\nYellow Yellow Red Yellow Green Red\nBlue Yellow Yellow Red Green Red\nYellow Green Red Blue Green Blue\n\nOutput:\nBrown Brown Green Green Orange Purple\nOrange Green Brown Brown Orange Purple\nOrange Orange Green Purple Brown Brown\nBrown Green Green Purple Purple Orange\nOrange Green Purple Purple Brown Green\nPurple Purple Brown Purple Green Brown\nOrange Purple Purple Brown Green Brown\nPurple Green Brown Orange Green Orange\n\n\nExample 2\nInput:\nYellow Red Yellow Yellow Yellow Yellow Green Yellow\nBlue Blue Green Green Blue Red Green Red\nGreen Green Red Green Green Blue Green Blue\nBlue Yellow Blue Green Red Red Red Red\nYellow Yellow Red Blue Yellow Green Yellow Red\n\nOutput:\nPurple Brown Purple Purple Purple Purple Green Purple\nOrange Orange Green Green Orange Brown Green Brown\nGreen Green Brown Green Green Orange Green Orange\nOrange Purple Orange Green Brown Brown Brown Brown\nPurple Purple Brown Orange Purple Green Purple Brown\n\n\nExample 3\nInput:\nBlue Red Yellow Blue Green Blue Red Red Red\nGreen Blue Blue Red Yellow Blue Yellow Blue Red\nRed Red Blue Yellow Red Red Yellow Red Green\nYellow Yellow Red Green Yellow Red Red Red Green\nYellow Yellow Blue Green Yellow Yellow Blue Red Blue\n\nOutput:\nOrange Brown Purple Orange Green Orange Brown Brown Brown\nGreen Orange Orange Brown Purple Orange Purple Orange Brown\nBrown Brown Orange Purple Brown Brown Purple Brown Green\nPurple Purple Brown Green Purple Brown Brown Brown Green\nPurple Purple Orange Green Purple Purple Orange Brown Orange\n\n\nHere is the input grid for the test example:\nInput:\nYellow Blue Yellow Blue Yellow Blue Blue\nRed Yellow Green Yellow Blue Blue Yellow\nGreen Green Blue Green Red Blue Blue\nGreen Green Yellow Blue Yellow Green Green\nGreen Yellow Yellow Blue Green Green Green\nRed Green Blue Red Yellow Yellow Red\nGreen Blue Green Green Yellow Red 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```\nPurple Orange Purple Orange Purple Orange Orange\nBrown Purple Green Purple Orange Orange Purple\nGreen Green Orange Green Brown Orange Orange\nGreen Green Purple Orange Purple Green Green\nGreen Purple Purple Orange Green Green Green\nBrown Green Orange Brown Purple Purple Brown\nGreen Orange Green Green Purple Brown 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 Purple Black Black Green Green Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Green Green Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Purple Purple Pink Pink Black Black Black Black Yellow Yellow Black Black Orange Orange Black Black\nYellow Yellow Black Black Purple Purple Pink Pink Black Black Black Black Yellow Yellow Black Black Orange Orange Black Black\nPink Pink Orange Orange Black Black Black Black Black Black Purple Purple Blue Blue Brown Brown Yellow Yellow Black Black\nPink Pink Orange Orange Black Black Black Black Black Black Purple Purple Blue Blue Brown Brown Yellow Yellow Black Black\nBrown Brown Blue Blue Black Black Black Black Black Black Orange Orange Black Black Pink Pink Red Red Red Red\nBrown Brown Blue Blue Black Black Black Black Black Black Orange Orange Black Black Pink Pink Red Red Red Red\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Pink Pink Red Red\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black Pink Pink Red Red\nPink Pink Yellow Yellow Black Black Black Black Black Black Orange Orange Purple Purple Black Black Yellow Yellow Orange Orange\nPink Pink Yellow Yellow Black Black Black Black Black Black Orange Orange Purple Purple Black Black Yellow Yellow Orange Orange\nBrown Brown Black Black Orange Orange Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBrown Brown Black Black Orange Orange Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Red Red Red Red\nBlack Black Green Green Black Black Black Black Red Red Gray Gray Black Black Black Black Black Black Orange Orange\nBlack Black Green Green Black Black Black Black Red Red Gray Gray Black Black Black Black Black Black Orange Orange\nOrange Orange Purple Purple Orange Orange Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black\nOrange Orange Purple Purple Orange Orange Black Black Black Black Black Black Blue Blue Purple Purple Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nOrange Orange Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Blue Blue Black Black\nOrange Orange Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Blue Blue Black Black\nBlack Black Purple Purple Purple Purple Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Black Black Yellow Yellow Purple Purple Black Black Black Black Black Black Blue Blue\nRed Red Black Black Black Black Black Black Yellow Yellow Purple Purple Black Black Black Black Black Black Blue Blue\nBlack Black Orange Orange Black Black Yellow Yellow Black Black Blue Blue Black Black Brown Brown Black Black Pink Pink\nBlack Black Orange Orange Black Black Yellow Yellow Black Black Blue Blue Black Black Brown Brown Black Black Pink Pink\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nRed Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBrown Brown Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Purple Purple Black Black Red Red Black Black Black Black Black Black Blue Blue Orange Orange\nBlack Black Yellow Yellow Purple Purple Black Black Red Red Black Black Black Black Black Black Blue Blue Orange Orange\nBlack Black Black Black Black Black Black Black Brown Brown Green Green Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Green Green Black Black Black Black Green Green Black Black\nBrown Brown Orange Orange Gray Gray Brown Brown Black Black Pink Pink Blue Blue Purple Purple Yellow Yellow Black Black\nBrown Brown Orange Orange Gray Gray Brown Brown Black Black Pink Pink Blue Blue Purple Purple Yellow Yellow Black Black\nBrown Brown Black Black Pink Pink Black Black Pink Pink Green Green Black Black Brown Brown Black Black Black Black\nBrown Brown Black Black Pink Pink Black Black Pink Pink Green Green Black Black Brown Brown Black Black Black Black\n\nOutput:\nYellow Yellow Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Pink Pink Black Black\nRed Red Black Black Black Black Black Black Black Black Brown Brown Black Black Gray Gray Black Black Black Black\nRed Red Black Black Black Black Black Black Black Black Brown Brown Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Pink Pink Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Pink Pink Orange Orange\nBlue Blue Brown Brown Black Black Black Black Brown Brown Black Black Black Black Yellow Yellow Black Black Black Black\nBlue Blue Brown Brown Black Black Black Black Brown Brown Black Black Black Black Yellow Yellow Black Black Black Black\nPink Pink Black Black Brown Brown Orange Orange Black Black Black Black Brown Brown Gray Gray Black Black Black Black\nPink Pink Black Black Brown Brown Orange Orange Black Black Black Black Brown Brown Gray Gray Black Black Black Black\nGray Gray Black Black Black Black Brown Brown Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nGray Gray Black Black Black Black Brown Brown Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Yellow Yellow Gray Gray Blue Blue Yellow Yellow Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Yellow Yellow Gray Gray Blue Blue Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Green Green\nYellow Yellow Black Black Black Black Black Black Black Black Purple Purple Black Black Black Black Black Black Green Green\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 Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Purple Purple Black Black Black Black Pink Pink Red Red Black Black\nGray Gray Black Black Black Black Black Black Purple Purple Black Black Black Black Pink Pink Red Red Black Black\nBlack Black Purple Purple Black Black Black Black Yellow Yellow Orange Orange Brown Brown Purple Purple Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Yellow Yellow Orange Orange Brown Brown Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Blue Blue Brown Brown Black Black Blue Blue Green Green Black Black\nBlack Black Black Black Purple Purple Black Black Blue Blue Brown Brown Black Black Blue Blue Green Green Black Black\nBlack Black Black Black Black Black Brown Brown Orange Orange Black Black Pink Pink Gray Gray Black Black Orange Orange\nBlack Black Black Black Black Black Brown Brown Orange Orange Black Black Pink Pink Gray Gray Black Black Orange Orange\nBlue Blue Black Black Red Red Black Black Black Black Orange Orange Black Black Black Black Gray Gray Black Black\nBlue Blue Black Black Red Red Black Black Black Black Orange Orange Black Black Black Black Gray Gray Black Black\nBlack Black Gray Gray Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Blue Blue Black Black Yellow Yellow Pink Pink Black Black Pink Pink Black Black\nGray Gray Black Black Black Black Blue Blue Black Black Yellow Yellow Pink Pink Black Black Pink Pink Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Gray Gray Black Black Black Black Purple Purple Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Gray Gray Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Purple Purple Yellow Yellow Red Red Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Yellow Yellow Red Red Gray Gray Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Brown Black Black Black Black\nBrown Brown Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink Pink\nBrown Brown Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink Pink\nBrown Brown Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink Pink\nBrown Brown Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink Pink\nBrown Brown Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink Pink\nBrown Brown Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Black Black Black Black Black Black\nBlack Black Blue Blue Orange Gray Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Gray Black Black Black Gray Purple Black Black Black Black\nBlack Gray Gray Red Red Red Gray Gray Black Black Black Black\nBlack Yellow Gray Pink Pink Pink Gray Yellow Black Black Black Black\nBlack Gray Gray Pink Purple Pink Gray Gray Black Black Black Black\nBlack Blue Blue Yellow Yellow Yellow Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nOrange Black Orange Black Black Black Black Pink Black Pink Black Black\nRed Blue Red Black Black Black Black Pink Pink Pink Black Black\nRed Red Red 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 Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Orange Black Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Black Pink Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Yellow Blue Blue Yellow Black Black Black Black Black\nBlack Black Black Black Black Red Yellow Yellow Red Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Yellow Black\nBlack Black Black Black Black Black Blue Black Black Black Black Black Black Black\nBlack 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\nBlue Blue Black Black Black Black Black Pink Yellow Purple Purple Purple Purple Orange\nBlack Pink Black Black Black Black Black Green Yellow Yellow Purple Yellow Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Black\nBlack Black Black Black Black Black Black Green Yellow Yellow Purple Yellow Orange Orange\nBlack Black Black Black Black Black Black Pink Yellow Purple Purple Purple Purple Orange\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Purple Purple Black Black\nBlack Black Black Black Black Blue Black Pink Yellow Brown Gray Gray Red\nBlack Black Black Black Black Blue Black Red Yellow Black Black Black Black\nBlack Black Black Black Black Blue Black Pink Yellow Brown Gray Gray Red\nBlack Black Black Black Orange Orange Black Red Red Purple Purple Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Green Green Black\nBlack Blue Blue Black Black Blue Black Black Black Black Black\nBlue Blue Blue Black Black Blue Blue Blue Black Black Black\nBlue Blue Blue Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Brown Gray Blue Brown Black\nBlue Yellow Blue Yellow Blue Black Brown Black Blue Brown Black\nBlack Black Yellow Black Black Black Brown Black Blue Brown Black\nBlack Black Blue Black Black Black Brown Gray Blue Brown Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue\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 Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black\nBlue Black Black Black Blue Black Blue Black Black Black Black Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Blue Black Black Black Black Blue Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Blue Black Black Black Blue Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Blue Black Black Blue Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Blue Blue Blue Blue Blue\nBlue Blue Blue Black Blue Blue Black Black Black Black Blue Black Blue Black Blue Black Black Black Blue\nBlue Black Blue Black Blue Black Black Black Blue Black Blue Black Blue Black Blue Black Black Black Blue\nBlue Black Blue Black Blue Black Black Black Blue Black Blue Black Blue Black Blue Black Black Black Blue\nBlue Black Blue Black Blue Blue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Blue\nBlue 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 Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlue Black Black Black Blue Black Yellow Black Black Black Black Yellow Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Yellow Black Black Black Black Yellow Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Yellow Black Black Black Yellow Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Blue Black Black Blue Black Blue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Blue Blue Black Black Black Black Yellow Black Yellow Black Yellow Black Black Black Yellow\nYellow Black Yellow Black Blue Black Black Black Blue Black Yellow Black Yellow Black Yellow Black Black Black Yellow\nYellow Black Yellow Black Blue Black Black Black Blue Black Yellow Black Yellow Black Yellow Black Black Black Yellow\nYellow Black Yellow Black Blue Blue Blue Blue Blue Black Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Black Black Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Black Black Blue Black Black Black\nBlack Black Black Blue Black Black Black Black Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Black Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Yellow Black Black Black\nBlack Black Black Yellow Black Black Black Black Yellow Black Black Black\nBlack Black Black Yellow Black Black Black Black Yellow Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Blue Black Blue Blue Blue Blue\nBlack Black Blue Black Blue Black Black Black Blue Black Black Blue\nBlack Black Blue Black Blue Black Black Black Blue Black Black Blue\nBlack Black Blue Black Blue Black Black Black Blue Blue Blue Blue\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black 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 Yellow Yellow Yellow Black Blue Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Black Yellow Black Black Black Yellow Black Black Yellow\nBlack Black Yellow Black Yellow Black Black Black Yellow Black Black Yellow\nBlack Black Yellow Black Yellow Black Black Black Yellow Yellow Yellow Yellow\nBlack Black Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Blue Black Black\nBlue Black Blue Black Blue Black Blue Black Black Blue Black Blue Black Black\nBlue Black Blue Black Blue Blue Blue Black Black Blue Blue Blue Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Blue Black Black Black Black Blue\nBlue Black Black Blue Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlue Black Black Blue Black Black Blue Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Yellow Black Black\nBlue Black Blue Black Blue Black Blue Black Black Yellow Black Yellow Black Black\nBlue Black Blue Black Blue Blue Blue Black Black Yellow Yellow Yellow Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Blue Black Black Black Black Blue\nYellow Black Black Yellow Black Black Black Black Blue Blue Blue Blue Blue Blue\nYellow Black Black Yellow Black Black Blue Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Black Black Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue 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 Blue Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black Black\n\nOutput:\nBlack Blue Black Blue Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Blue Black Black\nBlue Blue Blue Blue Blue Black Blue Blue Blue Black\nBlack Blue Blue Blue Blue Blue Black Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Blue Black\nBlack Blue Blue Black Blue Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue 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 Blue Black Black Black Blue Blue Black\nBlack Blue Blue Blue Black Black Blue Blue Black Black\nBlack Black Blue Blue Blue Black Black Blue Blue Black\nBlack Black Black Black Blue Blue Black Black Black Black\nBlack Blue Black Black Blue Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Black Blue Black Black Black 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 Blue Blue Black Black Black Black Black Black\nBlack Blue Black Blue Blue Black Black Blue Blue Black\nBlack Blue Blue Blue Black Black Blue Blue Black Blue\nBlack Black Blue Blue Blue Black Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Black Blue Black\nBlack Blue Black Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Black Blue Blue Blue Black Black\nBlue Black Blue Blue Black Black Blue Blue Blue Black\nBlack Blue Blue Black Black Blue Blue Black Blue Black\nBlack Black Black Black Black Black Blue Blue Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black Black\n\nOutput:\nBlue Black Blue Black Black Black Blue Blue Blue Black\nBlue Black Blue Blue Blue Black Blue Black Black Black\nBlue Blue Blue Blue Black Black Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Black Black\nBlack Blue Black Blue Black Blue Black Blue Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Black Black Blue Blue Blue Blue Blue\nBlack Black Blue Black Blue Blue Blue Black Blue Black\nBlue Blue Blue Black Black Black Blue Black Blue Black\nBlack Black Blue Black Black Black Blue Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Black Blue Black\nBlack Black Black Blue Blue Blue Black Blue Blue Black\nBlack Black Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Black Blue Blue 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 Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlue Blue Blue Black Black Blue Blue Blue Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Black Black Blue Blue Blue\nBlack Black Blue Blue Blue Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Orange Pink Pink Green Gray Gray Gray\nBlack Black Black Black Black Black Black Orange Pink Pink Green Brown Gray Yellow\nBlack Black Black Black Black Black Black Gray Blue Blue Orange Blue Orange Orange\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Red Gray Gray\n\nOutput:\nOrange Pink Pink Green Gray Gray Gray Orange Pink Pink Green Gray Gray Gray\nOrange Pink Pink Green Brown Gray Yellow Orange Pink Pink Green Brown Gray Yellow\nGray Blue Blue Orange Blue Orange Orange Gray Blue Blue Orange Blue Orange Orange\nBlue Blue Blue Blue Red Gray Gray Blue Blue Blue Blue Red Gray Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black Yellow Gray Brown Brown Red\nBlack Black Black Black Black Yellow Gray Brown Orange Gray\nBlack Black Black Black Black Green Green Green Yellow Gray\nBlack Black Black Black Black Yellow Pink Blue Brown Purple\nBlack Black Black Black Black Pink Pink Blue Purple Orange\n\nOutput:\nYellow Gray Brown Brown Red Yellow Gray Brown Brown Red\nYellow Gray Brown Orange Gray Yellow Gray Brown Orange Gray\nGreen Green Green Yellow Gray Green Green Green Yellow Gray\nYellow Pink Blue Brown Purple Yellow Pink Blue Brown Purple\nPink Pink Blue Purple Orange Pink Pink Blue Purple Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Purple Orange Brown Purple Orange Orange\nBlack Black Black Black Black Black Purple Purple Brown Brown Orange Blue\nBlack Black Black Black Black Black Purple Red Red Red Gray Blue\nBlack Black Black Black Black Black Purple Gray Blue Red Gray Gray\nBlack Black Black Black Black Black Pink Pink Gray Yellow Brown Gray\n\nOutput:\nPurple Orange Brown Purple Orange Orange Purple Orange Brown Purple Orange Orange\nPurple Purple Brown Brown Orange Blue Purple Purple Brown Brown Orange Blue\nPurple Red Red Red Gray Blue Purple Red Red Red Gray Blue\nPurple Gray Blue Red Gray Gray Purple Gray Blue Red Gray Gray\nPink Pink Gray Yellow Brown Gray Pink Pink Gray Yellow Brown Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Purple Blue Pink Pink\nBlack Black Black Black Yellow Blue Gray Blue\nBlack Black Black Black Red Brown Pink 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```\nPurple Blue Pink Pink Purple Blue Pink Pink\nYellow Blue Gray Blue Yellow Blue Gray Blue\nRed Brown Pink Blue Red Brown Pink 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 Yellow Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Gray Gray Gray Black Black Black\nYellow Yellow Black Black Black Blue Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Red Red Black\nBlack Yellow Yellow Black Black Black Black Red Red Red\nBlack Yellow Blue Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Black\nBlack Black Purple Black Black Brown Brown Brown Black Black\nBlack Purple Purple Purple Black Black Brown Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black\n\nOutput:\nGreen\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Pink Blue Pink Black\nBlack Black Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Purple Black Black Black Black\nBlack Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPurple Purple Purple Black Yellow Yellow Yellow Black Black Black\nPurple Purple Purple Black Yellow Yellow Black Black Black Black\nBlack Purple Black Black Yellow Black Black Black Black Black\n\nOutput:\nGreen\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black\nBlack Black Black Black Black Black Green Blue Black Black\nBlack Black Black Black Black Black Green Green Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (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 Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Black Black Black Black Black Black Pink\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nPurple Black Black Black Black Black Black Black Black Blue\nBlack Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Red Black Black Black Black\n\nOutput:\nBlack Black 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 Green\nBlack Black Black Black Black Black Black Black Black Green\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Green Black Black Black Black\n\n\nExample 2\nInput:\nOrange Black Brown Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black 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 Black Black Black Black\nYellow Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Orange Black Purple\n\nOutput:\nGreen Black Green Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nGreen Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Green\n\n\nExample 3\nInput:\nBlack Orange Black Gray Orange Black Black Black Yellow Black\nBlack 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 Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Green Black Green Green Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Yellow Red Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nYellow Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Green Green Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nGreen Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nGreen Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Yellow 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 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 Blue Blue Blue Red Red Red Black Black Black\nBlack Blue Blue Blue Red Red Red Black Black Black\nBlack Yellow Yellow Yellow Green Green Green Yellow Black Black\nBlack Yellow Yellow Yellow Green Green Green Yellow Black Black\nBlack Yellow Yellow Yellow Green Green Green Yellow 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 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 Green Green Black Black Black Black\nBlack Black Green Green Green Green Green Black Black Black\nBlack Black Green Green Green Black Green Black Black Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Green Green Blue Blue Red Red Black Black\nBlack Black Green Green Blue Blue Red Red Black Black\nBlack Black Black Black Yellow Yellow Green Green Black Black\nBlack Black Black Black Yellow Yellow Green Green Black Black\nBlack Black Black Black Yellow Yellow 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\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Green Green Green Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black 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 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 Green Green Black Black\nBlack Black Black Black Blue Blue Blue Red Red Black\nBlack Black Black Black Yellow Yellow Yellow Green Green Black\nBlack Black Black Black Yellow Yellow Yellow Green Green Black\nBlack Black Black Black Black Black Black 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 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 Gray Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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 Blue Blue Red Black Black Black Black\nBlack Black Gray Blue Blue Red Black Black Black Black\nBlack Black Gray Yellow Yellow Green Black Black Black Black\nBlack Black Black Yellow Yellow Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Red Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Yellow Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Red 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 Yellow Black Black Black Yellow Black Black Red Black Black\n\nOutput:\nBlack Black Black Yellow Pink Yellow Black Black Black Black Yellow Yellow\nBlack Black Black Black Yellow Black Yellow Black Black Yellow Pink Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Yellow Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Yellow Yellow Black Yellow Pink Yellow Black\nBlack Black Black Black Yellow Yellow Pink Yellow Black Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Yellow Black Black\nBlack Black Yellow Black Black Black Yellow Black Yellow Pink Yellow 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 Red\nBlack Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Red Black Black Yellow Black\nBlack Black Black Black Black Black Red Black Red Black\nBlack Red Black Black Red Black Black Red Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Yellow Pink\nBlack Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Yellow Black Yellow Black Black\nBlack Black Black Black Yellow Pink Yellow Black Purple Black\nBlack Yellow Black Black Yellow Yellow Pink Yellow Pink Yellow\nYellow Pink Yellow Yellow Pink Yellow Yellow Pink Yellow Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Yellow Red Black\nBlack Black Red Black Black Yellow Black Black Black Black Yellow\nBlack Black Black Red Black Black Yellow Black Black Black Black\nBlack Red Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black\nYellow Black Black Black Black Black Red Yellow Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Yellow Black Black Black Yellow Black Yellow Pink Yellow\nBlack Yellow Pink Yellow Black Yellow Black Black Black Yellow Yellow\nBlack Yellow Yellow Pink Yellow Black Yellow Black Black Black Black\nYellow Pink Purple Yellow Black Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Yellow Black Black Yellow Black\nYellow Black Black Black Black Yellow Pink Purple Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nRed Black Black Yellow Red Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Yellow Black Yellow Red\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Yellow Pink Yellow Yellow Black Black\nYellow Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Yellow Black Black Black Yellow\nBlack Black Black Yellow Pink Purple Black Yellow Pink\nBlack Black Black Black Yellow Black Black Black Yellow\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Yellow Pink Yellow Black Black\nBlack Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by 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 Brown Green Yellow Black Black Black Black\nBlack Black Brown Black Black Purple Green Black Black Black Black Black\nBlack Blue Brown Black Black Brown Green Yellow Black Black Black Black\nBlack Purple Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Gray Gray Green Orange Orange Gray 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 Purple Purple Blue Black Black Black Black\nBlack Black Purple Black Black Brown Purple Black Black Black Black Black\nBlack Yellow Purple Black Black Purple Purple Blue Black Black Black Black\nBlack Brown Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Pink Pink Black Black Black Black Black\nBlack Gray Gray Purple Pink Pink Gray 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 Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Blue Black Black Black Black Black Red Red\nBlack Black Brown Black Black Black Black Black Purple Purple\nBlack Black Blue Black Black Black Black Black Black Black\n\nOutput:\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\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black Yellow Black Black Black Black Black Purple Purple\nBlack Black Purple Black Black Black Black Black Brown Brown\nBlack Black Yellow Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Gray Black Black Black Black Black Black\nBlack Gray Black Black Orange Black Black Black Black Black Black\nBlack Pink Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Purple Black Black\nBlack Black Black Black Black Blue Blue Purple Gray Black Black\n\nOutput:\nBlack Black Blue Black Black Black Black Black Black Black Black\nBlack Black Orange Black Black Black Black Black Black Black Black\nBlack Orange Orange Black Gray Black Black Black Black Black Black\nBlack Gray Black Black Pink Black Black Black Black Black Black\nBlack Orange Black Black Purple Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Black Brown Black Black\nBlack Black Black Black Black Yellow Yellow Brown Gray 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 Green Black Black Black Black Black Black\nBlack Black Green Blue Black Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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 Purple Black Black Black Black Black Black\nBlack Black Purple Yellow Black Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown 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 Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlue 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\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\nRed Red Black Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\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 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 Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Black Black Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue 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 Purple Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack 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 Black Black Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by 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 Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Red Red Red\nRed Red Red Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Red Red Red\nBlack Green Green Green Red Red Red Red Red Red\nBlack Green Green Green Red Red Red Red Red Red\nBlack Green Green Green Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Blue Blue Blue\nBlack Green Green Green Blue Blue Blue Blue Blue Blue\nBlack Green Green Green Blue Blue Blue Blue Blue Blue\nBlack Green Green Green Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Black Red Red Red Black\nBlack Black Red Red Red Black Red Red Red Black\nBlack Black Red Red Red Black Red Red Red Black\nBlack Black Black Black Black Black Red Red Red Black\nBlack Green Green Green Black Black Red Red Red Black\nBlack Green Green Green Black Black Red Red Red Black\nBlack Green Green Green 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 Blue Blue Blue Black Blue Blue Blue Black\nBlack Black Blue Blue Blue Black Blue Blue Blue Black\nBlack Black Blue Blue Blue Black Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Black\nBlack Green Green Green Black Black Blue Blue Blue Black\nBlack Green Green Green Black Black Blue Blue Blue Black\nBlack Green Green Green Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Green Green Green Black\nRed Red Red Black Black Black Green Green Green Black\nRed Red Red Black Black Black Green Green Green 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 Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Green Green Green Black\nBlue Blue Blue Black Black Black Green Green Green Black\nBlue Blue Blue Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Black Black Black Black Blue Black Black Black\nBlack Blue Black Black Black Black Blue Black Black Black\nBlack Blue Black Black Black Black Blue Black Pink Yellow\nBlack Blue Black Black Black Black Blue Black Green Red\nBlue Blue Blue Blue Blue Blue Blue 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 Green Green Green\nBlack Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black 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\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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Black Black Black Black Blue Black Black Black Black Black Black\nBlack Blue Black Black Black Black Blue Black Black Black Black Black Black\nBlack Blue Black Black Black Black Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Pink Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Green Red\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 Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Yellow\nBlack Black Black Black Black Black Black Black Black Green Red\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Black Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Blue Black Black Black Black Blue Black Black\nBlack Black Black Blue Black Black Black Black Blue Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Blue 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 Blue Blue 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 Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Black Black Blue\nBlack Black Black Black Black Black Blue Black Black Blue\nBlack Black Black Black Black Black Blue Black Black Blue\nBlack Black Black Black Black Black Blue Black Black Blue\nBlack Black Black Black Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Pink Yellow Black\nBlack Black Black Black Black Black Black Green Red Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nOrange Orange Gray Blue\nPink Pink Blue Blue\nPink Pink Blue Blue\nGreen Green Orange Blue\nGray Brown Blue Red\nGray Gray Orange Gray\nGray Yellow Orange Gray\n\nOutput:\nGray Yellow Orange Gray\nGray Gray Orange Gray\nGray Brown Blue Red\nGreen Green Orange Blue\nPink Pink Blue Blue\nPink Pink Blue Blue\nOrange Orange Gray Blue\nOrange Orange Gray Blue\nPink Pink Blue Blue\nPink Pink Blue Blue\nGreen Green Orange Blue\nGray Brown Blue Red\nGray Gray Orange Gray\nGray Yellow Orange Gray\n\n\nExample 2\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nYellow Yellow Green Yellow Pink\nGray Gray Green Pink Pink\nBrown Brown Green Blue Blue\nBrown Orange Yellow Brown Purple\nRed Gray Gray Purple Orange\n\nOutput:\nRed Gray Gray Purple Orange\nBrown Orange Yellow Brown Purple\nBrown Brown Green Blue Blue\nGray Gray Green Pink Pink\nYellow Yellow Green Yellow Pink\nYellow Yellow Green Yellow Pink\nGray Gray Green Pink Pink\nBrown Brown Green Blue Blue\nBrown Orange Yellow Brown Purple\nRed Gray Gray Purple Orange\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlack Black Black Black Black\nPurple Purple Purple Purple Pink\nOrange Purple Red Gray Pink\nBrown Brown Red Blue Gray\nPurple Brown Red Red Yellow\nOrange Orange Gray Gray Brown\nOrange Blue Blue Gray Gray\n\nOutput:\nOrange Blue Blue Gray Gray\nOrange Orange Gray Gray Brown\nPurple Brown Red Red Yellow\nBrown Brown Red Blue Gray\nOrange Purple Red Gray Pink\nPurple Purple Purple Purple Pink\nPurple Purple Purple Purple Pink\nOrange Purple Red Gray Pink\nBrown Brown Red Blue Gray\nPurple Brown Red Red Yellow\nOrange Orange Gray Gray Brown\nOrange Blue Blue Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black\nBlack Black Black\nBlack Black Black\nBlack Black Black\nPurple Yellow Red\nBlue Blue Brown\nPink Gray Pink\nPink Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Blue Blue\nPink Gray Pink\nBlue Blue Brown\nPurple Yellow Red\nPurple Yellow Red\nBlue Blue Brown\nPink Gray Pink\nPink Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Purple Black Purple Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black Black Purple Black Purple Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Blue Purple Blue Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Blue Purple Blue Black Black Black Black Black Black Black Black Black\nBrown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Purple Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Orange Orange Orange Black Black Black Black Gray Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Gray Gray Gray Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Orange Black Orange Black Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown\n\n\nExample 2\nInput:\nBlack Black Black Black Blue Black Blue Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Black Blue Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Pink Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Pink Black Pink Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black Black Black Pink Black Pink Black 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nPink\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 Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Orange Black Black Black Black Black Purple 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 Purple Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Purple Purple Purple Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black 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 Black Black Black Black Black Green Black Black\n\nOutput:\nOrange\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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black\nBlack Black Black Black Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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```\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 Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black 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 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\n\nOutput:\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nRed Red Red Red Red Red Black Black Red Red Red Red Red Red 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 Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Black Black Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black 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 Orange Orange Orange Orange Black Black Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Black Black Yellow Yellow Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlue Blue Black Black Blue Blue Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Black Black Blue Blue Black Black Blue Blue Blue Blue\nBlack Black 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 Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Black Black Yellow Yellow Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Orange Orange Orange Orange Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Yellow Yellow Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by 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 Yellow Brown Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Purple Black Green Brown Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Blue Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Orange Red Orange Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Blue Purple Pink Black Black Black Black Green Green Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Gray Pink Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Pink Brown Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Purple Black Black Black\nBlack Black Blue Yellow Purple Pink Black Black Black Black Black Black Black Black Black\nBlack Black Brown Pink Blue Pink Black Black Black Black Black Gray Pink Gray Black\nBlack Black Green Red Brown Blue Black Black Black Black Black Purple Orange Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Gray Black\nBlack Pink Green Red Pink Black Black Black Black Black Black Green Gray Purple Black\nBlack Green Yellow Orange Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red 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\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 Red Blue Pink Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Orange Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Black Black Pink Orange Blue Gray Black Black Black\nBlack Black Black Orange Orange Black Black Pink Red Brown Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black 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 Brown Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Orange Black Black Black Black Black Green Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Gray Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Brown Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPink Black Black Black Black Black\nBlack Pink Black Black Black Black\nBlack Black Pink Black Black Black\nBlack Black Black Pink Black Black\nBlack Black Black Black Pink Black\nBlack Black Black Black Black Pink\n\nOutput:\nPink Black Black Black Black Pink\nBlack Pink Black Black Pink Black\nBlack Black Pink Pink Black Black\nBlack Black Pink Pink Black Black\nBlack Pink Black Black Pink Black\nPink Black Black Black Black Pink\n\n\nExample 2\nInput:\nYellow Black Black Black Black\nBlack Yellow Black Black Black\nBlack Black Yellow Black Black\nBlack Black Black Yellow Black\nBlack Black Black Black Yellow\n\nOutput:\nYellow Black Black Black Yellow\nBlack Yellow Black Yellow Black\nBlack Black Yellow Black Black\nBlack Yellow Black Yellow Black\nYellow Black Black Black Yellow\n\n\nExample 3\nInput:\nBrown Black Black Black Black\nBlack Brown Black Black Black\nBlack Black Brown Black Black\nBlack Black Black Brown Black\nBlack Black Black Black Brown\nBlack Black Black Black Black\nBlack Black Black Black Black\n\nOutput:\nBrown Black Black Black Brown\nBlack Brown Black Brown Black\nBrown Black Brown Black Brown\nBlack Brown Black Brown Black\nBrown Black Brown Black Brown\nBlack Brown Black Brown Black\nBrown Black Black Black Brown\n\n\nHere is the input grid for the test example:\nInput:\nPink Black Black Black Black Black Black\nBlack Pink Black Black Black Black Black\nBlack Black Pink Black Black Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Black Black Pink Black Black\nBlack Black Black Black Black Pink Black\nBlack Black Black 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```\nPink Black Black Black Black Black Pink\nBlack Pink Black Black Black Pink Black\nBlack Black Pink Black Pink Black Black\nBlack Black Black Pink Black Black Black\nBlack Black Pink Black Pink Black Black\nBlack Pink Black Black Black Pink Black\nPink 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:\nBlue Blue Blue Blue Green Green Blue Blue\nBlue Blue Blue Blue Green Green Blue Blue\nGreen Green Green Green Yellow Yellow Red Red\nGreen Green Green Green Yellow Yellow Red Red\nBlue Blue Blue Blue Blue Blue Red Red\nBlue Blue Blue Blue Blue Blue Red Red\nGreen Green Blue Blue Blue Blue Green Green\nGreen Green Blue Blue Blue Blue Green Green\n\nOutput:\nRed Red Red Red Yellow Yellow Red Red\nRed Red Red Red Yellow Yellow Red Red\nYellow Yellow Yellow Yellow Blue Blue Green Green\nYellow Yellow Yellow Yellow Blue Blue Green Green\nRed Red Red Red Red Red Green Green\nRed Red Red Red Red Red Green Green\nYellow Yellow Red Red Red Red Yellow Yellow\nYellow Yellow Red Red Red Red Yellow Yellow\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nGreen Green Red Red Red Red Black\nGreen Green Red Red Red Red Black\nBlue Blue Green Green Blue Blue Black\nBlue Blue Green Green Blue Blue Black\nYellow Yellow Red Red Yellow Yellow Black\nYellow Yellow Red Red Yellow Yellow Black\n\nOutput:\nBlack Black Black Black Black Black Black\nYellow Yellow Green Green Green Green Black\nYellow Yellow Green Green Green Green Black\nRed Red Yellow Yellow Red Red Black\nRed Red Yellow Yellow Red Red Black\nBlue Blue Green Green Blue Blue Black\nBlue Blue Green Green Blue Blue Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black\nGreen Green Red Red Blue Blue Red Red Black\nGreen Green Red Red Blue Blue Red Red Black\nBlue Blue Green Green Green Green Green Green Black\nBlue Blue Green Green Green Green Green Green Black\nRed Red Yellow Yellow Yellow Yellow Yellow Yellow Black\nRed Red Yellow Yellow Yellow Yellow Yellow Yellow Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nYellow Yellow Green Green Red Red Green Green Black\nYellow Yellow Green Green Red Red Green Green Black\nRed Red Yellow Yellow Yellow Yellow Yellow Yellow Black\nRed Red Yellow Yellow Yellow Yellow Yellow Yellow Black\nGreen Green Blue Blue Blue Blue Blue Blue Black\nGreen Green Blue Blue Blue Blue Blue Blue Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nRed Red Red Red Green Green Red Red Black\nRed Red Red Red Green Green Red Red Black\nRed Red Red Red Yellow Yellow Blue Blue Black\nRed Red Red Red Yellow Yellow Blue Blue Black\nRed Red Blue Blue Green Green Yellow Yellow Black\nRed Red Blue Blue Green Green Yellow Yellow Black\nGreen Green Green Green Red Red Green Green Black\nGreen Green Green Green Red Red Green Green Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black\nGreen Green Green Green Yellow Yellow Green Green Black\nGreen Green Green Green Yellow Yellow Green Green Black\nGreen Green Green Green Blue Blue Red Red Black\nGreen Green Green Green Blue Blue Red Red Black\nGreen Green Red Red Yellow Yellow Blue Blue Black\nGreen Green Red Red Yellow Yellow Blue Blue Black\nYellow Yellow Yellow Yellow Green Green Yellow Yellow Black\nYellow Yellow Yellow Yellow Green Green 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\nBlack Black Black Red Red Red Purple Purple Black Black Black Black\nBlack Black Black Black Red Black Purple Purple Yellow Yellow Yellow Black\nBlack Black Black Black Red Purple Purple Purple Purple Yellow Yellow Black\nBlack Black Black Black Red Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black\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 Red Black Purple Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Purple Yellow Black Red Black Black Black\nBlack Black Black Purple Yellow Yellow Yellow Red Red Black Black\nBlack Black Black Purple Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Purple Purple Yellow Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Purple Purple Purple Black Black\nBlack Black Red Red Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black\nBlack Black Red Red Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Black Yellow\nBlack Black Black Black Black Black Black Red Yellow\nBlack Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\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 Red Red Black\nBlack Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Black Black\nBlack Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Purple Purple Black Black\nBlack Black Yellow Yellow Purple Purple Purple Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow 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 Purple Purple Purple\nBlack Black Black Black Black Black Purple Purple Purple\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\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Red Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Yellow 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\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow 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\nBlack Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow 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\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Green Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Red Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Yellow Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\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 Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black\nBlack Black Red Red Red Red Red Red Red Black Black\nBlack Black Black Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black\nRed Red Red Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nYellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Red Red Red 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 Red Red Red Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Green Green Green Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red\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 Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nYellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Red Red Red 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 Red Red Red Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black Black Red Red Red Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red\nBlue Blue Blue Blue Blue Blue Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Red Red Red\n\n\nExample 2\nInput:\nYellow Yellow Yellow Black Black Black Green Green Green Green Green Green Blue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Green Green Green Green Green Green Blue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Green Green Green Green Green Green Blue Blue Blue Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black 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 Green Green Green 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 Green Green Green 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 Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 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 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Black Black Black Green Green Green Green Green Green Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Green Green Green Green Green Green Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Green Green Green Green Green Green Blue Blue Blue Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black 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 Green Green Green 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 Green Green Green 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 Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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:\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Green Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Red Red Red\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black 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 Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Blue Blue Blue 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 Green Green Green Black Black Black Black Black Black Red Red Red Blue Blue Blue Red Red Red\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Red Red Red Blue Blue Blue Red Red Red\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red\nBlue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red\nBlue Blue Blue Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red\nBlack Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Green Green Green Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Green Green Green Black Black Black Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Blue Blue Blue 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 Green Green Green Black Black Black Black Black Black Red Red Red Blue Blue Blue Red Red Red\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Red Red Red Blue Blue Blue Red Red Red\nBlack Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black Black Red Red Red Blue Blue Blue Red Red Red\nRed Red Red Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Red Red Red Black Black Black Yellow Yellow Yellow Red Red Red Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red\nBlue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red\nBlue Blue Blue Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red Black Black Black Red Red Red\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red\nBlack Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Red Red Red\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Red 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 Red Black Blue Blue Blue Blue Black Black Black Black Black Red Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Red Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Red Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black Red Black\nBlack 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\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 Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Red 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 Red Red Blue Blue Blue Blue Red Black Black Black Black Black Black\nBlack Red Black Blue Blue Blue Blue Red Black Black Black Black Black Black\nBlack Red Black Blue Blue Blue Blue Red Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Blue Blue Blue Blue Black\nBlack Black Black Red Red Red Blue Blue Blue Blue Black\nBlack Black Black Black Red Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Black Black Blue Blue Blue Blue Black\nBlack Black Black Red Red Red Blue Blue Blue Blue Black\nBlack Black Black Black Red Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Red Black Black\nBlack Black Black Black Black Black Black Black Black Red Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Red Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Red Red Black\nBlack Black Black Blue Blue Blue Blue Black Black Red Black Black\nBlack Black Black Blue Blue Blue 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 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 Red Red Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Red Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Red Red Black Black Black\nBlack Black Black Blue Blue Blue Blue Red Black Black Black Black\nBlack Black Black Blue Blue Blue 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Red Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Red Red Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Red Red Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Red Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Black\nPink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Black\nBlue Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black\nBlack Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black\nPink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray\nBlack Black Gray Gray Gray Gray Gray\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 Black Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue\nBlack Black Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\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 Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Purple Black Green Black Black\nBlack Black Black Purple Black Green Black Black\nBlack Black Purple Purple Yellow Yellow Yellow Black\nBlack Purple Purple Purple Yellow Yellow Yellow Black\nBlack Black Purple Black Yellow 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 Red Black Red Black Black\nBlack Black Black Red Black Red Black Black\nBlack Black Red Red Red Red Red Black\nBlack Red Red Red Red Red Red Black\nBlack Black Red Black Red Red Red Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Pink Pink Black Black\nBlack Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Green Green 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 Red Black Black\nBlack Red Red Red Black Black Black\nBlack Red Red Red Red Red 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 Purple Purple Purple Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Pink Pink Black Black Black Black\nBlack Pink Pink Green Green Green Black\nBlack Black Black Green Green Green Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Red Red Black Black Black Black\nBlack Red Red Red Red Red Black\nBlack Black Black Red Red Red 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 Purple Black Black Black Black\nBlack Black Black Black Purple Black Black Black Black\nBlack Black Black Black Purple Black Orange Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Green Green 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 Red Red Red Black Black Black\nBlack Black Black Black Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Gray Black Black Black Black\nBlack Black Black Black Brown Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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 Gray Purple Black Black Black Black\nBlack Black Black Black Red Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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 Purple Pink Green Blue Black Black Black\nBlack Black Black Red Brown Yellow Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Blue Green Pink Purple Black Black Black\nBlack Black Black Gray Yellow Brown 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\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Blue Black Black Black Black\nBlack Black Black Black Pink Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Gray Black Black Black Black\nBlack Black Black Black Purple Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Purple Green Black Black Black Black\nBlack Black Black Black Blue Pink Black Black Black Black\nBlack Black Black Black Orange 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 Green Purple Black Black Black Black\nBlack Black Black Black Pink Blue Black Black Black Black\nBlack Black Black Black Gray Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Black Black Black Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Brown Brown Brown Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Brown Brown Brown Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Red Red Brown Brown Brown Red Red Red Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Red Red Red\nBlack Black Black Black Black Black 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 Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black 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 Brown Brown Brown Brown Brown Brown Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Brown Brown Brown Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Pink Pink Pink Red Red Red Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Brown Brown Brown Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, 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 Gray Gray Gray Black Gray Gray Gray Red\nRed Gray Gray Gray Black Gray Gray Gray Red\nRed Gray Gray Gray Gray Gray Gray Gray Red\nRed Black Black Gray Gray Gray Black Black Red\nRed Black Black Gray Black Gray Black Black Red\nRed Black Gray Gray Gray Gray Gray Black Red\nRed Black Black Black Gray Black Black Black Red\nRed Red Red Red Red Red Red Red Red\n\nOutput:\nRed Red Red Red Red Red Red Red Red\nRed Red Red Red Black Black Black Black Red\nRed Red Red Red Black Black Red Black Red\nRed Red Red Red Red Red Red Black Red\nRed Black Black Red Red Black Red Red Red\nRed Red Red Red Red Red Red Black Red\nRed Red Red Red Black Black Red Black Red\nRed Red Red Red Black Black Black Black Red\nRed Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink\nPink Black Black Black Black Red Red Pink\nPink Black Black Black Black Red Red Pink\nPink Black Red Red Red Red Black Pink\nPink Red Red Red Red Red Black Pink\nPink Pink Pink Pink Pink Pink Pink Pink\n\nOutput:\nPink Pink Pink Pink Pink Pink\nPink Pink Pink Black Black Pink\nPink Pink Pink Pink Pink Pink\nPink Black Black Pink Pink Pink\nPink Black Black Pink Pink Pink\nPink Black Black Pink Pink Pink\nPink Black Black Black Pink Pink\nPink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nGray Gray Gray Gray Gray Gray Gray\nGray Green Green Green Black Black Gray\nGray Brown Black Green Brown Black Gray\nGray Black Brown Brown Black Black Gray\nGray Black Black Brown Brown Black Gray\nGray Black Black Black Brown Brown Gray\nGray Gray Gray Gray Gray Gray Gray\n\nOutput:\nGray Gray Gray Gray Gray Gray Gray\nGray Black Black Black Black Gray Gray\nGray Black Gray Black Gray Gray Gray\nGray Gray Gray Gray Gray Black Gray\nGray Gray Black Gray Black Black Gray\nGray Gray Gray Black Black Black Gray\nGray Gray Gray Gray Gray Gray Gray\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Blue Blue Blue Blue Blue Black Blue Blue Pink\nPink Blue Blue Blue Blue Black Blue Blue Blue Pink\nPink Blue Blue Blue Blue Blue Blue Blue Blue Pink\nPink Blue Blue Blue Black Blue Blue Blue Blue Pink\nPink Blue Blue Blue Black Blue Blue Blue Blue Pink\nPink Blue Blue Blue Blue Blue Blue Blue Blue Pink\nPink Blue Blue Blue Blue Black Blue Blue Blue Pink\nPink Blue Blue Blue Blue Blue Black Blue Blue Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Black Pink Pink Pink Pink Pink Pink Black Pink\nPink Pink Black Pink Pink Pink Pink Black Pink Pink\nPink Pink Pink Pink Black Black Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Black Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Black Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Green Black\nBlack Black Black Black Orange Orange Orange Black Black\nBlack Orange Orange Orange Orange Orange Orange 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 Orange Orange Orange Black Black\nOrange Orange Orange Black Orange Orange Orange Green Black\nOrange Orange Orange Black Orange Orange Orange Black Black\nOrange Orange Orange Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Black Black\nBlack Black Yellow Black Black Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Black Black Black Black Yellow Black\nBlack Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black\nBlack Black Green Black Black Orange Orange Orange Black Black\nBlack Orange Orange Orange Black Black Black Black Green Black\nBlack Orange Orange Orange Black Black Black Black Black Black\nBlack Orange Orange Orange Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black\nBlack Black Black Black Orange Orange Orange 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 Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black Black Black\nYellow Black Black Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Black Black Black Black Black Black Black\nOrange Orange Orange Green Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black Black Black\nGreen Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Black Black Black Yellow\nBlack Black Yellow Yellow Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow Yellow Yellow Yellow\nBlack Yellow Black Black Black Yellow Yellow Yellow\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black\nBlack Orange Orange Orange Black Black Black Black\nBlack Orange Orange Orange Green Black Black Black\nBlack Orange Orange Orange Black Black Black Green\nBlack Black Orange Orange Orange Black Black Black\nBlack Black Orange Orange Orange Orange Orange Orange\nGreen Black Orange Orange Orange Orange Orange Orange\nBlack Green Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink 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 Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow 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\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 Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink 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 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 Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by 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 Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Brown Pink Pink Pink Pink Brown Black Black Black\nBlack Black Black Black Brown Pink Pink Pink Pink Brown Black Black Black\nBlack Black Black Black Brown Pink Pink Pink Pink Brown Black Black Black\nBlack Black Black Black Brown Pink Pink Pink Pink Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\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 Pink Pink Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Pink Green Green Green Green Pink Black Black Black\nBlack Black Black Black Pink Green Green Green Green Pink Black Black Black\nBlack Black Black Black Pink Green Green Green Green Pink Black Black Black\nBlack Black Black Black Pink Green Green Green Green Pink Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink 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 Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Yellow Yellow Yellow Yellow Blue Black Black Black Black\nBlack Black Blue Yellow Yellow Yellow Yellow Blue Black Black Black Black\nBlack Black Blue Yellow Yellow Yellow Yellow Blue Black Black Black Black\nBlack Black Blue Yellow Yellow Yellow Yellow Blue Black Black Black Black\nBlack Black Blue Yellow Yellow Yellow Yellow Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Yellow Green Green Green Green Yellow Black Black Black Black\nBlack Black Yellow Green Green Green Green Yellow Black Black Black Black\nBlack Black Yellow Green Green Green Green Yellow Black Black Black Black\nBlack Black Yellow Green Green Green Green Yellow Black Black Black Black\nBlack Black Yellow Green Green Green Green Yellow Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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:\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nYellow Brown Brown Brown Brown Yellow Black Black Black Black Black Black Black Black\nYellow Brown Brown Brown Brown Yellow Black Black Black Black Black Black Black Black\nYellow Brown Brown Brown Brown Yellow Black Black Black Black Black Black Black Black\nYellow Brown Brown Brown Brown Yellow Black Black Black Black Black Black Black Black\nYellow Brown Brown Brown Brown Yellow Black Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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:\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBrown Green Green Green Green Brown Black Black Black Black Black Black Black Black\nBrown Green Green Green Green Brown Black Black Black Black Black Black Black Black\nBrown Green Green Green Green Brown Black Black Black Black Black Black Black Black\nBrown Green Green Green Green Brown Black Black Black Black Black Black Black Black\nBrown Green Green Green Green Brown Black Black Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\nBlack Black Black Black Black Gray Pink Pink Pink Pink Gray Black Black Black\nBlack Black Black Black Black Gray Pink Pink Pink Pink Gray Black Black Black\nBlack Black Black Black Black Gray Pink Pink Pink Pink Gray Black Black Black\nBlack Black Black Black Black Gray Pink Pink Pink Pink Gray Black Black Black\nBlack Black Black Black Black Gray Pink Pink Pink Pink Gray Black Black Black\nBlack Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Pink Pink Black Black Black\nBlack Black Black Black Black Pink Green Green Green Green Pink Black Black Black\nBlack Black Black Black Black Pink Green Green Green Green Pink Black Black Black\nBlack Black Black Black Black Pink Green Green Green Green Pink Black Black Black\nBlack Black Black Black Black Pink Green Green Green Green Pink Black Black Black\nBlack Black Black Black Black Pink Green Green Green Green Pink Black Black Black\nBlack Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow 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\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Blue Black Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Green Pink Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Pink Black Black Blue Black Black Yellow Yellow Yellow Yellow Yellow\nOrange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Yellow Yellow\n\nOutput:\nYellow 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\nYellow 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\nYellow Yellow Yellow Yellow Black Black Blue Black Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Green Pink Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Blue Blue Blue Black Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Pink Black Black Blue Black Black Yellow Yellow Yellow Yellow Yellow\nOrange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Brown Yellow Yellow\n\n\nExample 2\nInput:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Blue Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Blue Blue Blue Black Green Green Green Green\nGreen Green Green Blue Blue Blue Blue Blue Green Red Green Green\nGreen Green Green Black Black Blue Blue Blue Green Green Green Green\nGreen Green Green Blue Blue Blue Blue Blue Green Green Green Green\nGreen Green Orange Black Blue Blue Blue Black Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Yellow\nGreen Green Green Green Blue Green Green Green Green Green Green Green\n\nOutput:\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Blue Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Black Blue Blue Blue Black Green Green Green Green\nGreen Green Green Blue Blue Blue Blue Blue Green Red Green Green\nGreen Green Green Black Black Blue Blue Blue Green Green Green Green\nGreen Green Green Blue Blue Blue Blue Blue Green Green Green Green\nGreen Green Orange Black Blue Blue Blue Black Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Yellow Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Blue Green Green Green Green Green Yellow\nGreen Green Green Green Blue Green Green Green Green Green Green Green\n\n\nExample 3\nInput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Green Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Blue Blue Blue Black Blue Gray Red Red Red\nRed Red Red Red Black Black Blue Blue Blue Red Red Red Red\nRed Red Red Red Black Black Black Blue Blue Red Red Red Red\nRed Red Red Red Black Black Black Blue Blue Red Red Red Red\nRed Red Red Red Black Black Black Blue Black Red Red Red Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nYellow Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\n\nOutput:\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Green Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Blue Blue Blue Black Blue Gray Red Red Red\nRed Red Red Red Black Black Blue Blue Blue Red Red Red Red\nRed Red Red Red Black Black Black Blue Blue Red Red Red Red\nRed Red Red Red Black Black Black Blue Blue Red Red Red Blue\nRed Red Red Red Black Black Black Blue Black Red Red Red Red\nRed Red Yellow Red Red Red Red Red Red Red Red Red Red\nRed Yellow Red Red Red Red Red Red Red Red Red Red Red\nYellow Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red\n\n\nHere is the input grid for the test example:\nInput:\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Black Blue Blue Blue Blue Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Black Black Blue Blue Blue Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Black Black Black Blue Blue Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Pink Brown Brown Brown Brown Brown Brown Brown Brown Brown Blue Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Black Blue Blue Blue Blue Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Black Black Blue Blue Blue Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Black Black Black Blue Blue Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Brown Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBrown Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Green Green Green Green Green Green Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue 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 Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by 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\nBrown Brown Black Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black Black\nGray Gray Black Black Black Orange Orange Black Black Black Black Black Black\nGray Gray Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBrown Brown Black Black Black Black Black Black Black Black Black Black\nBrown Brown Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange 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 Green Green Black Yellow Yellow Brown Brown Black Black\nBlack Black Black Green Green Black Black Black Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Green Green Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Green Green\nBlack Black Green Green\nBlack Black Black Black\nBlack Black Green Green\nBlack Black Green Green\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nBlack Black Black Black\nYellow Yellow Black Black\nYellow Yellow Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Black Black Black Black Black Black Black Black\nPurple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Gray Black 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\nBlack Black Black Black Black Black Black Black Gray Gray\nBlack Black 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 Black Black Black Black Black Black\nGreen Green Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Black Black Black Gray Gray\nGreen Green Black Black Black Gray Gray\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black\nBlack Black Black Yellow Yellow Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Yellow Black Yellow Black Orange Orange Black\nBlack Yellow Yellow Black Black Orange Black Yellow\nBlack Yellow Black Yellow Black Yellow Yellow Black\nYellow Black Yellow Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black\nYellow Yellow Black Yellow Black Orange Black Yellow\nBlack Orange Black Black Black Yellow Black Yellow\nBlack Yellow Orange Black Black Black Black Black\n\nOutput:\nBlack Yellow Black Orange Black Orange Orange Black\nBlack Yellow Yellow Black Black Orange Black Orange\nBlack Yellow Black Orange Black Yellow Yellow Black\nOrange Black Orange Black Black Black Black Black\nBlack Yellow Black Yellow Black Black Black Black\nYellow Yellow Black Yellow Black Orange Black Yellow\nBlack Orange Black Black Black Orange Black Yellow\nBlack Orange Orange Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Yellow Black Black Black Black\nYellow Black Black Orange Black Yellow Yellow\nYellow Black Black Orange Black Yellow Black\nOrange Black Black Black Yellow Black Yellow\nBlack Black Black Black Orange Orange Black\nBlack Black Black Black Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Black Black\n\nOutput:\nBlack Black Orange Black Black Black Black\nYellow Black Black Orange Black Yellow Yellow\nYellow Black Black Orange Black Yellow Black\nOrange Black Black Black Orange Black Orange\nBlack Black Black Black Orange Orange Black\nBlack Black Black Black Yellow Black Orange\nYellow Yellow Yellow Yellow Yellow Black Black\n\n\nExample 3\nInput:\nBlack Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Yellow Black Black\nOrange Yellow Black Yellow Black Orange Orange Black Orange\nBlack Black Yellow Black Yellow Black Black Yellow Orange\nBlack Black Yellow Black Black Black Yellow Black Orange\nBlack Black Black Black Black Yellow Black Black Yellow\nBlack Black Yellow Orange Black Yellow Black Black Yellow\n\nOutput:\nBlack Yellow Black Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Orange Black Black\nOrange Yellow Black Yellow Black Orange Orange Black Orange\nBlack Black Yellow Black Orange Black Black Orange Orange\nBlack Black Yellow Black Black Black Orange Black Orange\nBlack Black Black Black Black Yellow Black Black Yellow\nBlack Black Orange Orange Black Yellow Black Black Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Yellow Black Yellow Yellow Black Yellow Yellow\nYellow Black Yellow Black Black Yellow Black Black Orange\nOrange Yellow Black Yellow Black Black Black Yellow Orange\nYellow Yellow Black Yellow Yellow Black Yellow Black Orange\nBlack Black Black Black Black Black Black Orange Yellow\nBlack Yellow Black Black Orange Black Black Black Orange\nYellow Black Black Yellow Yellow Black Black Black Black\nBlack Yellow Black Yellow Black Orange Black Black Black\nBlack Black Yellow Black Black Black Yellow Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Yellow Black Yellow Yellow Black Yellow Yellow\nOrange Black Yellow Black Black Yellow Black Black Orange\nOrange Yellow Black Yellow Black Black Black Orange Orange\nYellow Yellow Black Yellow Yellow Black Orange Black Orange\nBlack Black Black Black Black Black Black Orange Orange\nBlack Orange Black Black Orange Black Black Black Orange\nOrange Black Black Yellow Yellow Black Black Black Black\nBlack Orange Black Yellow Black Orange Black Black Black\nBlack Black Orange Black Black Black Orange Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\n\nOutput:\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\nYellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black Yellow Yellow Black Black\n\n\nExample 2\nInput:\nGreen Green Green Green Black Black Green Green Green Green\nGreen Green Green Green Black Black Green Green Green Green\nGreen Green Green Green Black Black Green Green Green Green\nGreen Green Green Green Black Black Green Green Green Green\nGreen Green Green Green Black Black Green Green Green Green\nGreen Green Green Green Black Black Green Green Green Green\nBlack Black Green Green Black Black Green Green Black Black\nBlack Black Green Green Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black\n\nOutput:\nGreen Green Green Green Black Black Green Green Green Green Black Black Black Black Green Green Black Black Black Black\nGreen Green Green Green Black Black Green Green Green Green Black Black Black Black Green Green Black Black Black Black\nGreen Green Green Green Black Black Green Green Green Green Black Black Green Green Black Black Green Green Black Black\nGreen Green Green Green Black Black Green Green Green Green Black Black Green Green Black Black Green Green Black Black\nGreen Green Green Green Black Black Green Green Green Green Green Green Green Green Black Black Green Green Green Green\nGreen Green Green Green Black Black Green Green Green Green Green Green Green Green Black Black Green Green Green Green\nBlack Black Green Green Black Black Green Green Black Black Green Green Green Green Black Black Green Green Green Green\nBlack Black Green Green Black Black Green Green Black Black Green Green Green Green Black Black Green Green Green Green\nBlack Black Black Black Green Green Black Black Black Black Green Green Green Green Black Black Green Green Green Green\nBlack Black Black Black Green Green Black Black Black Black Green Green Green Green Black Black Green Green Green Green\n\n\nExample 3\nInput:\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Black Black Green Green Black Black Green Green\nGreen Green Black Black Green Green Black Black Green Green\nGreen Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green\nBlack Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black\n\nOutput:\nBlack Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Black Black Green Green Black Black Green Green Green Green Black Black Green Green Black Black Green Green\nGreen Green Black Black Green Green Black Black Green Green Green Green Black Black Green Green Black Black Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green Green\nBlack Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black\nBlack Black Green Green Green Green Green Green Black Black Black Black Green Green Green Green Green Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Gray Gray Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlack Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Gray Gray Black Black Gray Gray Black Black Black Black Black Black Gray Gray Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Red Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Black Black\nBlack Black Black Black Black Black Black Black\nBlack Blue Blue Black Black Black Black Blue\nBlack Black Blue Blue Black Black Black Black\n\nOutput:\nBlack Green Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black\nBlack Yellow Yellow Black Black Black Black Yellow\nBlack Black Yellow Yellow Black Black Black Black\n\n\nExample 2\nInput:\nYellow Blue Red Blue Green Black Black\nBlack Black Black Black Green Black Black\nBlack Black Black Black Black Yellow Black\nGreen Black Yellow Yellow Black Black Black\nGreen Black Black Black Black Black Blue\nYellow Black Black Red Blue Black Black\nBlack Black Red Black Blue Black Black\n\nOutput:\nRed Yellow Green Yellow Blue Black Black\nBlack Black Black Black Blue Black Black\nBlack Black Black Black Black Red Black\nBlue Black Red Red Black Black Black\nBlue Black Black Black Black Black Yellow\nRed Black Black Green Yellow Black Black\nBlack Black Green Black Yellow Black Black\n\n\nExample 3\nInput:\nBlue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Green\nBlack Red Black Black Black Black Black Green Black\nBlack Black Blue Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Green Black Black Green Black Black Black Black\n\nOutput:\nYellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Black Blue\nBlack Green Black Black Black Black Black Blue Black\nBlack Black Yellow Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Blue Black Black Blue Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Yellow Red Black Black Black\nBlack Yellow Black Red Black Red Black Black Black\nBlack Black Green Black Blue Black Red Black Black\nBlack Black Green Black Black Black Black Black Green\nBlack Black Black Red Green Black Green Blue Green\nGreen Black Black Yellow Yellow Black Black Black Black\nBlack Yellow Black Green Black Yellow Green Black Black\nBlue Black Red Black Black Black Green Black Green\nBlack Black Red Black Blue Yellow Green Black Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Red Green Black Black Black\nBlack Red Black Green Black Green Black Black Black\nBlack Black Blue Black Yellow Black Green Black Black\nBlack Black Blue Black Black Black Black Black Blue\nBlack Black Black Green Blue Black Blue Yellow Blue\nBlue Black Black Red Red Black Black Black Black\nBlack Red Black Blue Black Red Blue Black Black\nYellow Black Green Black Black Black Blue Black Blue\nBlack Black Green Black Yellow Red Blue Black Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Pink Pink Black Pink Pink Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Black Pink Pink Pink Pink Black Pink\nPink Pink Black Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Black Pink\nBlack Black Black Black Pink Pink Black Black Black Pink Pink Pink Black Pink Pink Black Pink Pink Pink Black\nPink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink Pink Pink Black Pink\nPink Pink Black Pink Pink Pink Pink Pink Black Pink Pink Black Pink Pink Black Pink Black Black Pink Pink\nPink Pink Black Pink Black Pink Pink Black Pink Pink Black Pink Pink Black Pink Pink Black Black Pink Pink\nPink Pink Pink Pink Black Pink Pink Black Pink Black Black Black Pink Pink Black Pink Black Pink Pink Black\nPink Black Black Pink Black Black Pink Black Black Pink Pink Pink Pink Black Pink Black Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Pink Pink Red Red Red Red Pink Black Pink Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Black Pink Black Red Red Red Red Pink Black Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Black Black Pink Black Red Red Red Red Black Pink Pink Pink Black Pink\nPink Pink Pink Pink Black Pink Pink Black Pink Pink Red Red Red Red Pink Pink Black Pink Pink Pink\nPink Black Pink Black Pink Pink Pink Black Pink Pink Black Black Pink Pink Pink Pink Black Pink Pink Pink\nPink Pink Black Pink Pink Pink Black Pink Pink Pink Pink Black Pink Pink Pink Black Black Pink Black Pink\nPink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Pink Black Pink Pink Pink Black\nPink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Black\nPink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Black Pink Black Pink Pink Pink\nPink Black Pink Pink Black Pink Black Pink Pink Pink Pink Black Pink Pink Pink Pink Black Black Pink Pink\nPink Black Pink Pink Pink Black Pink Pink Black Pink Pink Pink Pink Black Pink Black Black Black Pink Black\n\nOutput:\nBlack Pink Pink Black Pink Pink Black Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Black\nBlack Pink Black Pink Pink Pink Pink Pink Black Pink Pink Pink Pink Black Pink Pink Pink Pink Black Pink\nPink Pink Black Pink Pink Pink Black Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Black Pink\nBlack Black Black Black Pink Pink Black Black Black Pink Pink Pink Black Pink Pink Black Pink Pink Pink Black\nPink Black Pink Pink Pink Pink Pink Pink Pink Black Pink Black Pink Pink Pink Pink Pink Pink Black Pink\nPink Pink Black Pink Pink Pink Pink Pink Black Pink Pink Black Pink Pink Black Pink Black Black Pink Pink\nPink Pink Black Pink Black Pink Pink Black Pink Pink Black Pink Pink Black Pink Pink Black Black Pink Pink\nPink Pink Pink Pink Black Pink Pink Black Pink Black Black Black Pink Pink Black Pink Black Pink Pink Black\nPink Black Black Pink Black Black Pink Black Black Pink Pink Pink Pink Black Pink Black Pink Black Pink Pink\nPink Pink Pink Pink Pink Pink Black Black Pink Pink Yellow Yellow Yellow Yellow Pink Black Pink Black Black Pink\nPink Pink Pink Pink Pink Pink Pink Black Pink Black Yellow Yellow Yellow Yellow Pink Black Pink Pink Pink Pink\nBlack Pink Pink Pink Pink Pink Black Black Pink Black Yellow Yellow Yellow Yellow Black Pink Pink Pink Black Pink\nPink Pink Pink Pink Black Pink Pink Black Pink Pink Yellow Yellow Yellow Yellow Pink Pink Black Pink Pink Pink\nPink Black Pink Black Pink Pink Pink Black Pink Pink Black Black Pink Pink Pink Pink Black Pink Pink Pink\nPink Pink Black Pink Pink Pink Black Pink Pink Pink Pink Black Pink Pink Pink Black Black Pink Black Pink\nPink Pink Pink Pink Pink Black Black Black Black Pink Pink Pink Pink Black Pink Black Pink Pink Pink Black\nPink Pink Pink Pink Pink Black Black Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Black Pink Black\nPink Pink Pink Pink Pink Pink Pink Black Black Black Pink Pink Pink Pink Black Pink Black Pink Pink Pink\nPink Black Pink Pink Black Pink Black Pink Pink Pink Pink Black Pink Pink Pink Pink Black Black Pink Pink\nPink Black Pink Pink Pink Black Pink Pink Black Pink Pink Pink Pink Black Pink Black Black Black Pink Black\n\n\nExample 2\nInput:\nBlue Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Blue Black Blue Blue Black\nBlue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Black Blue Blue Black Blue Black Blue\nBlue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Black Blue Black Blue Blue Blue Blue Black Blue\nBlue Blue Blue Blue Black Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black Blue Black Blue\nBlue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Blue Blue\nBlue Black Black Black Black Black Black Blue Black Black Black Blue Blue Blue Blue Blue Black Blue Blue Blue\nBlue Black Blue Blue Blue Blue Blue Black Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Black\nBlue Black Blue Blue Blue Black Black Blue Blue Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue\nBlue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Blue Blue Black\nBlue Blue Blue Black Blue Black Black Blue Black Blue Blue Blue Black Black Blue Blue Blue Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Black Blue Black Blue Black Black Blue Blue Black Black Black Blue Black\nBlue Blue Blue Blue Black Blue Blue Black Blue Black Black Blue Blue Blue Blue Black Black Blue Black Blue\nBlack Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue\nBlue Blue Black Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Black Blue Black Black Blue Blue\nBlack Blue Blue Blue Blue Black Black Blue Black Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue\nRed Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue\nRed Red Red Red Black Blue Blue Blue Blue Blue Blue Black Blue Black Blue Black Blue Black Black Black\nRed Red Red Red Black Black Blue Black Black Blue Black Blue Blue Blue Blue Blue Blue Black Blue Black\nRed Red Red Red Blue Blue Black Blue Blue Blue Blue Black Blue Blue Black Blue Blue Black Black Blue\nBlack Blue Blue Blue Blue Black Blue Blue Blue Black Blue Black Blue Blue Blue Blue Black Black Black Black\n\nOutput:\nBlue Black Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Blue Black Blue Blue Black\nBlue Blue Blue Blue Black Blue Blue Blue Black Blue Blue Blue Blue Black Blue Blue Black Blue Black Blue\nBlue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Black Blue Black Blue Blue Blue Blue Black Blue\nBlue Blue Blue Blue Black Blue Blue Black Black Blue Blue Black Black Blue Blue Black Black Blue Black Blue\nBlue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Black Blue Blue\nBlue Black Black Black Black Black Black Blue Black Black Black Blue Blue Blue Blue Blue Black Blue Blue Blue\nBlue Black Blue Blue Blue Blue Blue Black Blue Blue Black Black Blue Blue Blue Blue Blue Black Black Black\nBlue Black Blue Blue Blue Black Black Blue Blue Black Blue Blue Blue Blue Blue Black Black Blue Blue Blue\nBlue Blue Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Black Blue Blue Black\nBlue Blue Blue Black Blue Black Black Blue Black Blue Blue Blue Black Black Blue Blue Blue Black Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Black Blue Black Blue Black Black Blue Blue Black Black Black Blue Black\nBlue Blue Blue Blue Black Blue Blue Black Blue Black Black Blue Blue Blue Blue Black Black Blue Black Blue\nBlack Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Black Black Blue Blue Blue Blue Blue\nBlue Blue Black Blue Black Black Blue Blue Blue Blue Black Black Blue Blue Black Blue Black Black Blue Blue\nBlack Blue Blue Blue Blue Black Black Blue Black Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Black Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Black Blue Blue Blue Blue Blue Blue Black Blue Black Blue Black Blue Black Black Black\nYellow Yellow Yellow Yellow Black Black Blue Black Black Blue Black Blue Blue Blue Blue Blue Blue Black Blue Black\nYellow Yellow Yellow Yellow Blue Blue Black Blue Blue Blue Blue Black Blue Blue Black Blue Blue Black Black Blue\nBlack Blue Blue Blue Blue Black Blue Blue Blue Black Blue Black Blue Blue Blue Blue Black Black Black Black\n\n\nExample 3\nInput:\nOrange Black Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Red Red Red Red\nOrange Black Black Black Orange Black Black Orange Orange Orange Black Black Orange Orange Orange Orange Red Red Red Red\nBlack Orange Black Orange Black Black Orange Orange Orange Orange Orange Black Orange Orange Black Black Red Red Red Red\nBlack Black Orange Orange Orange Orange Orange Orange Orange Black Black Orange Orange Black Orange Black Red Red Red Red\nBlack Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Black Orange Orange\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Orange Orange\nOrange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Black Orange Orange Orange Black Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Orange Black Orange Black Orange Orange Black Black\nOrange Black Orange Orange Black Black Black Orange Orange Orange Orange Orange Black Orange Black Black Black Orange Orange Orange\nOrange Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black Black Orange Black Orange Orange Orange Orange Black\nOrange Orange Orange Orange Black Black Black Orange Orange Black Orange Orange Orange Orange Black Black Orange Black Black Orange\nOrange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Black Orange Orange\nOrange Orange Black Black Orange Black Orange Black Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Black Orange Black Black Orange\nOrange Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Orange Black Black Orange Orange Black Black\nOrange Orange Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Orange Black Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange\nOrange Black Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Black Orange Orange Black\nBlack Black Orange Black Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Black Black Orange\n\nOutput:\nOrange Black Orange Orange Black Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Yellow Yellow Yellow Yellow\nOrange Black Black Black Orange Black Black Orange Orange Orange Black Black Orange Orange Orange Orange Yellow Yellow Yellow Yellow\nBlack Orange Black Orange Black Black Orange Orange Orange Orange Orange Black Orange Orange Black Black Yellow Yellow Yellow Yellow\nBlack Black Orange Orange Orange Orange Orange Orange Orange Black Black Orange Orange Black Orange Black Yellow Yellow Yellow Yellow\nBlack Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Black Orange Orange\nOrange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Black Orange Orange Orange\nOrange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Black Orange Orange Orange Black Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Orange Black Orange Orange Black Orange Orange Black Orange Black Orange Orange Black Black\nOrange Black Orange Orange Black Black Black Orange Orange Orange Orange Orange Black Orange Black Black Black Orange Orange Orange\nOrange Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black Black Orange Black Orange Orange Orange Orange Black\nOrange Orange Orange Orange Black Black Black Orange Orange Black Orange Orange Orange Orange Black Black Orange Black Black Orange\nOrange Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Black Orange Orange\nOrange Orange Black Black Orange Black Orange Black Orange Orange Orange Orange Orange Orange Black Orange Black Orange Orange Black\nOrange Orange Orange Orange Orange Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Black Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Black Orange Black Black Orange\nOrange Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Orange Black Black Orange Orange Black Black\nOrange Orange Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Black Black Orange Black Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange Orange\nOrange Black Orange Black Black Orange Orange Orange Orange Orange Orange Black Black Orange Orange Orange Black Orange Orange Black\nBlack Black Orange Black Orange Orange Orange Orange Orange Black Black Black Orange Orange Orange Orange Orange Black Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Brown Brown Brown Brown Brown Black Brown Black Brown Black Red Red Red Red Brown Black Black Brown Brown\nBlack Brown Brown Black Brown Black Black Brown Brown Black Brown Red Red Red Red Black Brown Brown Black Black\nBrown Brown Brown Brown Brown Black Brown Brown Black Brown Brown Red Red Red Red Brown Brown Brown Black Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Red Red Red Red Brown Black Brown Brown Black\nBrown Brown Brown Black Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown\nBrown Black Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Black Brown Brown Brown Black Brown Black Black Brown Brown Black Brown Black Black Black\nBrown Black Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Black Brown Brown Black Brown Brown Black\nBlack Brown Black Brown Brown Brown Black Black Brown Black Brown Black Brown Brown Brown Black Brown Black Black Brown\nBrown Brown Black Black Black Brown Brown Brown Black Brown Brown Brown Brown Brown Black Brown Brown Brown Black Black\nBrown Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Black Brown Black Brown Brown Brown Brown\nBrown Brown Brown Black Brown Brown Brown Brown Red Red Red Red Black Brown Brown Brown Black Black Brown Brown\nBlack Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Brown Black Black Brown Black Black Black Red Red Red Red Brown Brown Black Brown Brown Black Brown Brown\nBlack Brown Black Brown Brown Brown Brown Black Red Red Red Red Brown Brown Brown Brown Brown Brown Black Brown\nBrown Brown Black Brown Brown Brown Brown Brown Brown Black Brown Black Brown Brown Black Brown Brown Brown Brown Black\nBrown Black Black Brown Brown Brown Brown Brown Brown Black Brown Black Brown Black Black Brown Brown Black Black Brown\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Black Black Brown\nBrown Brown Brown Brown Black Brown Black Brown Black Brown Black Brown Brown Brown Black Brown Brown Brown Brown Brown\nBrown Black Brown Black Brown Black Brown Brown Black Brown Black Black Black Brown Brown Brown Black Brown Brown Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Brown Brown Brown Brown Brown Black Brown Black Brown Black Yellow Yellow Yellow Yellow Brown Black Black Brown Brown\nBlack Brown Brown Black Brown Black Black Brown Brown Black Brown Yellow Yellow Yellow Yellow Black Brown Brown Black Black\nBrown Brown Brown Brown Brown Black Brown Brown Black Brown Brown Yellow Yellow Yellow Yellow Brown Brown Brown Black Brown\nBrown Brown Brown Brown Black Black Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Brown Black Brown Brown Black\nBrown Brown Brown Black Brown Brown Brown Black Black Brown Brown Brown Brown Black Black Brown Brown Brown Brown Brown\nBrown Black Brown Brown Brown Brown Black Black Black Brown Brown Brown Black Black Brown Brown Brown Brown Brown Brown\nBrown Brown Brown Brown Brown Black Brown Brown Brown Black Brown Black Black Brown Brown Black Brown Black Black Black\nBrown Black Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Black Brown Brown Black Brown Brown Black\nBlack Brown Black Brown Brown Brown Black Black Brown Black Brown Black Brown Brown Brown Black Brown Black Black Brown\nBrown Brown Black Black Black Brown Brown Brown Black Brown Brown Brown Brown Brown Black Brown Brown Brown Black Black\nBrown Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Black Brown Black Brown Black Brown Brown Brown Brown\nBrown Brown Brown Black Brown Brown Brown Brown Red Red Red Red Black Brown Brown Brown Black Black Brown Brown\nBlack Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Brown Black Black Brown Black Black Black Red Red Red Red Brown Brown Black Brown Brown Black Brown Brown\nBlack Brown Black Brown Brown Brown Brown Black Red Red Red Red Brown Brown Brown Brown Brown Brown Black Brown\nBrown Brown Black Brown Brown Brown Brown Brown Brown Black Brown Black Brown Brown Black Brown Brown Brown Brown Black\nBrown Black Black Brown Brown Brown Brown Brown Brown Black Brown Black Brown Black Black Brown Brown Black Black Brown\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Black Black Black Brown Brown Brown Brown Black Black Brown\nBrown Brown Brown Brown Black Brown Black Brown Black Brown Black Brown Brown Brown Black Brown Brown Brown Brown Brown\nBrown Black Brown Black Brown Black Brown Brown Black Brown Black Black Black Brown Brown Brown Black Brown Brown Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Green Green Black Black Green Green Black Black\nBlack Black Green Green Green Black Green Black Black Black\nBlack Black Green Green Black Black Green Green Black Black\nGreen Black Black Green Green Black Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Green\nBlack Black Black Green Green Black Black Black Black Green\nBlack Black Black Black Black Green Green Black Black Black\nBlack Black Black Green Green Black Green Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Black Yellow Black Black Black\nBlack Black Yellow Yellow Black Black Yellow Yellow Black Black\nGreen Black Black Yellow Yellow Black Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Green Green\nBlack Black Black Green Green Black Black Black Black Green\nBlack Black Black Black Black Green Green Black Black Black\nBlack Black Black Green Green Black Green Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Green Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black\nGreen Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Green\nGreen Black Black Black Green Black Black Green Green Black\nBlack Green Green Black Green Green Black Green Green Black\nGreen Green Black Green Black Green Green Green Green Black\nBlack Black Black Black Black Green Black Green Green Black\nBlack Black Black Black Green Green Green Green Black Green\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Green Black Black Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Black\nGreen Black Green Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Green Black Black Green\nGreen Black Black Black Yellow Black Black Yellow Yellow Black\nBlack Green Green Black Yellow Yellow Black Yellow Yellow Black\nGreen Green Black Green Black Yellow Yellow Yellow Yellow Black\nBlack Black Black Black Black Yellow Black Yellow Yellow Black\nBlack Black Black Black Green Yellow Yellow Green Black Green\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nGreen Black Green Black 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\nGreen Green Black Green Black Black Black Black Black Black\nGreen Black Black Black Black Black Green Black Black Black\nGreen Green Black Black Green Black Black Black Black Black\nBlack Black Green Green Black Green Black Black Black Black\nGreen Black Green Black Black Green Green Green Black Black\nBlack Black Black Green Green Black Green Black Black Green\nBlack Green Black Black Black Black Green Green Black Green\n\nOutput:\nGreen Black Green Black 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\nYellow Yellow Black Green Black Black Black Black Black Black\nYellow Black Black Black Black Black Green Black Black Black\nYellow Yellow Black Black Green Black Black Black Black Black\nBlack Black Green Green Black Green Black Black Black Black\nGreen Black Green Black Black Green Yellow Yellow Black Black\nBlack Black Black Green Green Black Yellow Black Black Green\nBlack Green Black Black Black Black Yellow Yellow Black Green\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Green Black Black Black\nGreen Green Black Black Green Green Green Black Black Black\nGreen Black Black Black Black Green Green Green Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Green Green Black\nBlack Black Black Black Black Green Black Black Black Green\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Yellow Yellow Black Black Black\nGreen Green Black Black Green Yellow Green Black Black Black\nGreen Black Black Black Black Yellow Yellow Green Black Black\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Green Green Black\nBlack Black Black Black Black Green Black Black Black Green\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Blue\nBlack Black Black Black Black Black Black Black Black Green Blue\nBlack Black Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Orange Black Blue Black Black\nBlack Black Black Black Black Black Orange Blue Blue Black Black\nBlack Black Black Black Black Black Orange Orange Orange Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Green Blue\nGreen Green Black Black Black Black Black Black Green Blue\nBlack Green Black Black Black Black Black Black Blue Black\nBlack Green Green Black Black Black Black Blue Blue Black\nBlack Black Green Black Black Black Black Blue Black Black\nBlack Black Green Black Green Orange Black Blue Black Black\nBlack Black Green Green Green Orange Blue Blue Black Black\nBlack Black Green Green Green Orange Orange Orange Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Brown Black Black Brown\nBlack Black Black Black Blue Gray Gray Blue\nBlack Black Black Black Blue Yellow Yellow Blue\nBlack Black Black Black Pink Blue Blue Pink\nBlack Black Black Black Purple Purple Purple Purple\nBlack Black Black Black Red Pink Pink Red\nBlack Black Black Black Red Purple Purple Red\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\nGreen Black Black Green Brown Black Black Brown\nGreen Green Green Green Blue Gray Gray Blue\nGreen Green Green Green Blue Yellow Yellow Blue\nGreen Green Green Green Pink Blue Blue Pink\nGreen Green Green Green Purple Purple Purple Purple\nGreen Green Green Green Red Pink Pink Red\nGreen Green Green Green Red Purple Purple Red\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 Red Orange Red Orange\nBlack Black Black Black Red Pink Red Green\nBlack Black Black Black Gray Blue Yellow Yellow\nBlack Black Black Black Orange Blue Orange Yellow\nBlack Black Black Black Black Red Green Purple\nBlack Black Black Black Orange Blue Orange Yellow\nBlack Black Black Black Gray Blue Yellow Yellow\nBlack Black Black Black Red Pink Red Green\nBlack Black Black Black Red Orange Red Orange\nBlack Black Black Black Black Black Black Black\n\nOutput:\nGreen Green Green Green Red Orange Red Orange\nGreen Green Green Green Red Pink Red Green\nGreen Green Green Green Gray Blue Yellow Yellow\nGreen Green Green Green Orange Blue Orange Yellow\nGreen Green Green Black Black Red Green Purple\nGreen Green Green Green Orange Blue Orange Yellow\nGreen Green Green Green Gray Blue Yellow Yellow\nGreen Green Green Green Red Pink Red Green\nGreen Green Green Green Red Orange Red Orange\nBlack Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Red Yellow Black Purple Purple\nBlack Black Black Black Black Brown Blue Blue Purple Blue\nBlack Black Black Black Black Pink Green Yellow Gray Blue\nBlack Black Black Black Black Gray Black Black Green Black\nBlack Black Black Black Black Blue Blue Black Blue Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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```\nGreen Green Black Green Green Red Yellow Black Purple Purple\nGreen Green Green Green Green Brown Blue Blue Purple Blue\nGreen Green Green Green Green Pink Green Yellow Gray Blue\nBlack Green Black Black Green Gray Black Black Green Black\nBlack Green Black Green Green Blue Blue Black Blue Black\nBlack Green Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Brown Black Black Black Black Purple Purple Black\nBlack Black Black Black Black Black Pink Pink Pink Purple Purple Black\nBlack Black Black Black Black Black Black Pink Pink Black Black Black\nGray Gray Gray Black Black Black Black Black Black Black Black Black\nGray Gray Gray Pink Pink Black Yellow Black Black Black Black Black\nGray Gray Gray Pink Pink Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink 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 Blue Black Black Black Black Blue Blue Black\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Blue Black Black Black Black Black\nBlue Blue Blue Blue Blue Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue 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 Pink Black\nBlack Black Black Black Black Blue Blue Red Red Black\nBlack Black Black Black Green Gray Blue Red Red Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Blue Blue Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Black Black Yellow Black\nBlack Black Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Black\nBlack Black Red Red Red Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Black Blue Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Blue 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\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 Brown Brown Black Black\nGray Gray Black Black Black Brown Brown Black Black\nBrown Brown Brown Black Gray Green Green Black Black\nBrown Brown Brown Black Black Green Green Black Black\nBrown Brown Brown Black Black Black Black Black Black\nBlack Black Black 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 Blue Blue Black Black\nBlue Blue Black Black Black Blue Blue Black Black\nBlue Blue Blue Black Blue Blue Blue Black Black\nBlue Blue Blue Black Black Blue Blue Black Black\nBlue Blue Blue Black Black Black Black Black Black\nBlack Black Black 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\nBlack Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray 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 Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Black Black Black\nGray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Black Black Gray Gray Gray\nGray Gray Gray Black Black Gray Gray Gray\nBlack Black Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray Black Black Black\nBlack Black Gray Gray Gray 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 Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Blue Blue Blue\nBlue Blue Blue Black Black Black Black Black Blue Blue Blue\nBlack Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black Black\nBlack Black Black Blue Blue 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 Red Red Red Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nRed Red Red Black Black Black Black Black Red Red Red\nRed Red Red Black Black Black Black Black Red Red Red\nRed Red Red Red Red Red Black Black Red Red Red\nBlack Black Black Red Red Red Black Black Black Black Black\nBlack Black Black Red Red Red Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Orange 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Black Black\nOrange Orange Orange Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Orange Orange Orange\nOrange Orange Orange Black Black Black Orange Orange Orange\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Black Black\nBlack Black Black Black Orange Orange Orange Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Brown Brown Brown Black Black\nBlack Black Purple Purple Purple Purple Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Black 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 Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Brown Brown Brown Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Brown Brown Brown Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Brown Brown Brown Black Black\nBlack Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Red Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Red Red Red Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Red Red Red Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Blue Black Orange Orange\nBlack Black Black Black Black Black Black Blue Blue Blue Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Red Red Red Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Red Red Red Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Red Red Red Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Red Red Red Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Orange Orange\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Green Green Green Green Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBlack 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 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 Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Green Green Green Green Green Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Brown Brown Brown Black Black Gray Gray Gray Black Black Black Black Black\nBlack Brown Brown Brown Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Pink Pink Black\nBlack Black Black Black Black Black Brown Brown Brown Black Pink Pink Pink 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 Brown Brown Brown Black Black Gray Gray Gray Black Black Black Black Black\nBlack Brown Brown Brown Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Gray Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Pink Pink Black\nBlack 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by 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 Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Blue Blue Blue Blue Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black Black Black Black\nBlack Black Black Blue Blue Blue Blue Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Black Black Black Black Black\nBlack Black Black Orange Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Red Black Black Purple Purple Black Red Black\nBlack Black Black Black Red Red Red Green Purple Purple Purple Black Black\nBlack Yellow Pink Black Black Red Black Black Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Pink Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Green Black\nBlack Black Black Black Brown Black Brown Brown Black Black Black Black Black\nBlack Yellow Black Black Brown Green Brown Brown Black Purple Purple Purple Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Purple Black\nBlack Purple Black Black Black Black Black Black Orange Blue Black Purple Black\nBlack Black Red Red Black Black Black Black Black Black Black Purple Black\nBlack Black Black Black Black Black Black Black Black Black Red Black Black\nBrown Green Black Brown Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Green Green Black Black Black Black Black Black\nBlack Pink Black Green Green Green Black Black Black Black Black Black Brown\nBlack Black Black Green Black Green Green Black Black Black Purple Black Black\nRed Yellow Gray Purple Black Black Black Black Black Black Black Black Purple\n\nOutput:\nBlack Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Black Brown Brown Brown Brown Purple Purple Brown Black Black\nBlack Brown Brown Black Brown Brown Brown Brown Purple Purple Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Brown Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black Black\nBlack Brown Black Black Brown Brown Brown Brown Black Brown Brown Brown Black\nBlack Black Black Black Brown Brown Brown Brown Black Brown Brown Brown Black\nBlack Brown Black Black Black Black Black Black Brown Brown Brown Brown Black\nBlack Black Brown Brown Black Black Black Black Black Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black\nBrown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Brown\nBrown Brown Brown Brown Brown Brown Brown Black Black Black Brown Black Black\nBrown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Brown\n\n\nExample 2\nInput:\nBlack Black Blue Black Black Black Black Black Black Black Black Black\nBlack Brown Black Blue Black Pink Gray Yellow Black Black Black Black\nBlack Black Black Black Yellow Pink Blue Black Black Black Black Black\nBlue Black Black Black Pink Pink Pink Black Black Black Brown Black\nBlack Black Black Black Black Pink Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Black Red Black Red Gray\nGreen Black Black Blue Blue Blue Green Black Red Red Red Black\nPurple Black Black Blue Blue Blue Purple Black Black Red Black Black\nBlack Black Black Blue Black Blue Black Black Blue Black Red Black\nBlack Black Black Blue Green Blue Black Black Black Pink Black Yellow\nBlack Black Black Black Black Black Black Black Green Green Pink Black\nBlack Black Orange Black Purple Black Purple Green Green Black Black Black\nYellow Blue Black Purple Purple Purple Black Green Green Black Black Black\nGray Black Black Purple Purple Purple Black Black Green Green Black Black\nBlack Black Black Black Black Black Orange Black Black Gray Black Black\n\nOutput:\nBlack Black Brown Black Black Black Black Black Black Black Black Black\nBlack Brown Black Brown Brown Brown Brown Brown Black Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black Black Black\nBrown Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Black Black Brown Brown Brown Brown\nBrown Black Black Brown Brown Brown Brown Black Brown Brown Brown Brown\nBrown Black Black Brown Brown Brown Brown Black Brown Brown Brown Brown\nBlack Black Black Brown Brown Brown Brown Black Brown Black Brown Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Black\nBrown Brown Black Brown Brown Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Pink Black Black Green Black Black Black Black\nBlack Blue Black Black Black Black Orange Orange Orange Black Brown Black\nBlack Purple Black Black Black Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Brown Orange Black Black Purple Orange\nBlack Black Brown Gray Gray Black Black Black Black Black Green Black\nBlack Black Gray Gray Gray Black Black Black Black Gray Black Black\nPurple Black Gray Gray Gray Orange Green Green Green Gray Black Black\nBlack Yellow Black Gray Gray Black Green Green Black Black Black Black\nBlack Black Black Black Black Green Green Green Black Black Black Black\nOrange Black Black Black Black Pink Green Green Green Black Black Black\nBlack Black Green Black Black Red Black Black Black Black Black Black\nBlack Black Black Purple Black Yellow Purple Black Black Black Black Black\nBlack Black Pink Black Brown Black Black Black Black Black Black Black\nBlack Black Green Black Purple Black Orange Pink Black Yellow Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Brown Black Black Black\nBlack Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Brown Black Black Black Brown Brown Brown Brown Black Brown Black\nBlack Brown Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Brown Brown\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBrown Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBrown Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Brown Black Red Black Brown Brown Brown Black Black\nBlack Black Brown Brown Black Yellow Purple Brown Brown Brown Black Black\nBlack Black Brown Black Brown Black Black Black Black Black Black Black\nBlack Black Brown Black Brown Black Brown Brown Black Brown 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 Blue Black Black Brown Black Brown Brown Brown Brown Black Black Black\nGreen Orange Black Black Black Black Black Black Brown Brown Black Black Black Black\nBlack Orange Orange Orange Black Black Black Brown Brown Brown Brown Black Orange Black\nBlack Black Black Orange Black Black Black Black Black Black Red Black Black Black\nBlack Black Black Orange Black Black Gray Black Black Black Black Yellow Black Black\nBlack Black Purple Black Black Black Black Black Black Yellow Yellow Brown Black Black\nBlue Black Black Orange Black Black Black Black Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black\nGray Orange Black Purple Black Purple Black Black Black Blue Purple Red Black Black\nBlack Black Black Black Black Black Red Black Pink Red Red Black Black Black\nBlack Black Black Black Black Orange Red Red Red Red Black Black Black Black\nBlack Blue Black Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Black Black Black Pink Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Black Black Brown Black Brown Brown Brown Brown Black Black Black\nBrown Brown Brown Brown Black Black Black Brown Brown Brown Brown Black Black Black\nBrown Brown Brown Brown Black Black Black Brown Brown Brown Brown Black Brown Black\nBlack Black Brown Brown Black Black Black Brown Brown Brown Brown Black Black Black\nBrown Black Black Orange Black Black Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Brown Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBrown Black Black Brown Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBrown Brown Black Brown Black Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Brown Black Black Black Brown Brown Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Brown Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nRed Black Red Black Blue Blue Black\nBlack Black Blue Green Blue Blue Black\nBlack Black Black Black Black Black Black\nRed Black Black Black Black Black Green\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nRed Black Red Black Yellow Yellow Black\nBlack Black Blue Green Yellow Yellow Black\nBlack Black Black Black Black Black Black\nRed Black Black Black Black Black Green\nBlack Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Green Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Red Yellow Black\nBlack Black Blue Black Black Red Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nGreen Black Black Black Black Yellow Black Black Black\nBlack Green Black Blue Blue Black Blue Green Black\nBlack Black Black Blue Blue Black Red Black Black\n\nOutput:\nBlack Black Black Green Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Red Yellow Black\nBlack Black Blue Black Black Red Black Black Black\nBlack Black Black Black Yellow Black Black Black Black\nGreen Black Black Black Black Yellow Black Black Black\nBlack Green Black Yellow Yellow Black Blue Green Black\nBlack Black Black Yellow Yellow Black Red Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nBlue Blue Black Black Black\nBlue Blue Black Black Green\nBlack Black Black Black Blue\nBlack Black Black Black Green\n\nOutput:\nBlack Black Black Black Black\nBlack Black Black Black Black\nYellow Yellow Black Black Black\nYellow Yellow Black Black Green\nBlack Black Black Black Blue\nBlack Black Black Black Green\n\n\nHere is the input grid for the test example:\nInput:\nGreen Black Black Black Black\nBlack Black Black Black Black\nBlack Green Black Blue Blue\nBlack Black Black Blue Blue\nBlack Green Black Yellow Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Black Black Black Black\nBlack Black Black Black Black\nBlack Green Black Yellow Yellow\nBlack Black Black Yellow Yellow\nBlack Green Black Yellow Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nBlack Black Black Black Black Black Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange 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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Brown Brown Brown Brown Brown Brown Brown Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green Green Orange Orange Orange Orange Brown Brown Orange Orange Gray Gray Black Black\nBlack Black Green Green Green Green Orange Orange Orange Orange Brown Brown Orange Orange Gray Gray Black Black\nRed Red Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Green Green\nRed Red Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Green Green\nPurple Purple Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Green Green\nPurple Purple Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Green Green\nYellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Green Green\nYellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Green Green\nOrange Orange Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple\nOrange Orange Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Purple Purple\nPurple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Blue Blue\nPurple Purple Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Blue Blue\nGray Gray Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Orange Orange\nGray Gray Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Orange Orange\nPink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Green Green\nPink Pink Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Green Green\nBlue Blue Purple Purple Purple Purple Black Black Purple Purple Black Black Black Black Black Black Orange Orange\nBlue Blue Purple Purple Purple Purple Black Black Purple Purple Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange\nBlack Black Pink Pink Brown Brown Purple Purple Gray Gray Pink Pink Orange Orange Brown Brown Black Black\nBlack Black Pink Pink Brown Brown Purple Purple Gray Gray Pink Pink Orange Orange Brown Brown 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 Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple 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 Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Blue Blue Purple Purple Brown Brown Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Black Black\nBlack Black Blue Blue Purple Purple Brown Brown Gray Gray Brown Brown Brown Brown Purple Purple Purple Purple Brown Brown Black Black\nPink Pink Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Yellow Yellow\nPink Pink Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Yellow Yellow\nBrown Brown Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange\nBrown Brown Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Orange Orange\nOrange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Yellow Yellow\nOrange Orange Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Yellow Yellow\nBlue Blue Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Yellow Yellow\nBlue Blue Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Yellow Yellow\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Blue Blue Red Red Green Green Pink Pink Blue Blue Gray Gray Red Red Orange Orange Brown Brown Black Black\nBlack Black Blue Blue Red Red Green Green Pink Pink Blue Blue Gray Gray Red Red Orange Orange Brown Brown 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 Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Pink Pink Blue Blue Purple Purple Yellow Yellow Orange Orange Green Green Purple Purple Blue Blue Black Black\nBlack Black Pink Pink Blue Blue Purple Purple Yellow Yellow Orange Orange Green Green Purple Purple Blue Blue Black Black\nRed Red Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Pink Pink\nRed Red Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Pink Pink\nGray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Gray Gray\nGray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Gray Gray\nOrange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Orange Orange\nOrange Orange Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Orange Orange\nGreen Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Purple Purple\nGreen Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Purple Purple\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Pink Pink\nBrown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Pink Pink\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow\nBlack Black Red Red Green Green Blue Blue Orange Orange Purple Purple Pink Pink Orange Orange Gray Gray Black Black\nBlack Black Red Red Green Green Blue Blue Orange Orange Purple Purple Pink Pink Orange Orange Gray Gray 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 Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Gray Gray Pink Pink Gray Gray Pink Pink Brown Brown Brown Brown Orange Orange Pink Pink Black Black\nBlack Black Gray Gray Pink Pink Gray Gray Pink Pink Brown Brown Brown Brown Orange Orange Pink Pink Black Black\nOrange Orange Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black Purple Purple\nOrange Orange Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black Purple Purple\nOrange Orange Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Red Red\nOrange Orange Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Red Red\nBlue Blue Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Brown Brown\nBlue Blue Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Brown Brown\nYellow Yellow Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink\nYellow Yellow Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Pink Pink\nBrown Brown Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Red Red\nBrown Brown Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Red Red\nPurple Purple Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Blue Blue\nPurple Purple Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Blue Blue\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Gray Gray Green Green Pink Pink Brown Brown Gray Gray Brown Brown Blue Blue Pink Pink Black Black\nBlack Black Gray Gray Green Green Pink Pink Brown Brown Gray Gray Brown Brown Blue Blue Pink Pink Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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:\nGreen Green Red Red Red Red Green Green Blue Blue Blue Blue Red Red Green Green Red Red Red Red Blue Blue Green Green\nGreen Green Red Red Red Red Green Green Blue Blue Blue Blue Red Red Green Green Red Red Red Red Blue Blue Green Green\nBlue Blue Blue Blue Blue Blue Green Green Red Red Green Green Red Red Red Red Green Green Green Green Red Red Blue Blue\nBlue Blue Blue Blue Blue Blue Green Green Red Red Green Green Red Red Red Red Green Green Green Green Red Red Blue Blue\nBlue Blue Blue Blue Blue Blue Green Green Red Red Red Red Blue Blue Green Green Blue Blue Red Red Blue Blue Green Green\nBlue Blue Blue Blue Blue Blue Green Green Red Red Red Red Blue Blue Green Green Blue Blue Red Red Blue Blue Green Green\nRed Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green\nRed Red Red Red Red Red Red Red Red Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green\nRed Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Red Red Blue Blue Red Red Green Green\nRed Red Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Red Red Blue Blue Red Red Green Green\nRed Red Green Green Green Green Blue Blue Green Green Green Green Green Green Red Red Blue Blue Red Red Blue Blue Green Green\nRed Red Green Green Green Green Blue Blue Green Green Green Green Green Green Red Red Blue Blue Red Red Blue Blue Green Green\nRed Red Blue Blue Blue Blue Red Red Blue Blue Red Red Blue Blue Blue Blue Green Green Blue Blue Blue Blue Red Red\nRed Red Blue Blue Blue Blue Red Red Blue Blue Red Red Blue Blue Blue Blue Green Green Blue Blue Blue Blue Red Red\nGreen Green Green Green Red Red Blue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Green Green Green Green Blue Blue\nGreen Green Green Green Red Red Blue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Green Green Green Green Blue Blue\n\nOutput:\nOrange Orange Yellow Yellow Yellow Yellow Orange Orange Pink Pink Pink Pink Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Pink Pink Orange Orange\nOrange Orange Yellow Yellow Yellow Yellow Orange Orange Pink Pink Pink Pink Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Pink Pink Orange Orange\nPink Pink Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Orange Orange Orange Orange Yellow Yellow Pink Pink\nPink Pink Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Orange Orange Orange Orange Yellow Yellow Pink Pink\nPink Pink Pink Pink Pink Pink Orange Orange Yellow Yellow Yellow Yellow Pink Pink Orange Orange Pink Pink Yellow Yellow Pink Pink Orange Orange\nPink Pink Pink Pink Pink Pink Orange Orange Yellow Yellow Yellow Yellow Pink Pink Orange Orange Pink Pink Yellow Yellow Pink Pink Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange\nYellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Yellow Yellow Pink Pink Yellow Yellow Orange Orange\nYellow Yellow Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange Orange Orange Yellow Yellow Pink Pink Yellow Yellow Orange Orange\nYellow Yellow Orange Orange Orange Orange Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Pink Pink Yellow Yellow Pink Pink Orange Orange\nYellow Yellow Orange Orange Orange Orange Pink Pink Orange Orange Orange Orange Orange Orange Yellow Yellow Pink Pink Yellow Yellow Pink Pink Orange Orange\nYellow Yellow Pink Pink Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Pink Pink Orange Orange Pink Pink Pink Pink Yellow Yellow\nYellow Yellow Pink Pink Pink Pink Yellow Yellow Pink Pink Yellow Yellow Pink Pink Pink Pink Orange Orange Pink Pink Pink Pink Yellow Yellow\nOrange Orange Orange Orange Yellow Yellow Pink Pink Pink Pink Pink Pink Orange Orange Pink Pink Pink Pink Orange Orange Orange Orange Pink Pink\nOrange Orange Orange Orange Yellow Yellow Pink Pink Pink Pink Pink Pink Orange Orange Pink Pink Pink Pink Orange Orange Orange Orange Pink Pink\n\n\nExample 2\nInput:\nRed Red Blue Blue Blue Blue Green Green Green Green Blue Blue Blue Blue Green Green Blue Blue Green Green\nRed Red Blue Blue Blue Blue Green Green Green Green Blue Blue Blue Blue Green Green Blue Blue Green Green\nGreen Green Red Red Green Green Red Red Blue Blue Green Green Green Green Red Red Green Green Red Red\nGreen Green Red Red Green Green Red Red Blue Blue Green Green Green Green Red Red Green Green Red Red\nGreen Green Green Green Blue Blue Red Red Blue Blue Green Green Blue Blue Red Red Red Red Green Green\nGreen Green Green Green Blue Blue Red Red Blue Blue Green Green Blue Blue Red Red Red Red Green Green\nBlue Blue Blue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Blue Blue Green Green Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Green Green Blue Blue Blue Blue Blue Blue Green Green Red Red\nBlue Blue Red Red Blue Blue Green Green Red Red Red Red Red Red Blue Blue Blue Blue Red Red\nBlue Blue Red Red Blue Blue Green Green Red Red Red Red Red Red Blue Blue Blue Blue Red Red\nRed Red Red Red Red Red Red Red Green Green Green Green Red Red Green Green Blue Blue Red Red\nRed Red Red Red Red Red Red Red Green Green Green Green Red Red Green Green Blue Blue Red Red\nGreen Green Red Red Red Red Green Green Blue Blue Green Green Blue Blue Red Red Blue Blue Blue Blue\nGreen Green Red Red Red Red Green Green Blue Blue Green Green Blue Blue Red Red Blue Blue Blue Blue\n\nOutput:\nYellow Yellow Pink Pink Pink Pink Orange Orange Orange Orange Pink Pink Pink Pink Orange Orange Pink Pink Orange Orange\nYellow Yellow Pink Pink Pink Pink Orange Orange Orange Orange Pink Pink Pink Pink Orange Orange Pink Pink Orange Orange\nOrange Orange Yellow Yellow Orange Orange Yellow Yellow Pink Pink Orange Orange Orange Orange Yellow Yellow Orange Orange Yellow Yellow\nOrange Orange Yellow Yellow Orange Orange Yellow Yellow Pink Pink Orange Orange Orange Orange Yellow Yellow Orange Orange Yellow Yellow\nOrange Orange Orange Orange Pink Pink Yellow Yellow Pink Pink Orange Orange Pink Pink Yellow Yellow Yellow Yellow Orange Orange\nOrange Orange Orange Orange Pink Pink Yellow Yellow Pink Pink Orange Orange Pink Pink Yellow Yellow Yellow Yellow Orange Orange\nPink Pink Pink Pink Pink Pink Pink Pink Orange Orange Pink Pink Pink Pink Pink Pink Orange Orange Yellow Yellow\nPink Pink Pink Pink Pink Pink Pink Pink Orange Orange Pink Pink Pink Pink Pink Pink Orange Orange Yellow Yellow\nPink Pink Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow\nPink Pink Yellow Yellow Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Yellow Yellow Orange Orange Pink Pink Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Yellow Yellow Orange Orange Pink Pink Yellow Yellow\nOrange Orange Yellow Yellow Yellow Yellow Orange Orange Pink Pink Orange Orange Pink Pink Yellow Yellow Pink Pink Pink Pink\nOrange Orange Yellow Yellow Yellow Yellow Orange Orange Pink Pink Orange Orange Pink Pink Yellow Yellow Pink Pink Pink Pink\n\n\nExample 3\nInput:\nRed Red Blue Blue Green Green Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue Red Red Green Green\nRed Red Blue Blue Green Green Blue Blue Red Red Red Red Red Red Blue Blue Blue Blue Red Red Green Green\nBlue Blue Green Green Blue Blue Red Red Green Green Red Red Red Red Red Red Blue Blue Green Green Red Red\nBlue Blue Green Green Blue Blue Red Red Green Green Red Red Red Red Red Red Blue Blue Green Green Red Red\nBlue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red Red Red Red Red Green Green\nBlue Blue Green Green Red Red Red Red Green Green Blue Blue Green Green Red Red Red Red Red Red Green Green\nRed Red Blue Blue Green Green Green Green Red Red Blue Blue Green Green Blue Blue Green Green Green Green Green Green\nRed Red Blue Blue Green Green Green Green Red Red Blue Blue Green Green Blue Blue Green Green Green Green Green Green\nGreen Green Green Green Red Red Blue Blue Blue Blue Red Red Green Green Red Red Red Red Blue Blue Red Red\nGreen Green Green Green Red Red Blue Blue Blue Blue Red Red Green Green Red Red Red Red Blue Blue Red Red\nBlue Blue Blue Blue Blue Blue Green Green Red Red Green Green Green Green Green Green Red Red Blue Blue Green Green\nBlue Blue Blue Blue Blue Blue Green Green Red Red Green Green Green Green Green Green Red Red Blue Blue Green Green\nBlue Blue Red Red Blue Blue Red Red Green Green Green Green Green Green Green Green Blue Blue Red Red Red Red\nBlue Blue Red Red Blue Blue Red Red Green Green Green Green Green Green Green Green Blue Blue Red Red Red Red\n\nOutput:\nYellow Yellow Pink Pink Orange Orange Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Orange Orange\nYellow Yellow Pink Pink Orange Orange Pink Pink Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Yellow Yellow Orange Orange\nPink Pink Orange Orange Pink Pink Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow\nPink Pink Orange Orange Pink Pink Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange Yellow Yellow\nPink Pink Orange Orange Yellow Yellow Yellow Yellow Orange Orange Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange\nPink Pink Orange Orange Yellow Yellow Yellow Yellow Orange Orange Pink Pink Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange\nYellow Yellow Pink Pink Orange Orange Orange Orange Yellow Yellow Pink Pink Orange Orange Pink Pink Orange Orange Orange Orange Orange Orange\nYellow Yellow Pink Pink Orange Orange Orange Orange Yellow Yellow Pink Pink Orange Orange Pink Pink Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Yellow Yellow Pink Pink Pink Pink Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Pink Pink Yellow Yellow\nOrange Orange Orange Orange Yellow Yellow Pink Pink Pink Pink Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Pink Pink Yellow Yellow\nPink Pink Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Orange Orange Orange Orange Yellow Yellow Pink Pink Orange Orange\nPink Pink Pink Pink Pink Pink Orange Orange Yellow Yellow Orange Orange Orange Orange Orange Orange Yellow Yellow Pink Pink Orange Orange\nPink Pink Yellow Yellow Pink Pink Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Yellow Yellow Yellow Yellow\nPink Pink Yellow Yellow Pink Pink Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Pink Pink Yellow Yellow Yellow Yellow\n\n\nHere is the input grid for the test example:\nInput:\nBlue Blue Green Green Green Green Red Red Green Green Blue Blue Green Green Red Red Red Red\nBlue Blue Green Green Green Green Red Red Green Green Blue Blue Green Green Red Red Red Red\nRed Red Red Red Red Red Green Green Red Red Green Green Green Green Red Red Blue Blue\nRed Red Red Red Red Red Green Green Red Red Green Green Green Green Red Red Blue Blue\nRed Red Green Green Green Green Green Green Blue Blue Red Red Blue Blue Blue Blue Red Red\nRed Red Green Green Green Green Green Green Blue Blue Red Red Blue Blue Blue Blue Red Red\nBlue Blue Red Red Blue Blue Red Red Green Green Green Green Blue Blue Red Red Blue Blue\nBlue Blue Red Red Blue Blue Red Red Green Green Green Green Blue Blue Red Red Blue Blue\nBlue Blue Blue Blue Red Red Blue Blue Green Green Red Red Green Green Green Green Green Green\nBlue Blue Blue Blue Red Red Blue Blue Green Green Red Red Green Green Green Green Green Green\nGreen Green Red Red Green Green Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nGreen Green Red Red Green Green Red Red Red Red Green Green Green Green Blue Blue Blue Blue\nRed Red Blue Blue Red Red Green Green Green Green Green Green Blue Blue Green Green Red Red\nRed Red Blue Blue Red Red Green Green Green Green Green Green Blue Blue Green Green Red Red\nRed Red Green Green Red Red Green Green Red Red Green Green Red Red Red Red Blue Blue\nRed Red Green Green Red Red Green Green Red Red Green Green Red Red Red Red Blue Blue\nRed Red Red Red Green Green Blue Blue Red Red Green Green Red Red Green Green Green Green\nRed Red Red Red Green Green Blue Blue Red Red Green Green Red Red 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```\nPink Pink Orange Orange Orange Orange Yellow Yellow Orange Orange Pink Pink Orange Orange Yellow Yellow Yellow Yellow\nPink Pink Orange Orange Orange Orange Yellow Yellow Orange Orange Pink Pink Orange Orange Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow Orange Orange Orange Orange Yellow Yellow Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Orange Orange Yellow Yellow Orange Orange Orange Orange Yellow Yellow Pink Pink\nYellow Yellow Orange Orange Orange Orange Orange Orange Pink Pink Yellow Yellow Pink Pink Pink Pink Yellow Yellow\nYellow Yellow Orange Orange Orange Orange Orange Orange Pink Pink Yellow Yellow Pink Pink Pink Pink Yellow Yellow\nPink Pink Yellow Yellow Pink Pink Yellow Yellow Orange Orange Orange Orange Pink Pink Yellow Yellow Pink Pink\nPink Pink Yellow Yellow Pink Pink Yellow Yellow Orange Orange Orange Orange Pink Pink Yellow Yellow Pink Pink\nPink Pink Pink Pink Yellow Yellow Pink Pink Orange Orange Yellow Yellow Orange Orange Orange Orange Orange Orange\nPink Pink Pink Pink Yellow Yellow Pink Pink Orange Orange Yellow Yellow Orange Orange Orange Orange Orange Orange\nOrange Orange Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Orange Orange Orange Orange Pink Pink Pink Pink\nOrange Orange Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Orange Orange Orange Orange Pink Pink Pink Pink\nYellow Yellow Pink Pink Yellow Yellow Orange Orange Orange Orange Orange Orange Pink Pink Orange Orange Yellow Yellow\nYellow Yellow Pink Pink Yellow Yellow Orange Orange Orange Orange Orange Orange Pink Pink Orange Orange Yellow Yellow\nYellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Pink Pink\nYellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Orange Orange Yellow Yellow Yellow Yellow Pink Pink\nYellow Yellow Yellow Yellow Orange Orange Pink Pink Yellow Yellow Orange Orange Yellow Yellow Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Orange Orange Pink Pink Yellow Yellow Orange Orange Yellow Yellow 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:\nGreen Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Green Black Black Green Green Black Green\nBlack Black Green Green Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Black Black\nBlack Black Black Black Green Green Black Black\nBlack Black Black Green 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 Black Black Black Green Green Green\nGreen Green Black Black Black Green Green Green\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Green Black Green Black Black Black\nBlack Black Black Black Black Green Green\nBlack Black Black Black Black Black Black\nBlack Black Black Black Green Black Black\nGreen Black Green Black Green Green Green\nBlack Black Black Black Black Green Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Green Green Green Green Green Green\n\n\nExample 3\nInput:\nGreen Black Black Black Black Black Black\nBlack Black Green Green Green Black Black\nBlack Black Black Green Black Black Black\nBlack Black Black Black Black Black Black\nGreen Black Black Black Black Black Black\nBlack Black Black Black Black Green Black\nGreen Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nGreen Black Black Black Black Black Black\nGreen Black Black Black Black Black Black\nGreen 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 Green Black Black Green Black Black Black Black Green\nBlack Black Black Black Black Green Black Green Black Black Green Green\nBlack Black Black Black Black Black Black Black Green Black Black Black\nBlack Black Black Black Green Green Black Black Black Green Green Black\nGreen Green Black Black Black Black Black Green Black Black Black Green\nGreen Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Green Black Black Green Black Green Black\nBlack Green Black Black Black Green Black Black Green Green Black Black\nBlack Green Black Black Black Green Black Black Black Black Black Black\nBlack Green Black Black Black Black Green Black Black Green Black Black\nBlack Black Black Black Black Black Black Green Black Black Black Black\nBlack Black Green Black Green Green Green Black Green Green Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Black Black Black Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green\nBlack Black Black Black Black Black Green Green Green Green Green Green\nGreen Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black\nGreen Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black\nBlack Black Black Green Green Green Green Green Green Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Blue Black Black Black Black Black Blue Black Black Black\nBlack Black Black Orange Blue Black Blue Black Black Blue Blue Blue Black Blue Black Black Black\nBlue Black Green Blue Black Black Black Black Black Blue Blue Blue Black Black Black Red Black\nBlue Blue Black Black Black Black Blue Black Blue Blue Blue Black Blue Black Black Black Blue\nBlack Black Black Blue Blue Black Black Black Black Blue Black Black Black Black Black Black Black\nBlue Black Black Black Black Blue Blue Black Blue Black Black Blue Blue Blue Blue Black Black\nBlack Black Blue Brown Black Blue Blue Black Black Blue Black Black Blue Blue Blue Black Blue\nBlue Black Blue Black Blue Blue Orange Black Blue Blue Black Black Black Black Blue Black Blue\nBlue Black Red Black Pink Black Black Blue Black Black Black Blue Black Blue Black Blue Black\nBlack Black Blue Black Black Black Blue Black Blue Black Blue Black Blue Black Blue Black Black\nBlue Blue Black Blue Black Black Blue Blue Black Red Blue Black Blue Blue Blue Black Pink\nBlack Blue Black Blue Black Black Black Black Black Black Black Blue Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Blue Black Black Black Black Black Blue Black\n\nOutput:\nBlack Black Black Black Black Black Black Orange Black Black Black Black Black Orange Black Black Black\nBlack Black Black Orange Orange Black Orange Black Black Orange Orange Orange Black Orange Black Black Black\nOrange Black Green Orange Black Black Black Black Black Orange Orange Orange Black Black Black Red Black\nOrange Orange Black Black Black Black Orange Black Orange Orange Orange Black Orange Black Black Black Orange\nBlack Black Black Orange Orange Black Black Black Black Orange Black Black Black Black Black Black Black\nOrange Black Black Black Black Orange Orange Black Orange Black Black Orange Orange Orange Orange Black Black\nBlack Black Orange Brown Black Orange Orange Black Black Orange Black Black Orange Orange Orange Black Orange\nOrange Black Orange Black Orange Orange Orange Black Orange Orange Black Black Black Black Orange Black Orange\nOrange Black Red Black Pink Black Black Orange Black Black Black Orange Black Orange Orange Orange Black\nBlack Black Orange Black Black Black Orange Orange Orange Black Orange Orange Orange Orange Orange Black Black\nOrange Orange Black Orange Black Black Orange Orange Black Red Orange Orange Orange Orange Orange Black Pink\nBlack Orange Black Orange Black Black Black Black Black Black Black Orange Black Black Black Black Black\nBlack Orange Black Black Black Black Black Black Black Orange Black Black Black Black Black Orange Black\n\n\nExample 2\nInput:\nBlue Blue Black Black Blue Black Blue Blue Black Blue Blue Black Black Blue Black\nBlack Blue Blue Blue Blue Blue Black Blue Black Black Blue Black Black Black Blue\nBlue Blue Blue Blue Black Black Black Blue Black Blue Blue Blue Black Black Blue\nBlue Blue Blue Black Black Blue Blue Blue Black Blue Blue Black Blue Orange Blue\nBlue Blue Purple Black Black Blue Blue Blue Blue Black Black Black Blue Blue Blue\nBlue Black Black Black Blue Black Blue Black Green Blue Black Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Black Black Blue Blue Green Black Black Blue Black\nBlue Black Black Blue Black Black Black Blue Blue Blue Blue Black Blue Blue Blue\nBlack Black Blue Brown Blue Blue Black Black Blue Blue Blue Blue Black Blue Blue\nBlue Blue Blue Black Blue Black Blue Blue Black Black Blue Blue Black Blue Black\nBlue Black Blue Black Black Blue Blue Black Blue Black Blue Blue Gray Blue Black\nBlue Blue Black Blue Blue Black Black Blue Blue Blue Blue Blue Blue Black Black\n\nOutput:\nOrange Orange Black Black Orange Black Orange Orange Black Orange Orange Black Black Orange Black\nBlack Orange Orange Orange Orange Orange Orange Orange Black Black Orange Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Black Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBlack Black Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Black\nOrange Orange Black Orange Orange Black Black Orange Orange Orange Orange Orange Orange Black Black\n\n\nExample 3\nInput:\nBlue Black Blue Blue Blue Black Blue Blue Black Blue Blue Blue Blue Black Black Black\nBlack Black Blue Black Green Black Black Blue Blue Black Blue Black Black Blue Black Blue\nBlue Blue Blue Black Blue Black Black Blue Black Black Blue Black Blue Blue Blue Blue\nBlack Blue Blue Blue Black Blue Black Blue Blue Blue Black Black Blue Black Black Black\nBlue Blue Black Blue Blue Blue Black Blue Black Blue Blue Black Black Black Black Blue\nBlack Black Blue Blue Black Black Black Blue Blue Blue Blue Blue Black Black Blue Blue\nBlue Black Blue Blue Blue Black Blue Blue Black Blue Blue Blue Black Black Blue Black\nBlack Blue Blue Blue Black Black Black Black Black Blue Black Black Blue Blue Black Black\nBlack Black Blue Black Black Black Black Blue Black Black Black Blue Blue Black Black Blue\nBlue Black Black Blue Black Blue Blue Blue Blue Black Black Black Blue Black Blue Black\nBlue Blue Blue Blue Black Blue Black Blue Black Black Black Black Blue Blue Black Blue\nRed Black Black Black Black Blue Black Black Blue Blue Black Black Blue Blue Black Blue\n\nOutput:\nOrange Black Orange Orange Orange Black Orange Orange Black Orange Orange Orange Orange Black Black Black\nBlack Black Orange Black Green Black Black Orange Orange Orange Orange Black Black Orange Black Orange\nOrange Orange Orange Black Orange Black Black Orange Orange Orange Orange Black Orange Orange Orange Orange\nBlack Orange Orange Orange Orange Orange Black Orange Orange Orange Black Black Orange Black Black Black\nOrange Orange Orange Orange Orange Orange Black Orange Orange Orange Orange Black Black Black Black Orange\nBlack Black Orange Orange Black Black Black Orange Orange Orange Orange Orange Black Black Orange Orange\nOrange Black Orange Orange Orange Black Orange Orange Black Orange Orange Orange Black Black Orange Black\nBlack Orange Orange Orange Black Black Black Black Black Orange Black Black Orange Orange Black Black\nBlack Black Orange Black Black Black Black Orange Black Black Black Orange Orange Black Black Orange\nOrange Black Black Orange Black Orange Orange Orange Orange Black Black Black Orange Black Orange Black\nOrange Orange Orange Orange Black Orange Black Orange Black Black Black Black Orange Orange Black Orange\nRed Black Black Black Black Orange Black Black Orange Orange Black Black Orange Orange Black Orange\n\n\nHere is the input grid for the test example:\nInput:\nBlack Blue Black Blue Black Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Blue Black Black Blue Blue Blue Black\nBlack Black Black Black Blue Blue Blue Black Blue Blue Black Black Blue Black\nBlue Black Black Black Black Black Black Blue Black Black Black Black Black Black\nBlue Black Blue Black Blue Blue Blue Blue Blue Black Black Blue Black Black\nBlack Black Black Black Black Blue Black Black Blue Black Black Black Blue Black\nBlack Blue Black Black Black Blue Black Black Blue Blue Blue Black Orange Blue\nBlack Black Black Black Black Black Blue Blue Blue Black Black Black Black Black\nBlack Blue Black Blue Black Black Black Black Black Purple Blue Blue Black Blue\nBlack Black Black Blue Blue Pink Black Blue Black Blue Blue Blue Black Black\nBlack Black Black Blue Black Black Blue Black Blue Black Black Black Black Black\nBlue Black Black Black Black Black Black Blue Black Blue Blue Blue Black Blue\nBlue Black Orange Blue Gray Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black Black Orange Black Green Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Orange Black Orange Black Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Orange Black Black Orange Orange Orange Black\nBlack Black Black Black Orange Orange Orange Orange Orange Orange Black Black Orange Black\nOrange Black Black Black Black Black Black Orange Black Black Black Black Black Black\nOrange Black Orange Black Orange Orange Orange Orange Orange Black Black Orange Black Black\nBlack Black Black Black Black Orange Orange Orange Orange Black Black Black Orange Black\nBlack Orange Black Black Black Orange Orange Orange Orange Orange Orange Black Orange Orange\nBlack Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Orange Black Orange Black Black Black Black Black Purple Orange Orange Black Orange\nBlack Black Black Orange Orange Pink Black Orange Black Orange Orange Orange Black Black\nBlack Black Black Orange Black Black Orange Orange Orange Black Black Black Black Black\nOrange Black Black Black Black Black Black Orange Black Orange Orange Orange Black Orange\nOrange Black Orange Orange Gray Black Black Black Black Orange Black Black Black Black\nBlack Black Black Black Black Orange Black Black Black Black Orange Black Green Orange\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Brown Brown Brown Brown Black Black\nRed Black Black Blue Black Black Black Brown Black Black\nRed Blue Blue Blue Blue Blue Black Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Yellow\nBlack Black Black Black Yellow Yellow Yellow Yellow\nYellow Black Black Yellow Black Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Green Green Black Black Black\nBlack Black Blue Black Green Green Black Black Brown Black\nBlue Blue Blue Blue Blue Green Black Black Brown Brown\nBlue Blue Blue Blue Blue Green Green Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Black Red Black Black Red\nBlue Blue Blue Blue Blue Black Red Red Red Red\nPink Pink Blue Pink Black Black Red Red Red Red\nBlack Black Black Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Yellow Yellow Black Black Black\nBlack Black Yellow Black Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Black Yellow Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Black Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black Black Yellow Yellow Yellow Yellow\nBlack Black Black Yellow Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black Black\nBlue Blue Blue Blue Black Black Black Red Black Black\nBlue Blue Blue Blue Black Black Black Red Black Black\nBlue Blue Blue Blue Blue Black Red Red Red Black\nBlue Blue Blue Blue Black Black Black Black Black Black\nBlue Blue Blue Blue Black Gray Gray Gray Gray Black\nBlack Blue Brown Black Black Gray Gray Gray Gray Black\nBlack Brown Brown Brown Black Black Black Black Black Black\nBlack Black Brown Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Black Black Black\nYellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Black\nBlack Black Yellow 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 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 Red Red Black\nBlack Black Orange Blue Black Black Black Red Red Black\nBlack Blue Blue Blue Blue Blue Black Red Red Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Blue Blue Blue Blue Blue Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Yellow Yellow Black Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nBlack 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 Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Blue Black Black Black\nBlack Blue Blue Black Black Blue Blue Black Black Black\nBlack Blue Blue Black Black Black Black Black Black Black\nBlack Black Black Black Black Black 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 Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\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 Blue Blue Black Blue Blue Blue Black Black\nBlack Black Blue Blue Black Blue Blue Blue Black Black\nBlack Black Black Black Black 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 Blue Blue Blue Blue Black\nBlack Black Black Black Black Blue Blue Blue Black Black\nBlack Black Black Black Black Blue Blue Blue 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 Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlue Blue Blue Black Black Black Black Black Black Black\nBlue Blue Blue Black Blue Blue Blue Black Black Black\nBlue Blue Blue Blue Blue Blue Blue Black Black Black\nBlack Black Black Black Blue Blue Blue Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\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 Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black\nBlue Blue Blue Blue Blue Blue Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Blue 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\nBlack Black Black Black Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Blue Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Blue 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:\nOrange Green Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange\nBlack Black Black Black Purple Blue Black Black Black Black Orange\nBlack Black Black Black Black Black Black Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Green Black\nBrown Black Black Yellow Black Pink Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Pink Black Black Black Black Black Brown Black\nBlack Black Brown Black Black Black Black Black Black Pink Black\nBlack Black Black Black Black Black Gray Black Orange Black Black\n\nOutput:\nBlack Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black\nBlack Black Black Yellow Black Yellow\nBlack Black Black Black Black Black\n\n\nExample 2\nInput:\nBlue Black Black Yellow Pink Black Black Pink\nBrown Black Black Black Brown Black Black Blue\nBlack Black Black Green Gray Purple Purple Black\nBlack Brown Black Black Black Black Black Black\nBlack Brown Black Black Purple Black Black Orange\nBlack Black Black Black Black Orange Black Black\nBlue Black Black Black Red Black Black Black\nBlack Orange Brown Gray Black Black Red Black\n\nOutput:\nBlack Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black\nBlack Yellow Black Yellow Black Yellow\nBlack Black Yellow Black Yellow Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nExample 3\nInput:\nBlue Black Black Black Black Black Black Brown\nBlack Black Black Green Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black Black\nBlack Black Black Black Gray Yellow Black Black\nBlack Black Black Red Black Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Yellow Black Yellow Black Yellow\nYellow Black Yellow Black Yellow Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nPink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBrown Gray Black Black Black Black Black Black Black 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\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Yellow Black Yellow Black Yellow\nBlack Black Black Black Yellow Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\nBlack Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Yellow Yellow Yellow Yellow Yellow Black\nBlack Black Yellow Yellow Yellow Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Purple\n\nOutput:\nBlack Black Purple Black Black Black Black\nBlack Purple Purple Purple Black Black Black\nPurple Purple Purple Purple Purple Black Black\nBlack Purple Purple Purple Yellow Yellow Black\nBlack Black Purple Yellow Yellow Black Black\nBlack Black Black Yellow Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Green Green Green Black Black\nBlack Green Green Green Green Green Black\nBlack Black Black Green Green Green Black\nBlack Green Green Green Green Green Black\nBlack Black Green Green Green Black Black\nBlack Black Black Black Black Black Pink\n\nOutput:\nBlack Pink Pink Pink Black Black Black\nPink Pink Pink Pink Pink Black Black\nBlack Green Pink Pink Pink Green Black\nPink Pink Pink Pink Pink Green Black\nBlack Pink Pink Pink Green Green Black\nBlack Black Green Green Green Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Green Green Black Black\nBlack Black Black Green Green Black Black\nBlack Black Black Green Green Black Black\nBlack Green Green Green Green Black Black\nBlack Green Green Green Green Green Black\nBlack Black Black Black Black Black Orange\n\nOutput:\nBlack Black Orange Orange Black Black Black\nBlack Black Orange Orange Green Black Black\nBlack Black Orange Orange Green Black Black\nOrange Orange Orange Orange Green Black Black\nOrange Orange Orange Orange Orange Black Black\nBlack Green Green Green Green Green Black\nBlack Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Pink Pink Pink Black\nBlack Pink Pink Black Pink Pink Black\nBlack Black Pink Black Pink Black Black\nBlack Pink Pink Black Pink Pink Black\nBlack Black Black Black Black Black Gray\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGray Gray Gray Gray Gray Black Black\nGray Gray Gray Gray Gray Pink Black\nGray Gray Pink Gray Gray Pink Black\nBlack Gray Pink Gray Pink Pink Black\nGray Gray Pink Gray Gray Black Black\nBlack Pink Pink Black Pink Pink 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:\nGray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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:\nRed 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\nRed Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black\nGray Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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:\nRed 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\nRed Black Black Black Black Black Black Black Black Black Black Black\nRed Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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:\nBrown Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black Black Black Black Black Black Black\nBrown Black Black Black Black Black 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 Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\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:\nOrange 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\nOrange 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\nOrange 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\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Red Black Black Black Red Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Blue\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 Red Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Black Black Black\nBlack Black Black 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 Blue Black Black Black Black Black Black\nBlack Black Black Blue Black Black Red Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Blue Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Blue\n\n\nExample 3\nInput:\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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:\nBlue Black Black Black Blue Black Black Black Black\nBlack Blue Black Black Black Black Black Black Black\nBlack Black Blue Black Black Black Red Black Black\nBlack Black Black Blue Black Black Black Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black 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 Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black 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 Blue Black Black Blue Black Black\nBlack Black Black Black Blue Black Black Black Black\nBlack Black Black Black Black Blue Black Black Black\nBlack Black Black Black Black Black Blue Black Black\nBlack Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Black Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Black Black Black Black Yellow Black Black Yellow Black Black\nBlack Black Black Yellow Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Black Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Black Black\nBlack Black Black Black Black Yellow Black Black Black Yellow Black Black Yellow Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Yellow Yellow Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Yellow Black Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Yellow Black Black\nBlack Yellow Yellow Yellow Black\nYellow Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Yellow Black\nBlack 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 Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nYellow Yellow Yellow Yellow\nYellow Yellow Yellow Black\nYellow Yellow Yellow Black\nYellow Yellow Yellow Yellow\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Purple Purple Black Black Black Black Black Black Black Black\nBlack Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Purple Purple Purple Purple Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Black Purple Black Black\nBlack 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\nBlack Black Black Black Black Black 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 Yellow Black Black\nBlack Yellow Black Yellow Yellow Black\nYellow Yellow Yellow Yellow Black Black\nBlack Black Yellow Yellow Yellow Yellow\nBlack Yellow Yellow Black Yellow Black\nBlack Black Yellow 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 Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Black Black Pink Pink Black Black Black Black Black Black Black Black\nBlack Pink Pink Pink Pink Pink Pink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Black Black Black Pink Black Black Black Black\nBlack Black Black Black Black Black 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```\nYellow Yellow Black Yellow Yellow\nYellow Yellow Black Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow\nYellow Yellow Black Yellow Yellow\nYellow Black Black Black 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 Orange Gray Gray Gray Black Black Pink\nBlack Black Orange Gray Gray Gray Black Black Black\nBlack Black Orange 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\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\nOutput:\nPink Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nGray Gray Gray Black Black Black Yellow Yellow Yellow\nGray Gray Gray Black Black Black Yellow Yellow Yellow\nGray Gray Gray Black Black Black Yellow Yellow Yellow\nOrange Orange Orange 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 2\nInput:\nBlack Black Black Black Black Black\nBlack Black Green Yellow Yellow Yellow\nBlack Brown Brown Yellow Yellow Yellow\nBlack Brown Brown Gray Gray Gray\nBlack Brown Brown Gray Gray Gray\nBlack Black Black Gray Gray Gray\n\nOutput:\nBlack Yellow Yellow Gray Gray Gray\nBlack Yellow Yellow Gray Gray Gray\nBlack Yellow Yellow Gray Gray Gray\nBlack Green Brown Brown Brown Black\nBlack Black Brown Brown Brown Black\nBlack 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 Red Red Black\nBlack Black Black Black Red Red Black\nGreen Black Black Black Pink Pink Pink\nBlack Black Black Black Pink Pink Pink\nBlack Black Black Black Pink Pink Pink\n\nOutput:\nBlack Black Black Black Pink Pink Pink\nBlack Black Red Red Pink Pink Pink\nBlack Black Red Red Pink Pink Pink\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 Green Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Brown Black Black Black Black 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 Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack 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\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple\nPurple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Purple Purple\nPurple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple\nPurple Purple Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Purple Purple\nPurple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Purple Purple\nPurple Purple Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Purple Purple\nPurple Purple Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Pink Pink Purple Purple\nPurple Purple Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Pink Pink Purple Purple\nPurple Purple Green Green Green Green Green Green Blue Blue Yellow Yellow Pink Pink Purple Purple\nPurple Purple Green Green Green Green Green Green Blue Blue Yellow Yellow Pink Pink Purple Purple\nPurple Purple Red Red Red Red Green Green Blue Blue Yellow Yellow Pink Pink Purple Purple\nPurple Purple Red Red Red Red Green Green Blue Blue Yellow Yellow Pink Pink Purple Purple\nPurple Purple Pink Pink Red Red Green Green Blue Blue Yellow Yellow Pink Pink Purple Purple\nPurple Purple Pink Pink Red Red Green Green Blue Blue Yellow Yellow Pink Pink Purple Purple\nPurple Purple Red Red Red Red Green Green Blue Blue Yellow Yellow Pink Pink Purple Purple\nPurple Purple Red Red Red Red Green Green Blue Blue Yellow Yellow Pink Pink Purple Purple\nPurple Purple Green Green Green Green Green Green Blue Blue Yellow Yellow Pink Pink Purple Purple\nPurple Purple Green Green Green Green Green Green Blue Blue Yellow Yellow Pink Pink Purple Purple\nPurple Purple Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Pink Pink Purple Purple\nPurple Purple Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Pink Pink Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink\nPink Pink Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink\nPink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink\nPink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink\nPink Pink Green Green Green Green Green Green Green Green Green Green Pink Pink\nPink Pink Green Green Green Green Green Green Green Green Green Green Pink Pink\nPink Pink Green Green Red Red Red Red Red Red Green Green Pink Pink\nPink Pink Green Green Red Red Red Red Red Red Green Green Pink Pink\nPink Pink Green Green Red Red Blue Blue Red Red Green Green Pink Pink\nPink Pink Green Green Red Red Blue Blue Red Red Green Green Pink Pink\nPink Pink Green Green Red Red Red Red Red Red Green Green Pink Pink\nPink Pink Green Green Red Red Red Red Red Red Green Green Pink Pink\nPink Pink Green Green Green Green Green Green Green Green Green Green Pink Pink\nPink Pink Green Green Green Green Green Green Green Green Green Green Pink Pink\nPink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink\nPink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Yellow Yellow Red Red Green Green Blue Blue Yellow Yellow Red Red\nRed Red Yellow Yellow Red Red Green Green Blue Blue Yellow Yellow Red Red\nRed Red Red Red Red Red Green Green Blue Blue Yellow Yellow Red Red\nRed Red Red Red Red Red Green Green Blue Blue Yellow Yellow Red Red\nRed Red Green Green Green Green Green Green Blue Blue Yellow Yellow Red Red\nRed Red Green Green Green Green Green Green Blue Blue Yellow Yellow Red Red\nRed Red Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Red Red\nRed Red Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Red Red\nRed Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nRed Red Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Red Red\nRed Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red\nRed Red Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Red Red\nRed Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red\nRed Red Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Red Red\nRed Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red\nRed Red Purple Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red\nRed Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red\nRed Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red\n\n\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 Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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```\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Red Red Red Red Red Red Green Green Blue Blue Yellow Yellow Pink Pink Orange Orange\nOrange Orange Red Red Red Red Red Red Green Green Blue Blue Yellow Yellow Pink Pink Orange Orange\nOrange Orange Red Red Gray Gray Red Red Green Green Blue Blue Yellow Yellow Pink Pink Orange Orange\nOrange Orange Red Red Gray Gray Red Red Green Green Blue Blue Yellow Yellow Pink Pink Orange Orange\nOrange Orange Red Red Red Red Red Red Green Green Blue Blue Yellow Yellow Pink Pink Orange Orange\nOrange Orange Red Red Red Red Red Red Green Green Blue Blue Yellow Yellow Pink Pink Orange Orange\nOrange Orange Green Green Green Green Green Green Green Green Blue Blue Yellow Yellow Pink Pink Orange Orange\nOrange Orange Green Green Green Green Green Green Green Green Blue Blue Yellow Yellow Pink Pink Orange Orange\nOrange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Pink Pink Orange Orange\nOrange Orange Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Pink Pink Orange Orange\nOrange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange\nOrange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Pink Pink Orange Orange\nOrange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange\nOrange Orange Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Pink Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\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\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 2\nInput:\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue\n\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 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 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 Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 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 Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black\nYellow Yellow Yellow Yellow Yellow Yellow Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black\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\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\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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```\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\nPurple Purple Purple Purple Purple Purple Purple Purple Purple\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Yellow 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\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black 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\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 Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Black Black\nBlack Black Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nBlack Black Black Black Black Black Black\nYellow Yellow Yellow Black Black Black Black\nYellow Yellow Yellow Black Black Black Black\nYellow Yellow 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 Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Gray Black Black Black 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 Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray Black Black Black Black Black\nBlack Gray Gray Gray 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:\nYellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Red Red Red Red Red Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Red Red Red Red Red Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Red Red Red Red Red Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Red Red Red Red Red Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Red Red Red Red Red Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nBrown Brown Brown Brown Brown Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red\nBrown Brown Brown Brown Brown Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red\nBrown Brown Brown Brown Brown Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red\nBrown Brown Brown Brown Brown Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red\nBrown Brown Brown Brown Brown Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Red Red Red Red Red\nBrown Brown Brown Brown Brown Green Green Green Green Green Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Green Green Green Green Green Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Green Green Green Green Green Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Green Green Green Green Green Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Green Green Green Green Green Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nPurple Purple Purple Purple Purple Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nExample 2\nInput:\nPink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Yellow Yellow Yellow Yellow Yellow Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Green Green Green Green Green Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Green Green Green Green Green Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nPurple Purple Purple Purple Purple Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow Yellow Orange Orange Orange Orange Orange Brown Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red\nOrange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red\nOrange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red\nOrange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red\nOrange Orange Orange Orange Orange Purple Purple Purple Purple Purple Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Red\n\nOutput:\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray\nGreen Green Green Green Green Green Green Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red\nYellow Yellow Yellow Yellow Yellow Gray Gray Gray Gray Gray Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Red\n\n\nExample 3\nInput:\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Red Red Red Red Red Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Red Red Red Red Red Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Red Red Red Red Red Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Red Red Red Red Red Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Red Red Red Red Red Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Red Red Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown\nYellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple\nYellow Yellow Yellow Yellow Yellow Red Red Red Red Red Red Red Red Red Red Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple\nBrown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nBrown Brown Brown Brown Brown Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange\nGray Gray Gray Gray Gray Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue Orange Orange Orange Orange Orange\n\nOutput:\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray\nPink Pink Pink Pink Pink Gray Gray Gray Gray Gray Yellow Yellow Yellow Yellow Yellow Brown Brown Brown Brown Brown Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nGray Gray Gray Gray Gray Blue Blue Blue Blue Blue Red Red Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue\nRed Red Red Red Red Red Red Red Red Red Red Red Red Red Red Gray Gray Gray Gray Gray Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Brown Brown Orange Orange Orange Orange Orange Blue Blue Blue Blue Blue\nOrange Orange Orange Orange Orange Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Brown Brown Brown Brown Brown Purple Purple Purple Purple Purple Orange Orange Orange Orange Orange Orange Orange Orange Orange Orange\n\n\nHere is the input grid for the test example:\nInput:\nRed Red Red Red Red Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple\nRed Red Red Red Red Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple\nRed Red Red Red Red Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple\nRed Red Red Red Red Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple\nRed Red Red Red Red Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple\nPink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nRed Red Red Red Red Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue\nRed Red Red Red Red Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue\nRed Red Red Red Red Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue\nRed Red Red Red Red Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue\nRed Red Red Red Red Pink Pink Pink Pink Pink Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nYellow Yellow Yellow Yellow Yellow Blue Blue Blue Blue Blue Blue Blue Blue Blue Blue\nPurple Purple Purple Purple Purple Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink\nPurple Purple Purple Purple Purple Blue Blue Blue Blue Blue Pink Pink Pink Pink Pink\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Purple Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black 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 Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Brown Brown Brown Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Green Green Green 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black 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 Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Gray Gray Gray Gray 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\nBlack Black Black Gray Gray Gray Gray 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Red Red Red Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black\nBlack Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black 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 Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Green Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Brown Brown Brown Brown Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Black Black Black Black Black Gray Gray Gray Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Gray Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Black Black Gray Gray Gray Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Gray Gray Gray Black Black Black Black Black Brown Brown Brown\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Pink Pink Pink Black Black Black Black Black Black Black Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Pink Black Black Pink Pink Pink Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Pink Pink Pink Black Black Pink Pink Pink Black Black Black Black\nYellow Yellow Yellow Black Black Black Black Black Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple Pink Pink Pink Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Pink Pink Pink Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Red Red Red Blue Blue Blue Red Red Red Green Green Green Red Red Red Green Green Green Black Black Black\nBlack Black Black Red Red Red Blue Blue Blue Red Red Red Green Green Green Red Red Red Green Green Green Black Black Black\nBlack Black Black Red Red Red Blue Blue Blue Red Red Red Green Green Green Red Red Red Green Green Green Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Blue Blue Blue Blue Blue Blue Blue Blue Blue Red Red Red Red Red Red Red Red Red Black Black Black\nBlack Black Black Red Red Red Blue Blue Blue Red Red Red Green Green Green Red Red Red Green Green Green Black Black Black\nBlack Black Black Red Red Red Blue Blue Blue Red Red Red Green Green Green Red Red Red Green Green Green Black Black Black\nBlack Black Black Red Red Red Blue Blue Blue Red Red Red Green Green Green Red Red Red Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Blue Blue Blue Red Red Red Blue Blue Blue Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Blue Blue Blue Red Red Red Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink Purple Purple Purple Pink Pink Pink Black Black Black\nBlack Black Black Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink Purple Purple Purple Pink Pink Pink Black Black Black\nBlack Black Black Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink Purple Purple Purple Pink Pink Pink Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink Purple Purple Purple Pink Pink Pink Black Black Black\nBlack Black Black Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink Purple Purple Purple Pink Pink Pink Black Black Black\nBlack Black Black Purple Purple Purple Yellow Yellow Yellow Purple Purple Purple Pink Pink Pink Purple Purple Purple Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Purple Purple Purple Purple Purple Purple Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Blue Blue Blue Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Blue Blue Blue Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Red Red Red Red Red Red Blue Blue Blue Yellow Yellow Yellow Black Black Black\nBlack Black Black Black Black Black Green Green Green Red Red Red Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Red Red Red Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Black Black Black Green Green Green Red Red Red Yellow Yellow Yellow Green Green Green Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Red Red Red Red Red Red Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Purple Purple Purple Purple Purple Purple Yellow Yellow Yellow Gray Gray Gray Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Purple Purple Purple Gray Gray Gray Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Purple Purple Purple Gray Gray Gray Pink Pink Pink Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Purple Purple Purple Gray Gray Gray Pink 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Red Red Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Green Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Red Red Red Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Purple Purple Purple Green Green Green Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Purple Purple Purple Green Green Green Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Red Red Red Red Red Red Purple Purple Purple Green Green Green Gray Gray Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Red Red Red Yellow Yellow Yellow Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Purple Purple Purple Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Red Red Red Pink Pink Pink Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Red Red Red Pink Pink Pink Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Red Red Red Pink Pink Pink Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Purple Purple Purple Gray Gray Gray Pink Pink Pink Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black 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 Gray Black Black Yellow Black Orange Black\nBlack Gray Black Black Black Black Brown Black\nBlack Black Black Black Black Black Black Black\nGreen Pink Black Black Black Black Black Black\nBlack Black Black Blue Black Black Black Red\nYellow Black Black Black Black Black Black Gray\nBlack Black Black Black Gray Black Brown Black\nBlack Black Black Black Black Black Black Black\nBlack Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Green Black Black Black Red Black Black\nBlack Black Black Black Purple Black Black Black\nOrange Purple Black Black Black Black Black Black\nBlack Green Black Black Black Black Black Black\nBlack Black Purple Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Red Black Black Black\nBlack Black Black Black Black Black Black Black\n\nOutput:\nBlack Purple Black Black Pink Black Blue Black\nBlack Purple Black Black Black Black Yellow Black\nBlack Black Black Black Black Black Black Black\nRed Gray Black Black Black Black Black Black\nBlack Black Black Orange Black Black Black Green\nPink Black Black Black Black Black Black Purple\nBlack Black Black Black Purple Black Yellow Black\nBlack Black Black Black Black Black Black Black\nBlack Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black\nBlack Red Black Black Black Green Black Black\nBlack Black Black Black Brown Black Black Black\nBlue Brown Black Black Black Black Black Black\nBlack Red Black Black Black Black Black Black\nBlack Black Brown Black Black Black Pink Black\nBlack Black Black Black Black Black Black Black\nBlack Black Black Black Green Black Black Black\nBlack Black Black Black Black Black Black Black\n\n\nExample 2\nInput:\nBlack Black Black Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Yellow Purple Black Black Black Red Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Yellow Black Black Black Black Black Black Orange\nBrown Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Red Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Brown Black Black Black Green Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Pink Black Black Black Black Black Black Blue\nYellow Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Green Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Brown Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Red Black Black\nBlue Black Black Black Black Black Pink Red Black Black Black\nBlack Gray Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Brown Black Black\nBlack Black Green Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Red 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 Black Black Black Green Black Black\nOrange Black Black Black Black Black Gray Green Black Black Black\nBlack Purple Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Black Black\nBlack Black Red Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Green\nBlack Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Brown Red Green Black Black 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 Red\nBlack Black Black Black Black Black Red Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black\nBlack Yellow Green Red Black Black Black Black Black\nBlack Black Black Black Pink Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Red Black Black Black Black Black Black Black Pink\nBlack Pink Black Red Black Black Black Black Black Red\nBlack Black Gray Black Gray Black Black Pink Black Black\nBlack Black Pink Black Black Black Black Black Black Gray\nBlack Black Gray Black Red Black Black Gray Black Black\nBlack Black Pink Black Red Black Black Pink Red Purple\nRed Black Black Gray Black Black Black Purple Pink Gray\nBlack Pink Black Pink Black Black Pink Black Pink Black\nBlack Black Black Black Pink Pink Black Black Black Black\nBlack Purple Black Pink Gray Pink Black Purple Red Black\n\nOutput:\nRed Gray Black Black Black Black Black Black Black Red\nBlack Red Black Pink Black Black Black Black Black Pink\nBlack Black Pink Black Red Black Black Gray Black Black\nBlack Black Gray Black Black Black Black Black Black Red\nBlack Black Pink Black Gray Black Black Pink Black Black\nBlack Black Gray Black Pink Black Black Gray Pink Red\nPink Black Black Pink Black Black Black Pink Red Purple\nBlack Red Black Gray Black Black Purple Black Red Black\nBlack Black Black Black Gray Gray Black Black Black Black\nBlack Pink Black Gray Pink Gray Black Red Purple Black\n\n\nExample 2\nInput:\nBlack Red Brown Black Red Black Black Black Orange Black\nBlack Orange Black Black Black Black Red Black Green Brown\nGreen Black Black Black Black Black Black Black Brown Black\nBlack Black Red Black Black Black Brown Black Black Black\nBlack Orange Black Red Brown Red Black Brown Black Green\nBlack Black Black Black Green Black Black Orange Black Black\nBlack Black Black Red Black Black Red Green Black Black\nBlack Black Black Black Black Black Black Green Black Black\nBlack Black Brown Brown Black Green Black Green Black Black\nBlack Green Brown Orange Black Black Black Black Black Black\n\nOutput:\nBlack Brown Red Black Brown Black Black Black Green Black\nBlack Red Black Black Black Black Green Black Orange Green\nOrange Black Black Black Black Black Black Black Green Black\nBlack Black Orange Black Black Black Red Black Black Black\nBlack Red Black Brown Red Brown Black Orange Black Brown\nBlack Black Black Black Brown Black Black Brown Black Black\nBlack Black Black Green Black Black Green Orange Black Black\nBlack Black Black Black Black Black Black Orange Black Black\nBlack Black Green Orange Black Brown Black Orange Black Black\nBlack Brown Green Brown Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Purple Blue Blue Blue Black Black Yellow Yellow Black\nBlack Black Black Yellow Black Pink Black Black Blue Black\nBlack Black Blue Black Black Yellow Blue Blue Black Blue\nBlack Black Black Black Purple Black Purple Black Gray Black\nPurple Black Black Black Purple Gray Black Purple Black Yellow\nBlack Black Purple Black Gray Black Black Black Blue Blue\nBlack Purple Purple Black Black Yellow Black Gray Black Black\nPurple Black Black Black Purple Black Black Black Black Gray\nBlack Black Black Black Blue Black Purple Purple Black Yellow\nGray Yellow Pink Gray Black Blue Purple Yellow Black Black\n\nOutput:\nBlack Blue Purple Yellow Yellow Black Black Blue Blue Black\nBlack Black Black Blue Black Yellow Black Black Yellow Black\nBlack Black Yellow Black Black Pink Yellow Yellow Black Gray\nBlack Black Black Black Yellow Black Blue Black Blue Black\nBlue Black Black Black Gray Purple Black Blue Black Blue\nBlack Black Gray Black Purple Black Black Black Gray Yellow\nBlack Yellow Gray Black Black Gray Black Purple Black Black\nGray Black Black Black Blue Black Black Black Black Yellow\nBlack Black Black Black Purple Black Blue Yellow Black Gray\nYellow Gray Yellow Pink Black Purple Blue Purple Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Green Black Red Black Blue Black Blue\nBlack Black Black Black Black Black Blue Black Blue Black\nRed Red Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Blue Black Red Red Green\nRed Black Black Black Black Black Black Blue Black Blue\nBlack Black Blue Black Black Black Black Blue Black Black\nBlue Black Red Black Black Black Black Blue Blue Green\nBlack Black Black Black Black Black Green Black Black Green\nRed Red Black Black Black Black Black Black Red Black\nBlack Black Black Black Black Black Black Blue Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Red Black Green Black Red Black Green\nBlack Black Black Black Black Black Red Black Red Black\nBlue Green Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Red Black Blue Green Red\nBlue Black Black Black Black Black Black Red Black Green\nBlack Black Red Black Black Black Black Red Black Black\nRed Black Blue Black Black Black Black Green Green Blue\nBlack Black Black Black Black Black Blue Black Black Blue\nBlue Blue Black Black Black Black Black Black Blue Black\nBlack Black Black Black Black Black Black Red Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nGray Pink Pink Brown Purple Gray Blue Orange Pink Yellow Purple\nPink Purple Red Yellow Yellow Purple Orange Brown Green Green Purple\nYellow Brown Brown Purple Purple Brown Orange Pink Green Green Orange\nOrange Gray Pink Yellow Purple Pink Pink Purple Yellow Pink Purple\nGreen Green Red Yellow Purple Orange Purple Gray Red Brown Yellow\nGreen Green Pink Yellow Blue Red Red Brown Purple Blue Blue\nYellow Orange Gray Brown Blue Blue Purple Yellow Yellow Orange Gray\nGreen Green Brown Orange Brown Orange Green Green Orange Red Orange\nGreen Green Purple Red Pink Purple Green Green Purple Yellow Purple\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue Blue\n\n\nExample 2\nInput:\nPurple Green Green Orange Orange Gray Red Blue\nGray Green Green Purple Red Brown Pink Pink\nOrange Red Purple Gray Purple Gray Brown Red\nOrange Gray Orange Yellow Red Red Red Orange\nPink Orange Brown Yellow Purple Pink Brown Yellow\nGreen Green Brown Purple Orange Purple Blue Blue\nGreen Green Purple Gray Red Yellow Orange Yellow\nBrown Blue Red Blue Brown Red Red Gray\nBrown Yellow Gray Yellow Brown Pink Blue Red\nBlue Red Pink Yellow Green Green Purple Gray\nBrown Gray Gray Yellow Green Green Pink Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Blue\n\n\nExample 3\nInput:\nGray Brown Purple Blue Yellow Pink Blue Yellow\nRed Yellow Orange Gray Red Yellow Blue Pink\nPurple Orange Gray Orange Orange Yellow Orange Blue\nBlue Red Orange Brown Brown Purple Pink Orange\nPink Gray Brown Orange Red Gray Purple Blue\nYellow Pink Pink Gray Red Brown Brown Orange\nOrange Red Purple Blue Brown Orange Orange Yellow\nPink Blue Orange Pink Yellow Red Brown Brown\nRed Pink Purple Gray Green Green Purple Gray\nOrange Brown Blue Purple Green Green Red Gray\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue\n\n\nHere is the input grid for the test example:\nInput:\nOrange Brown Purple Purple Brown Pink Yellow Orange Pink Gray\nRed Blue Yellow Pink Blue Brown Red Brown Orange Pink\nGray Blue Brown Yellow Red Gray Brown Green Green Red\nOrange Gray Red Purple Blue Blue Brown Green Green Brown\nOrange Blue Yellow Brown Blue Orange Orange Red Brown Orange\nRed Yellow Pink Gray Orange Purple Orange Gray Pink Yellow\nPurple Red Yellow Purple Orange Purple Orange Red Orange Pink\nBrown Gray Pink Red Pink Red Purple Orange Red Blue\nRed Brown Orange Purple Blue Brown Green Green Red Pink\nBrown Brown Blue Brown Red Gray Green Green Yellow 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 Black Black Black Black Black Black 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 Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Red Red Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\nBlack Black Black Black Black Black Black Black Black Black Red Red Red Red Red Red Red Red\n\n\nExample 2\nInput:\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Black Black Black Black Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Purple Purple Purple Purple Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Black Black Purple Purple Black Black Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Purple Purple Black Black Black Black\nPink Pink Pink Pink Pink Pink Black Black Purple Purple Black Black Black Black\nPink Pink Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nPink Pink Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nPink Pink Black Black Black Black Black Black Black Black Purple Purple Black Black\nPink Pink Black Black Black Black Black Black Black Black Purple Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Purple Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Purple Purple Pink Pink Pink Pink\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Purple Purple Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Pink Pink Purple Purple Purple Purple\nBlack Black Black Black Black Black Black Black Pink Pink Purple Purple Purple Purple\n\n\nExample 3\nInput:\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Purple Purple Black Black Black Black\nPink Pink Pink Pink Black Black Black Black Purple Purple Black Black Black Black\nPink Pink Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nPink Pink Black Black Purple Purple Purple Purple Purple Purple Black Black Black Black\nGreen Green Green Green Black Black Black Black Purple Purple Blue Blue Blue Blue\nGreen Green Green Green Black Black Black Black Purple Purple Blue Blue Blue Blue\nGreen Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue\nGreen Green Green Green Black Black Black Black Black Black Blue Blue Blue Blue\n\nOutput:\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Pink Pink Black Black Black Black\nBlack Black Black Black Purple Purple Pink Pink Purple Purple Black Black Black Black\nBlack Black Black Black Purple Purple Pink Pink Purple Purple Black Black Black Black\nBlack Black Black Black Black Black Green Green Green Green Blue Blue Blue Blue\nBlack Black Black Black Black Black Green Green Green Green Blue Blue Blue Blue\nBlack Black Black Black Black Black Green Green Green Green Blue Blue Blue Blue\nBlack Black Black Black Black Black Green Green Green Green Blue Blue Blue Blue\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Black Black Black Black Black Black Black Black\nRed Red Red Red Blue Blue Blue Blue Black Black Black Black\nRed Red Red Red Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Blue Blue Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Blue Blue Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Black Black Black Black\nBlack Black Black Black Red Red Red Red Blue Blue Blue Blue\nBlack Black Black Black Red Red Red Red Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Blue Blue Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Black Black 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 Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black 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 Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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 Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\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\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Purple Brown\nBlack Black Black Black Black Black Black Black Purple Brown\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Brown Brown Brown Brown Brown Brown Black\nBlack Black Black Black Black Black 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\nBrown Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBrown Pink Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Pink Pink Pink Pink Pink Pink Pink Pink Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n\n\nExample 3\nInput:\nBlack Black Black Black Black Black Black Black Black Black\nBrown Purple Black Black Black Black Black Black Black Black\nBrown Brown Black Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Purple Purple 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\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 Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Purple Purple Purple Purple Purple Purple Black\nBlack Black Black Purple Purple 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\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 Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Gray Gray Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Gray Gray Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlue Blue Blue Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\nBlue Black Black Black Black Black Black Black Black\n\nOutput:\nBlue Blue Blue Black Black\nBlue Black Black Black Black\nBlue Black Black Black Black\n\n\nExample 2\nInput:\nPurple Purple Purple Black Black Black Black Black Black Black Black Black\nPink Black Pink Black Black Black Black Black Black Black Black Black\nPink Pink Pink Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple Purple Purple Black Black Black Black\nPink Black Pink Black Black Black Black\nPink Pink Pink Black Black Black Black\n\n\nExample 3\nInput:\nPink Pink Pink Pink Black Black Black Black\nPink Red Red Pink Black Black Black Black\nPink Brown Brown Pink Black Black Black Black\nPink Pink Pink Pink Black Black Black Black\n\nOutput:\nPink Pink Pink Pink Black\nPink Red Red Pink Black\nPink Brown Brown Pink Black\nPink Pink Pink Pink Black\n\n\nHere is the input grid for the test example:\nInput:\nGreen Yellow Black Black Black Black\nBlue Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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 Yellow Black Black\nBlue Black Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Brown Brown Brown Brown Brown Brown Brown Brown Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Green Green Green Green Green Green Green Green Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Yellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Gray Gray Gray Gray Red Red Red Red Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Gray Gray Gray Gray Red Red Red Red Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Gray Gray Gray Gray Red Red Red Red Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Gray Gray Gray Gray Red Red Red Red Yellow Yellow Yellow Yellow\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Purple Purple Purple Purple\nGray Gray Gray Gray Orange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown\nGray Gray Gray Gray Orange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown\nGray Gray Gray Gray Orange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown\nGray Gray Gray Gray Orange Orange Orange Orange Green Green Green Green Brown Brown Brown Brown\nRed Red Red Red Yellow Yellow Yellow Yellow Green Green Green Green Brown Brown Brown Brown\nRed Red Red Red Yellow Yellow Yellow Yellow Green Green Green Green Brown Brown Brown Brown\nRed Red Red Red Yellow Yellow Yellow Yellow Green Green Green Green Brown Brown Brown Brown\nRed Red Red Red Yellow Yellow Yellow Yellow Green Green Green Green Brown Brown Brown Brown\nYellow 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\nYellow 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\n\n\nExample 2\nInput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nYellow Yellow Yellow Yellow Yellow Yellow Yellow Yellow Green Green Green Green Yellow Yellow Yellow Yellow Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink\nGray Gray Gray Gray Gray Gray Gray Gray Green Green Green Green Pink Pink Pink Pink Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Brown Brown Brown Brown Green Green Green Green Blue Blue Blue Blue Blue Blue Blue Blue\nBrown Brown Brown Brown Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Purple Purple Purple Purple\nBrown Brown Brown Brown Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Purple Purple Purple Purple\nBrown Brown Brown Brown Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Purple Purple Purple Purple\nBrown Brown Brown Brown Orange Orange Orange Orange Yellow Yellow Yellow Yellow Brown Brown Brown Brown Purple Purple Purple Purple\nRed Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Orange Orange Orange Orange\nRed Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Orange Orange Orange Orange\nRed Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Orange Orange Orange Orange\nRed Red Red Red Gray Gray Gray Gray Gray Gray Gray Gray Purple Purple Purple Purple Orange Orange Orange Orange\n\nOutput:\nRed Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Yellow Yellow Yellow Yellow\nRed Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Yellow Yellow Yellow Yellow\nRed Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Yellow Yellow Yellow Yellow\nRed Red Red Red Brown Brown Brown Brown Brown Brown Brown Brown Gray Gray Gray Gray Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Orange Orange Orange Orange Brown Brown Brown Brown Gray Gray Gray Gray Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Orange Orange Orange Orange Brown Brown Brown Brown Gray Gray Gray Gray Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Orange Orange Orange Orange Brown Brown Brown Brown Gray Gray Gray Gray Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Orange Orange Orange Orange Brown Brown Brown Brown Gray Gray Gray Gray Yellow Yellow Yellow Yellow\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green\nGray Gray Gray Gray Yellow Yellow Yellow Yellow Green Green Green Green Green Green Green Green Green Green Green Green\nPurple Purple Purple Purple Brown Brown Brown Brown Blue Blue Blue Blue Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Brown Brown Brown Brown Blue Blue Blue Blue Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Brown Brown Brown Brown Blue Blue Blue Blue Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Brown Brown Brown Brown Blue Blue Blue Blue Pink Pink Pink Pink Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Purple Purple Purple Purple Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Purple Purple Purple Purple Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Purple Purple Purple Purple Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink\nOrange Orange Orange Orange Purple Purple Purple Purple Blue Blue Blue Blue Pink Pink Pink Pink Pink Pink Pink Pink\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Purple Purple Purple Purple Red Red Red Red Gray Gray Gray Gray Pink Pink Pink Pink\nOrange Orange Orange Orange Purple Purple Purple Purple Red Red Red Red Gray Gray Gray Gray Pink Pink Pink Pink\nOrange Orange Orange Orange Purple Purple Purple Purple Red Red Red Red Gray Gray Gray Gray Pink Pink Pink Pink\nOrange Orange Orange Orange Purple Purple Purple Purple Red Red Red Red Gray Gray Gray Gray Pink Pink Pink Pink\nBrown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Blue Blue Blue Blue Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Blue Blue Blue Blue Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Blue Blue Blue Blue Gray Gray Gray Gray\nBrown Brown Brown Brown Brown Brown Brown Brown Red Red Red Red Blue Blue Blue Blue Gray Gray Gray Gray\nPurple Purple Purple Purple Brown Brown Brown Brown Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Brown Brown Brown Brown Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Brown Brown Brown Brown Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow\nPurple Purple Purple Purple Brown Brown Brown Brown Red Red Red Red Red Red Red Red Yellow Yellow Yellow Yellow\nOrange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown\nOrange Orange Orange Orange Orange Orange Orange Orange Gray Gray Gray Gray Gray Gray Gray Gray Brown Brown Brown Brown\nOrange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray\nOrange Orange Orange Orange Blue Blue Blue Blue Blue Blue Blue Blue Gray Gray Gray Gray Gray Gray Gray Gray\n\nOutput:\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange\nOrange Orange Orange Orange Orange Orange Orange Orange Purple Purple Purple Purple Brown Brown Brown Brown Orange Orange Orange Orange\nBlue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple\nBlue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple\nBlue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple\nBlue Blue Blue Blue Orange Orange Orange Orange Brown Brown Brown Brown Brown Brown Brown Brown Purple Purple Purple Purple\nBlue Blue Blue Blue Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red\nBlue Blue Blue Blue Gray Gray Gray Gray Red Red Red Red Red Red Red Red Red Red Red Red\nGray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Blue Blue Blue Blue Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Blue Blue Blue Blue Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Blue Blue Blue Blue Gray Gray Gray Gray\nGray Gray Gray Gray Gray Gray Gray Gray Red Red Red Red Blue Blue Blue Blue Gray Gray Gray Gray\nGray Gray Gray Gray Brown Brown Brown Brown Yellow Yellow Yellow Yellow Gray Gray Gray Gray Pink Pink Pink Pink\nGray Gray Gray Gray Brown Brown Brown Brown Yellow Yellow Yellow Yellow Gray Gray Gray Gray Pink Pink Pink Pink\nGray Gray Gray Gray Brown Brown Brown Brown Yellow Yellow Yellow Yellow Gray Gray Gray Gray Pink Pink Pink Pink\nGray Gray Gray Gray Brown Brown Brown Brown Yellow Yellow Yellow Yellow Gray Gray Gray Gray Pink Pink Pink Pink\n\n\nHere is the input grid for the test example:\nInput:\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Red Red Red Red\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Red Red Red Red\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Red Red Red Red\nPurple Purple Purple Purple Yellow Yellow Yellow Yellow Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nBlue Blue Blue Blue Blue Blue Blue Blue Pink Pink Pink Pink\nPink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue\nPink Pink Pink Pink Blue Blue Blue Blue Blue Blue Blue Blue\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nPink Pink Pink Pink Blue Blue Blue Blue Purple Purple Purple Purple\nPink Pink Pink Pink Blue Blue Blue Blue Purple Purple Purple Purple\nPink Pink Pink Pink Blue Blue Blue Blue Purple Purple Purple Purple\nPink Pink Pink Pink Blue Blue Blue Blue Purple Purple Purple Purple\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Blue Blue Blue Blue Yellow Yellow Yellow Yellow\nBlue Blue Blue Blue Pink Pink Pink Pink Red Red Red Red\nBlue Blue Blue Blue Pink Pink Pink Pink Red Red Red Red\nBlue Blue Blue Blue Pink Pink Pink Pink Red Red Red Red\nBlue Blue Blue Blue Pink Pink Pink Pink 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 Gray Gray Gray Gray Black Black Black Black Green Black Black Green Black\nBlack Black Gray Gray Gray Gray Black Black Black Black Green Green Green Green Black\nBlack Black Gray Gray Gray Gray Blue Blue Blue Black Black Green Green Black Black\nBlack Black Black Black Black Black Blue Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Blue Black Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Brown Brown Brown Brown Black Black Pink Pink Pink Pink Black Black Black\nBlack Black Black Brown Brown Black Black Black Black Pink Pink Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Purple Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPurple\n\n\nExample 2\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Green Black Black Green 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 Orange Green Green Green Green Black Black Black Black Black Black Black Black Black\nBlack Black Orange Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Orange Orange Orange Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Gray Gray Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nPink\n\n\nExample 3\nInput:\nBlack Brown Black Brown Black Black Black Black Black Black Black Black Black Black\nBlack Brown Brown Brown Black Black Black Black Black Black Red Red Red Black\nBlack Brown Brown Brown Black Yellow Black Black Black Black Black Red Red Black\nBlack Brown Black Brown Black Yellow Yellow Black Black Black Black Red Red Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Red Red Red Black\nBlack Black Black Black Black Black Black Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Orange Black Black Black Black Black Black Black\nBlack Black Black Black Orange Black Black Black Black Black Black Black Black Black\nBlack Black Black Orange Orange Black Black Black Black Black Black Black Black Black\n\nOutput:\nGreen\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 Green Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Orange Orange Orange Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Purple Purple Black Black Black Black Black Black\nBlack Black Black Brown Brown Brown Brown Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Black Purple Purple Black Black Black Black Black Black\nBlack Black Black Black Brown Brown Purple Purple Purple Purple Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\n\nDirectly provide the output grids corresponding to the given test input 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\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Green Green Black Black Black Black Black Black Yellow Yellow\nBlack Black Black Black Green Green Black Black Black Black Black Black Green Green Black Black Black Black Black Black Yellow Yellow\nBlack 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 Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Blue Blue Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Green Green Black Black Black Black Green Green Yellow Yellow Blue Blue Green Green Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Green Green Yellow Yellow Blue Blue Green Green Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Yellow Yellow Yellow Yellow Blue Blue Black Black Black Black Blue Blue Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Yellow Yellow\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Yellow Yellow\n\nOutput:\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black\nBlack Black 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 Pink Pink Orange Orange Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Gray Gray Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Orange Orange Gray Gray Pink Pink Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Pink Pink Orange Orange Gray Gray Pink Pink Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Gray Gray Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Orange Orange Orange Orange Gray Gray Black Black Black Black Gray Gray Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Orange Orange Black Black Black Black Orange Orange\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Orange Orange Black Black Black Black Orange Orange\n\n\nExample 2\nInput:\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Blue Blue Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black 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 Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nBlue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Blue Black Black Yellow Yellow Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Blue Blue Black Black Yellow Yellow Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Blue Blue Blue Blue Black Black Black Black Black Black Blue Blue Blue Blue Blue Blue Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\n\nOutput:\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Gray Gray Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nGray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Black Black Orange Orange Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Gray Gray Black Black Orange Orange Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Orange Orange Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Gray Gray Gray Gray Black Black Black Black Black Black Gray Gray Gray Gray Gray Gray Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink 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 Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green\nBlack Black Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue\nBlue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlue Blue Black Black Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Yellow Yellow Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Green Green Black Black Black Black Black Black Blue Blue 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 Blue Blue Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Black Black Black Black Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Green Green Green Green Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Black Black Black Black Green Green Green Green Black Black Green Green\nGreen Green Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nGreen Green Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green\nBlack Black Black Black Green Green Black Black Black 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 Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Blue Blue Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Black Black Yellow Yellow Green Green Black Black Black Black Blue Blue Black Black\n\nOutput:\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink\nBlack Black Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray\nGray Gray Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nGray Gray Black Black Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Orange Orange Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Orange Orange Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Pink Pink Black Black Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Orange Orange Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Gray Gray Orange Orange Black Black Black Black Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Black Black Black Black Pink Pink Pink Pink Black Black Pink Pink\nPink Pink Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nPink Pink Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Gray Gray Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Black Black Orange Orange Pink Pink Black Black Black Black Gray Gray Black Black\n\n\nHere is the input grid for the test example:\nInput:\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Green Green Black Black Yellow Yellow Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nBlack Black Black Black Black Black Black Black Green Green Blue Blue Black Black Black Black Yellow Yellow Yellow Yellow Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nYellow Yellow Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black\nGreen Green Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGreen Green Black Black 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 Yellow Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Black Black Yellow Yellow Black Black Blue Blue Blue Blue Black Black Black Black Blue Blue Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Green Green Black Black Black Black Black Black Green Green Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Green Green Yellow Yellow Yellow Yellow Black Black Black Black Black Black\nBlue Blue Green Green Black Black Black Black Blue Blue Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlue Blue Green Green Black Black Black Black 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 Green Green Black Black Green Green\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Green Green Black Black Green Green\nBlack Black Black Black Black Black Green Green Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Green Green Black Black Black Black Yellow Yellow Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Blue Blue Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Blue Blue Yellow Yellow Blue Blue Black Black\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Pink Pink Black Black Orange Orange Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Gray Gray Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nBlack Black Black Black Black Black Black Black Pink Pink Gray Gray Black Black Black Black Orange Orange Orange Orange Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nOrange Orange Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nPink Pink Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Black Black Orange Orange Black Black Gray Gray Gray Gray Black Black Black Black Gray Gray Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Pink Pink Black Black Black Black Black Black Pink Pink Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Orange Orange Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Pink Pink Orange Orange Orange Orange Black Black Black Black Black Black\nGray Gray Pink Pink Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nGray Gray Pink Pink Black Black Black Black Gray Gray Black Black Black Black Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Pink Pink Black Black Pink Pink\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Pink Pink Black Black Black Black Orange Orange Black Black Black Black Black Black Black Black Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Orange Orange Gray Gray Black Black\nBlack Black Black Black Black Black Black Black Black Black Black Black Black Black Black Black Gray Gray Orange Orange Gray Gray Black Black\n```",
"role": "assistant"
}
] |
[
{
"content": "You are a world-class puzzle solver with exceptional pattern recognition skills. Your task is to analyze puzzles, spot patterns, and provide direct solutions.",
"role": "system"
},
{
"content": "Given input-output grid pairs as reference examples, carefully observe the patterns to predict the output grid for new test input. Each pair follows the same transformation rule. Grids are 2D arrays represented as strings, with cells (colors) separated by spaces and rows by newlines.\nHere are the input and output grids for the reference examples:\nExample 1\nInput:\nPurple Blue Yellow Yellow Blue Purple\nBrown Yellow Yellow Yellow Yellow Brown\nYellow Purple Brown Brown Purple Yellow\nBlue Red Brown Brown Red Blue\nBlue Red Brown Brown Red Blue\nYellow Purple Brown Brown Purple Yellow\nBrown Yellow Yellow Yellow Yellow Brown\nPurple Blue Yellow Yellow Blue Purple\n\nOutput:\nGreen Green Green Red Red Red\nGreen Green Green Red Red Red\nGreen Green Green Red Red Red\nGreen Green Green Red Red Red\nBlue Blue Blue Brown Red Blue\nBlue Blue Blue Brown Purple Yellow\nBlue Blue Blue Yellow Yellow Brown\nBlue Blue Blue Yellow Blue Purple\n\n\nExample 2\nInput:\nYellow Purple Red Purple Purple Red Purple Yellow\nBrown Blue Brown Blue Blue Brown Blue Brown\nRed Brown Red Yellow Brown Red Purple Purple\nBrown Blue Brown Blue Blue Brown Blue Brown\nYellow Purple Red Purple Purple Red Purple Yellow\n\nOutput:\nGreen Green Green Green Red Red Red Red\nGreen Green Green Green Red Red Red Red\nRed Red Green Red Red Red Red Red\nBlue Blue Blue Blue Blue Brown Blue Brown\nBlue Blue Blue Blue Purple Red Purple Yellow\n\n\nExample 3\nInput:\nBrown Red Purple Purple Yellow Purple Purple Red Brown\nRed Brown Blue Blue Red Blue Blue Brown Red\nYellow Red Red Red Yellow Purple Brown Blue Purple\nRed Brown Blue Blue Purple Blue Blue Brown Red\nBrown Red Purple Purple Brown Purple Purple Red Brown\n\nOutput:\nGreen Green Green Green Blue Red Red Red Red\nGreen Green Green Green Blue Red Red Red Red\nRed Red Red Red Green Red Red Red Red\nBlue Blue Blue Blue Blue Blue Blue Brown Red\nBlue Blue Blue Blue Blue Purple Purple Red Brown\n\n\nHere is the input grid for the test example:\nInput:\nBrown Blue Brown Yellow Brown Blue Brown\nYellow Red Red Brown Red Red Yellow\nRed Red Yellow Purple Yellow Red Red\nBrown Red Blue Brown Blue Blue Red\nRed Red Yellow Yellow Yellow Red Red\nYellow Red Red Red Red Red Yellow\nBrown Blue Brown Blue Brown Blue Brown\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nGreen Green Green Blue Red Red Red\nGreen Green Green Blue Red Red Red\nGreen Green Green Blue Red Red Red\nRed Red Green Green Red Red Red\nBlue Blue Blue Blue Yellow Red Red\nBlue Blue Blue Blue Red Red Yellow\nBlue Blue Blue Blue Brown Blue 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:\nPurple Purple Purple Purple Purple Purple Purple\nPurple Black Black Yellow Black Black Purple\nPurple Black Yellow Yellow Yellow Black Purple\nPurple Yellow Yellow Yellow Yellow Yellow Purple\nPurple Black Yellow Yellow Yellow Black Purple\nPurple Black Black Yellow Black Black Purple\nPurple Purple Purple Purple Purple Purple Purple\n\nOutput:\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Black Yellow Black Black Yellow\nYellow Black Yellow Yellow Yellow Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\nYellow Black Yellow Yellow Yellow Black Yellow\nYellow Black Black Yellow Black Black Yellow\nYellow Yellow Yellow Yellow Yellow Yellow Yellow\n\n\nExample 2\nInput:\nPink Pink Pink Pink Pink Pink Pink\nPink Black Green Black Green Black Pink\nPink Green Green Black Green Green Pink\nPink Green Green Green Green Green Pink\nPink Green Green Green Green Green Pink\nPink Black Green Green Green Black Pink\nPink Pink Pink Pink Pink Pink Pink\n\nOutput:\nGreen Green Green Green Green Green Green\nGreen Black Green Green Green Black Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Black Green Green Green Black Green\nGreen Green Green Green Green Green Green\n\n\nExample 3\nInput:\nOrange Orange Orange Orange Orange Orange Orange\nOrange Green Green Black Black Black Orange\nOrange Green Green Black Black Black Orange\nOrange Green Green Green Green Green Orange\nOrange Green Green Green Green Green Orange\nOrange Green Black Black Black Black Orange\nOrange Orange Orange Orange Orange Orange Orange\n\nOutput:\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\nGreen Green Green Green Green Green Green\n\n\nHere is the input grid for the test example:\nInput:\nPink Pink Pink Pink Pink Pink Pink\nPink Gray Black Gray Gray Gray Pink\nPink Gray Gray Gray Gray Gray Pink\nPink Black Black Black Gray Gray Pink\nPink Gray Gray Gray Gray Gray Pink\nPink Gray Black Gray Gray Gray Pink\nPink Pink Pink Pink Pink Pink Pink\n\n\nDirectly provide the output grids corresponding to the given test input grids, based on the patterns observed in the reference examples.",
"role": "user"
},
{
"content": "The output grid for the test input grid is:\n\n```\nBlack Black Black Black Black Black Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Black Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Gray Gray Gray Gray Gray Black\nBlack Black Black Black Black Black Black\n```",
"role": "assistant"
}
] |